Hugo Acuña – Investigador

@article{Buono2014,
abstract = {Many real networks exhibit a layered structure in which links in each layer reflect the function of nodes on different environments. These multiple types of links are usually represented by a multiplex network in which each layer has a different topology. In real-world networks, however, not all nodes are present on every layer. To generate a more realistic scenario, we use a generalized multiplex network and assume that only a fraction [Formula: see text] of the nodes are shared by the layers. We develop a theoretical framework for a branching process to describe the spread of an epidemic on these partially overlapped multiplex networks. This allows us to obtain the fraction of infected individuals as a function of the effective probability that the disease will be transmitted [Formula: see text]. We also theoretically determine the dependence of the epidemic threshold on the fraction [Formula: see text] of shared nodes in a system composed of two layers. We find that in the limit of [Formula: see text] the threshold is dominated by the layer with the smaller isolated threshold. Although a system of two completely isolated networks is nearly indistinguishable from a system of two networks that share just a few nodes, we find that the presence of these few shared nodes causes the epidemic threshold of the isolated network with the lower propagating capacity to change discontinuously and to acquire the threshold of the other network.},
archivePrefix = {arXiv},
arxivId = {1310.1939},
author = {Buono, Camila and Alvarez-Zuzek, Lucila G. and Macri, Pablo A. and Braunstein, Lidia A.},
doi = {10.1371/journal.pone.0092200},
eprint = {1310.1939},
file = {:opt/publicaciones/mendeley/Buono et al. - 2014 - Epidemics in partially overlapped multiplex networks.pdf:pdf},
issn = {1932-6203},
journal = {PloS one},
number = {3},
pages = {e92200},
pmid = {24632709},
title = {{Epidemics in partially overlapped multiplex networks.}},
url = {http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=3954885\&tool=pmcentrez\&rendertype=abstract},
volume = {9},
year = {2014}
}

@article{Megevand2009,
abstract = {We study the steady state motion of bubble walls in cosmological phase transitions. Taking into account the boundary and continuity conditions for the fluid variables, we calculate numerically the wall velocity as a function of the nucleation temperature, the latent heat, and a friction parameter. We determine regions in the space of these parameters in which detonations and/or deflagrations are allowed. In order to apply the results to a physical case, we calculate these quantities in a specific model, which consists of an extension of the Standard Model with singlet scalar fields. We also obtain analytic approximations for the wall velocity, both in the case of deflagrations and of detonations. © 2009 Elsevier B.V. All rights reserved.},
archivePrefix = {arXiv},
arxivId = {0904.1753},
author = {M\'{e}gevand, Ariel and S\'{a}nchez, Alejandro D.},
doi = {10.1016/j.nuclphysb.2009.05.007},
eprint = {0904.1753},
file = {:opt/publicaciones/mendeley/M\'{e}gevand, S\'{a}nchez - 2009 - Detonations and deflagrations in cosmological phase transitions.pdf:pdf},
issn = {05503213},
journal = {Nuclear Physics B},
number = {1-2},
pages = {47--74},
publisher = {Elsevier B.V.},
title = {{Detonations and deflagrations in cosmological phase transitions}},
url = {http://dx.doi.org/10.1016/j.nuclphysb.2009.05.007},
volume = {820},
year = {2009}
}

@article{LaRocca2011,
abstract = {In this paper we study a model of synchronization process on scale free networks with degreedegree correlations. This model was already studied on this kind of networks without correlations by Pastore y Piontti et al. [A.L. Pastore y Piontti, P.A. Macri, L.A. Braunstein, Phys. Rev. E 76 (2007) 046117]. Here, we study the effects of the degreedegree correlation on the behavior of the load fluctuations Ws in the steady state. We found that for assortative networks there exist a specific correlation where the system is optimally synchronized. In addition, we found that close to this optimal value the fluctuations does not depend on the system size and therefore the system becomes fully scalable. This result could be very important for some technological applications. On the other hand, far from the optimal correlation, Ws scales logarithmically with the system size. ?? 2011 Elsevier B.V. All rights reserved.},
archivePrefix = {arXiv},
arxivId = {arXiv:1202.3059v1},
author = {La\_Rocca, C. E. and Braunstein, L. A. and MacRi, P. A.},
doi = {10.1016/j.physa.2011.03.013},
eprint = {arXiv:1202.3059v1},
file = {:opt/publicaciones/mendeley/La\_Rocca, Braunstein, MacRi - 2011 - Synchronization in scale free networks with degree correlation.pdf:pdf},
issn = {03784371},
journal = {Physica A: Statistical Mechanics and its Applications},
keywords = {Complex networks,Degreedegree correlations,Synchronization},
number = {15},
pages = {2840--2844},
title = {{Synchronization in scale free networks with degree correlation}},
volume = {390},
year = {2011}
}

@article{LaRocca2009a,
abstract = {In this paper, we study the steady state of the fluctuations of the surface for a model of surface growth with relaxation to any of its lower nearest neighbors (SRAM) [F. Family, J. Phys. A 19, (1986) L441] in scale free networks. It is known that for Euclidean lattices this model belongs to the same universality class as the model of surface relaxation to the minimum (SRM). For the SRM model, it was found that for scale free networks with broadness ??, the steady state of the fluctuations scales with the system size N as a constant for ?? ??? 3 and has a logarithmic divergence for ?? < 3 [A.L. Pastore y Piontti, P.A. Macri, L.A. Braunstein, Phys. Rev. E 76 (2007) 046117]. It was also shown [C.E. La Rocca, L.A. Braunstein, P.A. Macri, Phys. Rev. E 77 (2008) 046120] that this logarithmic divergence is due to non-linear terms that arises from the topology of the network. In this paper, we show that the fluctuations for the SRAM model scale as in the SRM model. We also derive analytically the evolution equation for this model for any kind of complex graphs and find that, as in the SRM model, non-linear terms appear due to the heterogeneity and the lack of symmetry of the network. In spite of that, the two models have the same scaling, but the SRM model is more efficient to synchronize systems. ?? 2008 Elsevier B.V. All rights reserved.},
archivePrefix = {arXiv},
arxivId = {arXiv:1202.3047v1},
author = {La\_Rocca, C. E. and {Pastore y Piontti}, a. L. and Braunstein, L. a. and Macri, P. a.},
doi = {10.1016/j.physa.2008.10.001},
eprint = {arXiv:1202.3047v1},
file = {:opt/publicaciones/mendeley/La\_Rocca et al. - 2009 - A mechanism to synchronize fluctuations in scale free networks using growth models.pdf:pdf},
issn = {03784371},
journal = {Physica A: Statistical Mechanics and its Applications},
keywords = {Complex networks,Interface growth models,Transport in complex networks},
number = {2-3},
pages = {233--239},
publisher = {Elsevier B.V.},
title = {{A mechanism to synchronize fluctuations in scale free networks using growth models}},
url = {http://dx.doi.org/10.1016/j.physa.2008.10.001},
volume = {388},
year = {2009}
}

@article{Garc2014,
abstract = {In classical statistical mechanics there is a clear correlation between relaxation to equilibrium and chaos. In contrast, for isolated quantum systems this relation is -- to say the least -- fuzzy. In this work we try to unveil the intricate relation between the relaxation process and the transition from integrability to chaos. We study the approach to equilibrium in two different many body quantum systems that can be parametrically tuned from regular to chaotic. We show that a universal relation between relaxation and delocalization of the initial state in the perturbed basis can be established regardless of the chaotic nature of system.},
archivePrefix = {arXiv},
arxivId = {arXiv:1408.2838v1},
author = {Garc\'{\i}a, Ignacio and Roncaglia, Augusto J. and Wisniacki, Diego A.},
doi = {10.1103/PhysRevE.91.010902},
eprint = {arXiv:1408.2838v1},
file = {:opt/publicaciones/mendeley/Garc\'{\i}a, Roncaglia, Wisniacki - 2014 - Relaxation of isolated quantum systems beyond chaos.pdf:pdf},
issn = {15502376},
pages = {1--5},
title = {{Relaxation of isolated quantum systems beyond chaos}},
volume = {010902},
year = {2014}
}

@article{Garcia-Mata2003,
abstract = {The linear entropy and the Loschmidt echo have proved to be of interest recently in the context of quantum information and of the quantum to classical transitions. We study the asymptotic long-time behavior of these quantities for open quantum maps and relate the decays to the eigenvalues of a coarse-grained superoperator. In specific ranges of coarse graining, and for chaotic maps, these decay rates are given by the Ruelle-Pollicott resonances of the classical map.},
archivePrefix = {arXiv},
arxivId = {nlin/0301025},
author = {Garc\'{\i}a-Mata, Ignacio and Saraceno, Marcos and Spina, Mar\'{\i}a Elena},
doi = {10.1103/PhysRevLett.91.064101},
eprint = {0301025},
file = {:opt/publicaciones/mendeley/Garc\'{\i}a-Mata, Saraceno, Spina - 2003 - Classical decays in decoherent quantum maps.pdf:pdf},
isbn = {0031-9007 (Print)$\backslash$n0031-9007 (Linking)},
issn = {0031-9007},
journal = {Physical review letters},
number = {6},
pages = {064101},
pmid = {12935077},
primaryClass = {nlin},
title = {{Classical decays in decoherent quantum maps.}},
volume = {91},
year = {2003}
}

@article{At2000,
abstract = {We analyze a trapping reaction with a single penetrable trap, in a one-dimensional lattice, where both species (particles and trap) are mobile and have a drift velocity. We obtain the density as seen from a reference system attached to the trap and from the laboratory frame. In addition, we study the nearest neighbor distance to the trap. We exploit a previously developed stochastic model, and compare the results with numerical simulations, resulting in an excellent agreement.},
archivePrefix = {arXiv},
arxivId = {cond-mat/9911270},
author = {S\'{a}nchez, Alejandro D.},
doi = {10.1016/S0378-4371(00)00196-5},
eprint = {9911270},
file = {:opt/publicaciones/mendeley/S\'{a}nchez - 2000 - Trapping with biased diffusion species.pdf:pdf},
issn = {03784371},
journal = {Physica A: Statistical Mechanics and its Applications},
number = {1},
pages = {1--12},
primaryClass = {cond-mat},
title = {{Trapping with biased diffusion species}},
volume = {284},
year = {2000}
}

@article{RuizBarlett2009,
abstract = {We consider biased diffusion in a one-dimensional lattice and compare results obtained with fixed time step and kinetic Monte Carlo methods. Spurious dispersion and particle position correlation appear with the fixed time step Monte Carlo approach. The mentioned correlation increases with time. We demonstrate that the correct results, that correspond to a time step that tends to zero, are obtained using the kinetic Monte Carlo method. The conclusions also apply to biased diffusion in two or more dimensions and to random deposition. © 2009 Elsevier Inc. All rights reserved.},
author = {{Ruiz Barlett}, V. and Bige\'{o}n, J. J. and Hoyuelos, M. and Martin, H. O.},
doi = {10.1016/j.jcp.2009.04.035},
file = {:opt/publicaciones/mendeley/Ruiz Barlett et al. - 2009 - Differences between fixed time step and kinetic Monte Carlo methods for biased diffusion.pdf:pdf},
issn = {00219991},
journal = {Journal of Computational Physics},
keywords = {Diffusion,Monte Carlo method,Random walk},
number = {16},
pages = {5740--5748},
title = {{Differences between fixed time step and kinetic Monte Carlo methods for biased diffusion}},
volume = {228},
year = {2009}
}

@article{Braunstein2006,
abstract = {We review results on the scaling of the optimal path length in random networks with weighted links or nodes. In strong disorder we find that the length of the optimal path increases dramatically compared to the known small world result for the minimum distance. For Erd$\backslash$H\{o\}s-R$\backslash$'enyi (ER) and scale free networks (SF), with parameter \$\backslash lambda\$ (\$\backslash lambda >3\$), we find that the small-world nature is destroyed. We also find numerically that for weak disorder the length of the optimal path scales logaritmically with the size of the networks studied. We also review the transition between the strong and weak disorder regimes in the scaling properties of the length of the optimal path for ER and SF networks and for a general distribution of weights, and suggest that for any distribution of weigths, the distribution of optimal path lengths has a universal form which is controlled by the scaling parameter \$Z=\backslash ell\_\{\backslash infty\}/A\$ where \$A\$ plays the role of the disorder strength, and \$\backslash ell\_\{\backslash infty\}\$ is the length of the optimal path in strong disorder. The relation for \$A\$ is derived analytically and supported by numerical simulations. We then study the minimum spanning tree (MST) and show that it is composed of percolation clusters, which we regard as "super-nodes", connected by a scale-free tree. We furthermore show that the MST can be partitioned into two distinct components. One component the \{$\backslash$it superhighways\}, for which the nodes with high centrality dominate, corresponds to the largest cluster at the percolation threshold which is a subset of the MST. In the other component, \{$\backslash$it roads\}, low centrality nodes dominate. We demonstrate the significance identifying the superhighways by showing that one can improve significantly the global transport by improving a very small fraction of the network.},
archivePrefix = {arXiv},
arxivId = {cond-mat/0606338},
author = {Braunstein, L. a. and Wu, Z. and Chen, Y. and Buldyrev, S. V. and Sreenivasan, S. and Kalisky, T. and Cohen, R. and L\'{o}pez, E. and Havlin, S. and Stanley, H. E.},
doi = {10.1142/S0218127407018361},
eprint = {0606338},
file = {:opt/publicaciones/mendeley/Braunstein et al. - 2006 - Optimal Path and Minimal Spanning Trees in Random Weighted Networks.pdf:pdf},
isbn = {0218-1274},
issn = {0218-1274},
number = {7},
pages = {2215--2255},
pmid = {252021900003},
primaryClass = {cond-mat},
title = {{Optimal Path and Minimal Spanning Trees in Random Weighted Networks}},
url = {http://arxiv.org/abs/cond-mat/0606338},
volume = {17},
year = {2006}
}

@article{Dubertrand2014,
abstract = {We expose two scenarios for the breakdown of quantum multifractality under the effect of perturbations. In the first scenario, multifractality survives below a certain scale of the quantum fluctuations. In the other one, the fluctuations of the wave functions are changed at every scale and each multifractal dimension smoothly goes to the ergodic value. We use as generic examples a one-dimensional dynamical system and the three-dimensional Anderson model at the metal-insulator transition. Our results suggest that quantum multifractality breakdown is universal and follows one of these two scenarios depending on the perturbation. We also discuss the experimental implications.},
archivePrefix = {arXiv},
arxivId = {1402.1658},
author = {Dubertrand, R. and Garc\'{\i}a-Mata, I. and Georgeot, B. and Giraud, O. and Lemari\'{e}, G. and Martin, J.},
doi = {10.1103/PhysRevLett.112.234101},
eprint = {1402.1658},
file = {:opt/publicaciones/mendeley/Dubertrand et al. - 2014 - Two scenarios for quantum multifractality breakdown.pdf:pdf},
issn = {10797114},
journal = {Physical Review Letters},
number = {23},
pages = {1--5},
title = {{Two scenarios for quantum multifractality breakdown}},
volume = {112},
year = {2014}
}

@article{Valdez2013a,
abstract = {Many real-world networks depend on other networks, often in nontrivial ways, to maintain their functionality. These interdependent “networks of networks” are often extremely fragile. When a fraction 1−p of nodes in one network randomly fails, the damage propagates to nodes in networks that are interdependent and a dynamic failure cascade occurs that affects the entire system. We present dynamic equations for two interdependent networks that allow us to reproduce the failure cascade for an arbitrary pattern of interdependency. We study the “rich club” effect found in many real interdependent network systems in which the high-degree nodes are extremely interdependent, correlating a fraction $\alpha$ of the higher-degree nodes on each network. We find a rich phase diagram in the plane p-$\alpha$, with a triple point reminiscent of the triple point of liquids that separates a nonfunctional phase from two functional phases.},
archivePrefix = {arXiv},
arxivId = {arXiv:1308.4216v4},
author = {Valdez, L. D. and Macri, P. A. and Stanley, H. E. and Braunstein, L. A.},
doi = {10.1103/PhysRevE.88.050803},
eprint = {arXiv:1308.4216v4},
file = {:opt/publicaciones/mendeley/Valdez et al. - 2013 - Triple point in correlated interdependent networks.pdf:pdf},
issn = {15393755},
journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},
number = {5},
pages = {1--5},
title = {{Triple point in correlated interdependent networks}},
volume = {88},
year = {2013}
}

@article{Revelli2002,
abstract = {We exploit a simple one-dimensional trapping model introduced before, prompted by the problem of ion current across a biological membrane. The voltage-sensitive channels are open or closed depending on the value taken by an external potential that has two contributions: a deterministic periodic and a stochastic one. Here we assume that the noise source is colored and non-Gaussian, with a q-dependent probability distribution (where q is a parameter indicating the departure from Gaussianity). We analyze the behavior of the oscillation amplitude as a function of both q and the noise correlation time. The main result is that in addition to the resonant-like maximum as a function of the noise intensity, there is a new resonant maximum as a function of the parameter q. © 2002 Elsevier Science B.V. All rights reserved.},
archivePrefix = {arXiv},
arxivId = {cond-mat/0109454},
author = {Revelli, Jorge a. and S\'{a}nchez, Alejandro D. and Wio, Horacio S.},
doi = {10.1016/S0167-2789(02)00505-5},
eprint = {0109454},
file = {:opt/publicaciones/mendeley/Revelli, S\'{a}nchez, Wio - 2002 - Effect of non-Gaussian noises on the stochastic resonance-like phenomenon in gated traps.pdf:pdf},
issn = {01672789},
journal = {Physica D: Nonlinear Phenomena},
keywords = {Non-Gaussian noise,Stochastic resonance,Voltage-sensitive channel},
pages = {165--170},
primaryClass = {cond-mat},
title = {{Effect of non-Gaussian noises on the stochastic resonance-like phenomenon in gated traps}},
volume = {168-169},
year = {2002}
}

@article{Sanchez1999,
abstract = {We analyze the kinetics of trapping (A+B-->B) and annihilation (A+B-->0) processes on a one-dimensional substrate with homogeneous distribution of immobile B particles while the A particles are supplied by a localized source. For the imperfect reaction case, we analyze both problems by means of a stochastic model and compare the results with numerical simulations. In addition, we present the exact analytical results of the stochastic model for the case of perfect trapping.},
author = {S\'{a}nchez, Alejandro D. and Bouzat, S. and Wio, H. S.},
doi = {10.1103/PhysRevLett.70.1461},
file = {:opt/publicaciones/mendeley/S\'{a}nchez, Bouzat, Wio - 1999 - Reaction kinetics of diffusing particles injected into a reactive substrate.pdf:pdf},
issn = {0031-9007},
journal = {Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
number = {3},
pages = {2677--2683},
pmid = {11970069},
title = {{Reaction kinetics of diffusing particles injected into a reactive substrate.}},
volume = {60},
year = {1999}
}

@article{Casabone2009,
abstract = {The Loschmidt echo and the purity are two quantities that can provide invaluable information about the evolution of a quantum system. While the Loschmidt echo characterizes instability and sensitivity to perturbations, purity measures the loss of coherence produced by an environment coupled to the system. For classically chaotic systems both quantities display a number of -- supposedly universal -- regimes that can lead on to think of them as equivalent quantities. We study the decay of the Loschmidt echo and the purity for systems with finite dimensional Hilbert space and present numerical evidence of some fundamental differences between them.},
archivePrefix = {arXiv},
arxivId = {0908.2134},
author = {Casabone, B. and Garc\'{\i}a-Mata, I. and Wisniacki, D. A.},
doi = {10.1209/0295-5075/89/50009},
eprint = {0908.2134},
file = {:opt/publicaciones/mendeley/Casabone, Garc\'{\i}a-Mata, Wisniacki - 2009 - Discrepancies between decoherence and the Loschmidt echo.pdf:pdf},
issn = {0295-5075},
pages = {6},
title = {{Discrepancies between decoherence and the Loschmidt echo}},
url = {http://arxiv.org/abs/0908.2134},
volume = {50009},
year = {2009}
}

@article{Martel2006,
abstract = {The complex Swift-Hohenberg (CSH) equation is a generic order parameter equation that applies to many physical systems. In the case of class C lasers, it can be obtained from the Maxwell-Bloch equations using the assumptions of slow envelope and small detuning. We show that the resulting CSH equation inevitably contains different asymptotic order terms, associated with the dominance of the effect of dispersion over diffusion. These scale disparities are usually overlooked or simply not mentioned in the literature, assuming that a CSH equation with all terms of the same order still provides qualitative information. In this paper, the asymptotically nonuniform CSH equation is carefully deduced using a simpler scaling-free procedure, and a stability analysis of the simplest solutions together with some numerical simulations are presented, in which the mentioned scale disparities are clearly seen.},
author = {Martel, Carlos and Hoyuelos, Miguel},
doi = {10.1103/PhysRevE.74.036206},
file = {:opt/publicaciones/mendeley//Martel, Hoyuelos - 2006 - Scale disparities in the complex Swift-Hohenberg equation for lasers.pdf:pdf},
issn = {15393755},
journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},
number = {3},
pages = {1--9},
pmid = {17025728},
title = {{Scale disparities in the complex Swift-Hohenberg equation for lasers}},
volume = {74},
year = {2006}
}

@article{RuizBarlett2011,
abstract = {We analyze the different degrees of accuracy of two Monte Carlo methods for the simulation of one-dimensional diffusion processes with homogeneous or spatial dependent diffusion coefficient that we assume correctly described by a differential equation. The methods analyzed correspond to fixed and Gaussian steplengths. For a homogeneous diffusion coefficient it is known that the Gaussian steplength generates exact results at fixed time steps $\Delta$t. For spatial dependent diffusion coefficients the symmetric character of the Gaussian distribution introduces an error that increases with time. As an example, we consider a diffusion coefficient with constant gradient and show that the error is not present for fixed steplength with appropriate asymmetric jump probabilities. © 2011 Elsevier Inc.},
author = {{Ruiz Barlett}, V. and Hoyuelos, M. and Martin, H. O.},
doi = {10.1016/j.jcp.2011.01.041},
file = {:opt/publicaciones/mendeley/Ruiz Barlett, Hoyuelos, Martin - 2011 - Comparison between fixed and Gaussian steplength in Monte Carlo simulations for diffusion proces.pdf:pdf},
issn = {00219991},
journal = {Journal of Computational Physics},
keywords = {Diffusion,Monte Carlo,Simulation},
number = {10},
pages = {3719--3726},
title = {{Comparison between fixed and Gaussian steplength in Monte Carlo simulations for diffusion processes}},
volume = {230},
year = {2011}
}

@article{Pedrosa2008,
abstract = {Order parameter equations, such as the complex Swift-Hohenberg (CSH) equation, offer a simplified and universal description that hold close to an instability threshold. The universality of the description refers to the fact that the same kind of instability produces the same order parameter equation. In the case of lasers, the instability usually corresponds to the emitting threshold, and the CSH equation can be obtained from the Maxwell-Bloch (MB) equations for a class C laser with small detuning. In this paper we numerically check the validity of the CSH equation as an approximation of the MB equations, taking into account that its terms are of different asymptotic order, and that, despite of having been systematically overlooked in the literature, this fact is essential in order to correctly capture the weakly nonlinear dynamics of the MB. The approximate distance to threshold range for which the CSH equation holds is also estimated.},
archivePrefix = {arXiv},
arxivId = {0808.3395},
author = {Pedrosa, J. and Hoyuelos, M. and Martel, C.},
doi = {10.1140/epjb/e2008-00457-5},
eprint = {0808.3395},
file = {:opt/publicaciones/mendeley/Pedrosa, Hoyuelos, Martel - 2008 - Numerical validation of the complex Swift-Hohenberg equation for lasers.pdf:pdf},
issn = {14346028},
journal = {European Physical Journal B},
number = {4},
pages = {525--530},
title = {{Numerical validation of the complex Swift-Hohenberg equation for lasers}},
volume = {66},
year = {2008}
}

@article{Garcia-Mata2008a,
abstract = {We formulate and numerically simulate the single control qubit Shor algorithm for the case of static imperfections induced by residual couplings between qubits. This allows us to study the accuracy of Shor's algorithm with respect to these imperfections using numerical simulations of realistic quantum computations with up to \$n\_q=18\$ computational qubits allowing to factor numbers up to N=205193. We confirm that the algorithm remains operational up to a critical coupling strength \$\backslash epsilon\_c\$ which drops only polynomially with \$\backslash log\_2 N\$. The obtained numerical dependence of \$\backslash epsilon\_c\$ on \$\backslash log\_2 N\$ is in a good agreement with the analytical estimates that allows to obtain the scaling for functionality of Shor's algorithm on realistic quantum computers with a large number of qubits.},
archivePrefix = {arXiv},
arxivId = {0809.4416},
author = {Garc\'{\i}a-Mata, Ignacio and Frahm, Klaus M. and Shepelyansky, Dima L.},
doi = {10.1103/PhysRevA.78.062323},
eprint = {0809.4416},
file = {:opt/publicaciones/mendeley/Garc\'{\i}a-Mata, Frahm, Shepelyansky - 2008 - Shor's factorization algorithm with a single control qubit and imperfections.pdf:pdf},
issn = {10502947},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = {6},
pages = {1--8},
title = {{Shor's factorization algorithm with a single control qubit and imperfections}},
volume = {78},
year = {2008}
}

@article{LaRocca2008,
abstract = {In this paper we derive analytically the evolution equation of the interface for a model of surface growth with relaxation to the minimum (SRM) in complex networks. We were inspired by the disagreement between the scaling results of the steady state of the fluctuations between the discrete SRM model and the Edward-Wilkinson process found in scale-free networks with degree distribution P(k) approximately k(-lambda) for lambda<3 [Pastore y Piontti, Phys. Rev. E 76, 046117 (2007)]. Even though for Euclidean lattices the evolution equation is linear, we find that in complex heterogeneous networks nonlinear terms appear due to the heterogeneity and the lack of symmetry of the network; they produce a logarithmic divergency of the saturation roughness with the system size as found by Pastore y Piontti for lambda<3.},
author = {La\_Rocca, C. E. and Braunstein, L. a. and MacRi, P. a.},
doi = {10.1103/PhysRevE.77.046120},
file = {:opt/publicaciones/mendeley/La\_Rocca, Braunstein, MacRi - 2008 - Evolution equation for a model of surface relaxation in complex networks.pdf:pdf},
issn = {15393755},
journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},
number = {4},
pages = {1--5},
pmid = {18517703},
title = {{Evolution equation for a model of surface relaxation in complex networks}},
volume = {77},
year = {2008}
}

@article{Agust2014,
abstract = {In a cosmological first-order phase transition, bubbles of the stable phase nucleate and expand in the supercooled metastable phase. In many cases, the growth of bubbles reaches a stationary state, with bubble walls propagating as detonations or deflagrations. However, these hydrodynamical solutions may be unstable under corrugation of the interface. Such instability may drastically alter some of the cosmological consequences of the phase transition. Here, we study the hydrodynamical stability of deflagration fronts. We improve upon previous studies by making a more careful and detailed analysis. In particular, we take into account the fact that the equation of motion for the phase interface depends separately on the temperature and fluid velocity on each side of the wall. Fluid variables on each side of the wall are similar for weakly first-order phase transitions, but differ significantly for stronger phase transitions. As a consequence, we find that, for large enough supercooling, any subsonic wall velocity becomes unstable. Moreover, as the velocity approaches the speed of sound, perturbations become unstable on all wavelengths. For smaller supercooling and small wall velocities, our results agree with those of previous works. Essentially, perturbations on large wavelengths are unstable, unless the wall velocity is higher than a critical value. We also find a previously unobserved range of marginally unstable wavelengths. We analyze the dynamical relevance of the instabilities, and we estimate the characteristic time and length scales associated to their growth. We discuss the implications for the electroweak phase transition and its cosmological consequences.},
archivePrefix = {arXiv},
arxivId = {1311.2453},
author = {M\'{e}gevand, Ariel and Membiela, Federico Agust\'{\i}n},
doi = {10.1103/PhysRevD.89.103507},
eprint = {1311.2453},
file = {:opt/publicaciones/mendeley/M\'{e}gevand, Membiela - 2013 - Stability of cosmological deflagration fronts.pdf:pdf},
issn = {15502368},
journal = {Physical Review D - Particles, Fields, Gravitation and Cosmology},
pages = {45},
title = {{Stability of cosmological deflagration fronts}},
url = {http://arxiv.org/abs/1311.2453},
volume = {103507},
year = {2013}
}

@article{Hoyuelos1996,
author = {Hoyuelos, M. and Ma, H. O.},
doi = {10.1021/la9408432},
file = {:opt/publicaciones/mendeley/Hoyuelos, Ma - 1996 - Annihilation and Coagulation Reactions in Low-Dimensional Substrata Effects of Probability of Reaction and Short.pdf:pdf},
issn = {0743-7463},
journal = {Langmuir},
number = {1},
pages = {61--69},
title = {{Annihilation and Coagulation Reactions in Low-Dimensional Substrata : Effects of Probability of Reaction and Short Range Interactions}},
volume = {12},
year = {1996}
}

@article{PastoreYPiontti2010,
abstract = {We study the effects of the degree-degree correlations on the pressure congestion J when we apply a dynamical process on scale free complex networks using the gradient network approach. We find that the pressure congestion for disassortative (assortative) networks is lower (bigger) than the one for uncorrelated networks which allow us to affirm that disassortative networks enhance transport through them. This result agree with the fact that many real world transportation networks naturally evolve to this kind of correlation. We explain our results showing that for the disassortative case the clusters in the gradient network turn out to be as much elongated as possible, reducing the pressure congestion J and observing the opposite behavior for the assortative case. Finally we apply our model to real world networks, and the results agree with our theoretical model. ?? 2010 Elsevier B.V.},
archivePrefix = {arXiv},
arxivId = {1009.5316},
author = {{Pastore Y Piontti}, Ana L. and Braunstein, Lidia A. and Macri, Pablo A.},
doi = {10.1016/j.physleta.2010.09.050},
eprint = {1009.5316},
file = {:opt/publicaciones/mendeley/Pastore Y Piontti, Braunstein, Macri - 2010 - Jamming in complex networks with degree correlation.pdf:pdf},
issn = {03759601},
journal = {Physics Letters, Section A: General, Atomic and Solid State Physics},
keywords = {Degree correlation,Gradient networks,Pressure congestion},
number = {46},
pages = {4658--4663},
title = {{Jamming in complex networks with degree correlation}},
volume = {374},
year = {2010}
}

@article{Hernandez-Garcia1998,
author = {Hern\'{a}ndez-Garc\'{\i}a, Emilio and Amengual, Antoni and Montagne, Ra\'{u}l and {San Miguel}, Maxi and Colet, Pere and Hoyuelos, Miguel},
doi = {10.1007/s007700050087},
file = {:opt/publicaciones/mendeley/Hern\'{a}ndez-Garc\'{\i}a et al. - 1998 - Moving Pictures.pdf:pdf},
issn = {05317479},
journal = {Europhysics news},
number = {5},
pages = {184},
title = {{Moving Pictures}},
url = {http://link.springer.de/link/service/journals/00770/bibs/8029005/80290184.htm},
volume = {29},
year = {1998}
}

@article{Hoyuelos1999b,
author = {Hoyuelos, M. and Martin, H. O. and Albano, E. V.},
doi = {10.1088/0305-4470/28/18/002},
file = {:opt/publicaciones/mendeley/Hoyuelos, Martin, Albano - 1999 - Study of the steady state of a two-species annihilation process with separated reactants.pdf:pdf},
issn = {0305-4470},
journal = {Journal of Physics A: Mathematical and General},
number = {18},
pages = {L483--L489},
title = {{Study of the steady state of a two-species annihilation process with separated reactants}},
volume = {28},
year = {1999}
}

@article{Cascallares2015a,
author = {Cascallares, Guadalupe and S\'{a}nchez, Alejandro D. and Dell'Erba, Mat\'{\i}as Germ\'{a}n and Iz\'{u}s, Gonzalo G.},
doi = {10.1016/j.physa.2015.03.016},
file = {:opt/publicaciones/mendeley/Cascallares et al. - 2015 - Noise-sustained synchronization between electrically coupled FitzHugh–Nagumo networks(2).pdf:pdf},
issn = {03784371},
journal = {Physica A: Statistical Mechanics and its Applications},
pages = {356--366},
publisher = {Elsevier B.V.},
title = {{Noise-sustained synchronization between electrically coupled FitzHugh–Nagumo networks}},
url = {http://dx.doi.org/10.1016/j.physa.2015.03.016 http://linkinghub.elsevier.com/retrieve/pii/S0378437115002629},
volume = {433},
year = {2015}
}

@article{Mirabella2014,
abstract = {Surface roughening due to anisotropic wet etching of silicon was studied experimentally and modeled using the Monte Carlo method. Simulations were used to determine the consequences of site-dependent detachment probabilities on surface morphology for a one- and two-dimensional substrate models, focusing on the formation mechanisms of etch hillocks. Dynamic scaling properties of the 1D model were also studied. Resorting to the height-height correlation function and the structure factor, it is shown that the model presents conventional and anomalous scaling (faceted) depending on the stability of the hillocks tops. We also found that there is an intermediate regime that cannot be described by the Family-Vicsek or anomalous scaling ansatz. © 2013 Elsevier B.V. All rights reserved.},
author = {Mirabella, D. A. and Su\'{a}rez, G. P. and Aldao, C. M.},
doi = {10.1016/j.physa.2013.09.071},
file = {:opt/publicaciones/mendeley/Mirabella, Su\'{a}rez, Aldao - 2014 - Silicon wet etching Hillock formation mechanisms and dynamic scaling properties.pdf:pdf},
issn = {03784371},
journal = {Physica A: Statistical Mechanics and its Applications},
keywords = {Etching models,Monte Carlo simulations,Scaling},
pages = {105--111},
publisher = {Elsevier B.V.},
title = {{Silicon wet etching: Hillock formation mechanisms and dynamic scaling properties}},
url = {http://dx.doi.org/10.1016/j.physa.2013.09.071},
volume = {395},
year = {2014}
}

@article{Martin2013,
abstract = {We study pattern formation on the plane transverse to propagation direction, in a ring cavity filled with a Kerr-like medium, subject to an elliptically polarized incoming field, by means of two coupled Lugiato-Lefever equations. We consider a wide range of possible values for the coupling parameter between different polarizations, B\`{I}, as may happen in composite materials. Positive and also negative refraction index materials are considered. Examples of marginal instability diagrams are shown. It is shown that, within the model, instabilities cannot be of codimension higher than 3. A method for finding parameters for which codimension 2 or 3 takes place is given. The method allows us to choose parameters for which unstable wavenumbers fulfill different relations. Numerical integration results where different instabilities coexist and compete are shown. © 2013 Elsevier B.V. All rights reserved.},
author = {Martin, Daniel A. and Hoyuelos, M.},
doi = {10.1016/j.physd.2013.05.008},
file = {:opt/publicaciones/mendeley/Martin, Hoyuelos - 2013 - Codimension 2 and 3 situations in a ring cavity with elliptically polarized electromagnetic waves.pdf:pdf},
issn = {01672789},
journal = {Physica D: Nonlinear Phenomena},
keywords = {Elliptical polarization,Lugiato-Lefever equation,Nonlinear optics,Transverse pattern formation,Turing-Hopf codimension 2,Turing-Turing codimension 2},
pages = {37--47},
publisher = {Elsevier B.V.},
title = {{Codimension 2 and 3 situations in a ring cavity with elliptically polarized electromagnetic waves}},
url = {http://dx.doi.org/10.1016/j.physd.2013.05.008},
volume = {259},
year = {2013}
}

@article{Martin2010b,
author = {Martin, Daniel A. and Hoyuelos, M.},
doi = {10.1140/epjd/e2010-00081-0},
file = {:opt/publicaciones/mendeley/Martin, Hoyuelos - 2010 - Non-linear states of a positive or negative refraction index material in a cavity with feedback.pdf:pdf},
issn = {14346060},
journal = {European Physical Journal D},
number = {2},
pages = {257--262},
title = {{Non-linear states of a positive or negative refraction index material in a cavity with feedback}},
volume = {58},
year = {2010}
}

@article{Sanchez2001,
abstract = {Many social, biological, and economic systems can be approached by complex networks of interacting units. The behaviour of several models on small-world networks has recently been studied. These models are expected to capture the essential features of the complex processes taking place on real networks like disease spreading, formation of public opinion, distribution of wealth, etc. In many of these systems relations are directed, in the sense that links only act in one direction (outwards or inwards). We investigate the effect of directed links on the behaviour of a simple spin-like model evolving on a small-world network. We show that directed networks may lead to a highly nontrivial phase diagram including first and second-order phase transitions out of equilibrium.},
archivePrefix = {arXiv},
arxivId = {cond-mat/0110500},
author = {S\'{a}nchez, Alejandro D. and L\'{o}pez, Juan M. and Rodr\'{\i}guez, Miguel A.},
doi = {10.1103/PhysRevLett.88.048701},
eprint = {0110500},
file = {:opt/publicaciones/mendeley/S\'{a}nchez, L\'{o}pez, Rodr\'{\i}guez - 2001 - Nonequilibrium Phase Transitions in Directed Small-World Networks.pdf:pdf},
pages = {4},
primaryClass = {cond-mat},
title = {{Nonequilibrium Phase Transitions in Directed Small-World Networks}},
url = {http://arxiv.org/abs/cond-mat/0110500},
year = {2001}
}

@article{Li2013,
abstract = {Social dynamic opinion models have been widely studied to understand$\backslash$nhow interactions among individuals cause opinions to evolve. Most$\backslash$nopinion models that utilize spin interaction models usually produce$\backslash$na consensus steady state in which only one opinion exists. Because$\backslash$nin reality different opinions usually coexist, we focus on non-consensus$\backslash$nopinion models in which above a certain threshold two opinions coexist$\backslash$nin a stable relationship. We revisit and extend the non-consensus$\backslash$nopinion (NCO) model introduced by Shao et al. (Phys. Rev. Lett. 103:01870,$\backslash$n2009). The NCO model in random networks displays a second order phase$\backslash$ntransition that belongs to regular mean field percolation and is$\backslash$ncharacterized by the appearance (above a certain threshold) of a$\backslash$nlarge spanning cluster of the minority opinion. We generalize the$\backslash$nNCO model by adding a weight factor W to each individual's original$\backslash$nopinion when determining their future opinion (NCOW model). We find$\backslash$nthat as W increases the minority opinion holders tend to form stable$\backslash$nclusters with a smaller initial minority fraction than in the NCO$\backslash$nmodel. We also revisit another non-consensus opinion model based$\backslash$non the NCO model, the inflexible contrarian opinion (ICO) model (Li$\backslash$net al. in Phys. Rev. E 84:066101, 2011), which introduces inflexible$\backslash$ncontrarians to model the competition between two opinions in a steady$\backslash$nstate. Inflexible contrarians are individuals that never change their$\backslash$noriginal opinion but may influence the opinions of others. To place$\backslash$nthe inflexible contrarians in the ICO model we use two different$\backslash$nstrategies, random placement and one in which high-degree nodes are$\backslash$ntargeted. The inflexible contrarians effectively decrease the size$\backslash$nof the largest rival-opinion cluster in both strategies, but the$\backslash$neffect is more pronounced under the targeted method. All of the above$\backslash$nmodels have previously been explored in terms of a single network,$\backslash$nbut human communities are usually interconnected, not isolated. Because$\backslash$nopinions propagate not only within single networks but also between$\backslash$nnetworks, and because the rules of opinion formation within a network$\backslash$nmay differ from those between networks, we study here the opinion$\backslash$ndynamics in coupled networks. Each network represents a social group$\backslash$nor community and the interdependent links joining individuals from$\backslash$ndifferent networks may be social ties that are unusually strong,$\backslash$ne.g., married couples. We apply the non-consensus opinion (NCO) rule$\backslash$non each individual network and the global majority rule on interdependent$\backslash$npairs such that two interdependent agents with different opinions$\backslash$nwill, due to the influence of mass media, follow the majority opinion$\backslash$nof the entire population. The opinion interactions within each network$\backslash$nand the interdependent links across networks interlace periodically$\backslash$nuntil a steady state is reached. We find that the interdependent$\backslash$nlinks effectively force the system from a second order phase transition,$\backslash$nwhich is characteristic of the NCO model on a single network, to$\backslash$na hybrid phase transition, i.e., a mix of second-order and abrupt$\backslash$njump-like transitions that ultimately becomes, as we increase the$\backslash$npercentage of interdependent agents, a pure abrupt transition. We$\backslash$nconclude that for the NCO model on coupled networks, interactions$\backslash$nthrough interdependent links could push the non-consensus opinion$\backslash$nmodel to a consensus opinion model, which mimics the reality that$\backslash$nincreased mass communication causes people to hold opinions that$\backslash$nare increasingly similar. We also find that the effect of interdependent$\backslash$nlinks is more pronounced in interdependent scale free networks than$\backslash$nin interdependent ErdAs R,nyi networks.},
archivePrefix = {arXiv},
arxivId = {arXiv:1210.0862v2},
author = {Li, Qian and Braunstein, Lidia A. and Wang, Huijuan and Shao, Jia and Stanley, H. Eugene and Havlin, Shlomo},
doi = {10.1007/s10955-012-0625-4},
eprint = {arXiv:1210.0862v2},
file = {:opt/publicaciones/mendeley/Li et al. - 2013 - Non-consensus Opinion Models on Complex Networks.pdf:pdf},
issn = {00224715},
journal = {Journal of Statistical Physics},
keywords = {Complex networks,Coupled networks,Non-consensus,Opinion model,Percolation},
number = {1-2},
pages = {92--112},
title = {{Non-consensus Opinion Models on Complex Networks}},
volume = {151},
year = {2013}
}

@article{Suarez2013a,
archivePrefix = {arXiv},
arxivId = {arXiv:1310.1883v2},
author = {Su\'{a}rez, Gonzalo P. and Hoyuelos, Miguel and Martin, H\'{e}ctor O.},
doi = {10.1103/PhysRevE.88.052136},
eprint = {arXiv:1310.1883v2},
file = {:opt/publicaciones/mendeley/Su\'{a}rez, Hoyuelos, Martin - 2013 - Transport in a chain of asymmetric cavities Effects of the concentration with hard-core interaction.pdf:pdf},
issn = {15393755},
journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},
number = {5},
pages = {1--5},
title = {{Transport in a chain of asymmetric cavities: Effects of the concentration with hard-core interaction}},
volume = {88},
year = {2013}
}

@article{Mangioni2005,
abstract = {We have studied the interplay between noise and boundary conditions on the possibility of noise induced pattern formation. With this aim, we have exploited a deterministic model for pattern formation in adsorbed substances--including the effect of lateral interactions--used to describe the phenomenon of adsorption in surfaces, where a multiplicative noise fulfilling a fluctuation-dissipation relation was added. We have found solutions for different boundary conditions, particularly corresponding to two stable and one unstable patterns, where one of the stable and the unstable one, are purely induced by the multiplicative noise. In the case of albedo boundary conditions we have found a transition from monostable to a noise induced bistable behavior as the albedo parameter is varied.},
author = {Mangioni, Sergio E. and Wio, Horacio S.},
doi = {10.1103/PhysRevE.71.056203},
file = {:opt/publicaciones/mendeley/Mangioni, Wio - 2005 - Interplay between noise and boundary conditions in pattern formation in adsorbed substances.pdf:pdf},
issn = {15393755},
journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},
number = {5},
pages = {1--7},
pmid = {16089630},
title = {{Interplay between noise and boundary conditions in pattern formation in adsorbed substances}},
volume = {71},
year = {2005}
}

@article{Membiela2006,
abstract = {We explore an effective 4D cosmological model for the universe where the variable cosmological constant governs its evolution and the pressure remains negative along all the expansion. This model is introduced from a 5D vacuum state where the (space-like) extra coordinate is considered as noncompact. The expansion is produced by the inflaton field, which is considered as nonminimally coupled to gravity. We conclude from experimental data that the coupling of the inflaton with gravity should be weak, but variable in different epochs of the evolution of the universe. ?? 2006 Elsevier B.V. All rights reserved.},
archivePrefix = {arXiv},
arxivId = {gr-qc/0606119},
author = {Membiela, Federico Agust\'{\i}n and Bellini, Mauricio},
doi = {10.1016/j.physletb.2006.08.043},
eprint = {0606119},
file = {:opt/publicaciones/mendeley/Membiela, Bellini - 2006 - Quintessential inflation from a variable cosmological constant in a 5D vacuum.pdf:pdf},
issn = {03702693},
journal = {Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics},
number = {2},
pages = {125--129},
primaryClass = {gr-qc},
title = {{Quintessential inflation from a variable cosmological constant in a 5D vacuum}},
volume = {641},
year = {2006}
}

@article{Gratton1986,
author = {Gratton, Roberto and Mangioni, Sergio E. and Niedbalski, Jorge and Valent, Roberto},
doi = {10.1063/1.1139074},
file = {:opt/publicaciones/mendeley/Gratton et al. - 1986 - Simple capacitive probe for high-voltage nanosecond pulses.pdf:pdf},
issn = {00346748},
journal = {Review of Scientific Instruments},
number = {10},
pages = {2634--2635},
title = {{Simple capacitive probe for high-voltage nanosecond pulses}},
volume = {57},
year = {1986}
}

@article{Sreenivasan2004,
abstract = {We study the transition between the strong and weak disorder regimes in the scaling properties of the average optimal path l(opt) in a disordered Erdos-R\'{e}nyi (ER) random network and scale-free (SF) network. Each link i is associated with a weight tau(i) identical withexp (a r(i) ) , where r(i) is a random number taken from a uniform distribution between 0 and 1 and the parameter a controls the strength of the disorder. We find that for any finite a , there is a crossover network size N* (a) at which the transition occurs. For N</=4 , and l(opt) approximately N (lambda-3) (/ (lambda-1) ) for SF networks with 3>N* (a) the scaling behavior is in the weak disorder regime, with l(opt) approximately ln N for ER networks and SF networks with lambda>3 . In order to study the transition we propose a measure which indicates how close or far the disordered network is from the limit of strong disorder. We propose a scaling ansatz for this measure and demonstrate its validity. We proceed to derive the scaling relation between N* (a) and a . We find that N* (a) approximately a(3) for ER networks and for SF networks with lambda>/=4 , and N* (a) approximately a (lambda-1) (/ (lambda-3) ) for SF networks with 3