100 citations · 657 across the 24 of their papers we have counts for
18 papers · 1 filter
Magnetic exponents of two-dimensional Ising spin glasses
F. Liers, O. C. Martin
The magnetic critical properties of two-dimensional Ising spin glasses are controversial. Using exact ground state determination, we extract the properties of clusters flipped when…
Temperature Chaos in Two-Dimensional Ising Spin Glasses with Binary Couplings: a Further Case for Universality
Jovanka Lukic, Enzo Marinari, Olivier C. Martin +1
We study temperature chaos in a two-dimensional Ising spin glass with random quenched bimodal couplings, by an exact computation of the partition functions on large systems. We stu…
Finite size scaling in Villain's fully frustrated model and singular effects of plaquette disorder
J. Lukic, E. Marinari, O. C. Martin
The ground state and low T behavior of two-dimensional spin systems with discrete binary couplings are subtle but can be analyzed using exact computations of finite volume partitio…
Probing spin glasses with heuristic optimization algorithms
Olivier C. Martin
A sketch of the chapter appearing under the same heading in the book ``New Optimization Algorithms in Physics'' (A.K. Hartmann and H. Rieger, Eds.) is given. After a general introd…
Spatial correlation functions in 3-d Ising spin glasses
Cirano De Dominicis, Irene Giardina, Enzo Marinari +2
We investigate spin-spin correlation functions in the low temperature phase of spin-glasses. Using the replica field theory formalism, we examine in detail their infrared (long dis…
Rejuvenation and Memory in Migdal-Kadanoff Spin Glasses
M. Sasaki, O. C. Martin
We study aging phenomena of Migdal-Kadanoff spin glasses in order to clarify relevancy of temperature chaos to rejuvenation and memory. By exploiting renormalization, we do efficie…
Critical thermodynamics of the two-dimensional +/-J Ising spin glass
J. Lukic, A. Galluccio, E. Marinari +2
We compute the exact partition function of 2d Ising spin glasses with binary couplings. In these systems, the ground state is highly degenerate and is separated from the first exci…
Large deviations in spin-glass ground-state energies
A. Andreanov, F. Barbieri, O. C. Martin
The ground-state energy E_0 of a spin glass is an example of an extreme statistic. We consider the large deviations of this energy for a variety of models when the number of spins…
Scalings of domain wall energies in two dimensional Ising spin glasses
Carlo Amoruso, Enzo Marinari, Olivier C Martin +1
We study domain wall energies of two dimensional spin glasses. The scaling of these energies depends on the model's distribution of quenched random couplings, falling into three di…
Temperature Chaos, Rejuvenation and Memory in Migdal-Kadanoff Spin Glasses
M. Sasaki, O. C. Martin
We use simulations within the Migdal-Kadanoff real space renormalization approach to probe the scales relevant for rejuvenation and memory in spin glasses. One of the central quest…
Energy exponents and corrections to scaling in Ising spin glasses
J. -P. Bouchaud, F. Krzakala, O. C. Martin
We study the probability distribution P(E) of the ground state energy E in various Ising spin glasses. In most models, P(E) seems to become Gaussian with a variance growing as the…
Absence of an equilibrium ferromagnetic spin glass phase in three dimensions
F. Krzakala, O. C. Martin
Using ground state computations, we study the transition from a spin glass to a ferromagnet in 3-d spin glasses when changing the mean value of the spin-spin interaction. We find g…
Chaotic temperature dependence in a model of spin glasses
F. Krzakala, O. C. Martin
We address the problem of chaotic temperature dependence in disordered glassy systems at equilibrium by following states of a random-energy random-entropy model in temperature; of…
Zero-temperature responses of a 3D spin glass in a field
F. Krzakala, J. Houdayer, E. Marinari +2
We probe the energy landscape of the 3D Edwards-Anderson spin glass in a magnetic field to test for a spin glass ordering. We find that the spin glass susceptibility is anomalously…
Reply to Comment on "Ising Spin Glasses in a Magnetic Field"
J. Houdayer, O. C. Martin
The problem of the survival of a spin glass phase in the presence of a field has been a challenging one for a long time. To date, all attempts using equilibrium Monte Carlo methods…
Comparing Mean Field and Euclidean Matching Problems
J. Houdayer, J. H. Boutet de Monvel, O. C. Martin
Combinatorial optimization is a fertile testing ground for statistical physics methods developed in the context of disordered systems, allowing one to confront theoretical mean fie…
The stochastic traveling salesman problem: Finite size scaling and the cavity prediction
A. G. Percus, O. C. Martin
We study the random link traveling salesman problem, where lengths l_ij between city i and city j are taken to be independent, identically distributed random variables. We discuss…
Mean field and corrections for the Euclidean Minimum Matching problem
Jacques Boutet de Monvel, Olivier C. Martin
Consider the length of the minimum matching of N points in d-dimensional Euclidean space. Using numerical simulations and the finite size scaling law $< L_{MM}^E > = β_{…