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Related papers: Universality class of 3D site-diluted and bond-dil…

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We study the critical behavior of the $d=3$ Ising model with bond randomness through extensive Monte Carlo simulations and finite-size scaling techniques. Our results indicate that the critical behavior of the random-bond model is governed…

Statistical Mechanics · Physics 2010-12-07 Nikolaos G. Fytas , Panagiotis E. Theodorakis

We propose a method to obtain an improved Hamiltonian (action) for the Ising universality class in three dimensions. The improved Hamiltonian has suppressed leading corrections to scaling. It is obtained by tuning models with two coupling…

High Energy Physics - Lattice · Physics 2009-10-31 M. Hasenbusch , K. Pinn , S. Vinti

We study the site-diluted Ising model in two dimensions with Monte Carlo simulations. Using finite-size scaling techniques we compute the critical exponents observing deviations from the pure Ising ones. The differences can be explained as…

Disordered Systems and Neural Networks · Physics 2009-10-30 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe , G. Parisi , J. J. Ruiz-Lorenzo

We study the phase diagram of the site-diluted Ising model in a wide dilution range, through Monte Carlo simulations and Finite-Size Scaling techniques. Our results for the critical exponents and universal cumulants turn out to be…

Disordered Systems and Neural Networks · Physics 2008-12-18 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe , G. Parisi , J. J. Ruiz-Lorenzo

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional weakly site-diluted Ising model with spin concentrations $p=0.95$ and 0.8 at criticality. In contrast to studies of the critical behavior of the…

Disordered Systems and Neural Networks · Physics 2010-05-31 Pavel V. Prudnikov , Vladimir V. Prudnikov , Aleksandr S. Krinitsyn , Andrei N. Vakilov , Evgenii A. Pospelov

We perform high-statistics Monte Carlo simulations of three-dimensional Ising spin-glass models on cubic lattices of size L: the +- J (Edwards-Anderson) Ising model for two values of the disorder parameter p, p=0.5 and p=0.7 (up to L=28 and…

Disordered Systems and Neural Networks · Physics 2009-11-13 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

We perform high-statistics Monte Carlo simulations of three three-dimensional Ising spin-glass models: the +-J Ising model for two values of the disorder parameter p, p=1/2 and p=0.7, and the bond-diluted +-J model for bond-occupation…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. Hasenbusch , A. Pelissetto , E. Vicari

Using finite-size scaling techniques, we study the critical properties of the site-diluted Ising model in four dimensions. We carry out a high statistics Monte Carlo simulation for several values of the dilution. The results support the…

High Energy Physics - Lattice · Physics 2009-10-30 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe , G. Parisi , J. J. Ruiz-Lorenzo

We study the three-dimensional (3D) bond-diluted Edwards-Anderson (EA) model with binary interactions at a bond occupation of 45% by Monte Carlo (MC) simulations. Using an efficient cluster MC algorithm we are able to determine the…

Disordered Systems and Neural Networks · Physics 2007-07-04 Thomas Jorg

We solve a long-standing puzzle in Statistical Mechanics of disordered systems. By performing a high-statistics simulation of the D=3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we…

Disordered Systems and Neural Networks · Physics 2013-05-31 Nikolaos G. Fytas , Victor Martin-Mayor

We investigate three Ising models on the simple cubic lattice by means of Monte Carlo methods and finite-size scaling. These models are the spin-1/2 Ising model with nearest-neighbor interactions, a spin-1/2 model with nearest-neighbor and…

Condensed Matter · Physics 2009-10-28 Henk W. J. Blöte , Erik Luijten , Jouke R. Heringa

The critical behavior of the disordered ferromagnetic Ising model is studied numerically by the Monte Carlo method in a wide range of variation of concentration of nonmagnetic impurity atoms. The temperature dependences of correlation…

Disordered Systems and Neural Networks · Physics 2007-09-11 V. Prudnikov , P. Prudnikov , A. Vakilov , A. Krinitsyn

We study by Monte Carlo simulations the influence of bond dilution on the three-dimensional Ising model. This paradigmatic model in its pure version displays a second-order phase transition with a positive specific heat critical exponent…

Disordered Systems and Neural Networks · Physics 2009-11-10 Pierre-Emmanuel Berche , Christophe Chatelain , Bertrand Berche , Wolfhard Janke

Finite-size scaling above the upper critical dimension is a long-standing puzzle in the field of Statistical Physics. Even for pure systems various scaling theories have been suggested, partially corroborated by numerical simulations. In…

Statistical Mechanics · Physics 2023-10-30 Nikolaos G. Fytas , Victor Martin-Mayor , Giorgio Parisi , Marco Picco , Nicolas Sourlas

We study the four dimensional site-diluted Ising model using finite-size scaling techniques. We explore the whole parameter space (density-coupling) in order to determine the Universality Class of the transition line. Our data are…

High Energy Physics - Lattice · Physics 2009-10-30 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe , G. Parisi , J. J. Ruiz-Lorenzo

We perform a high-statistics simulation of the three-dimensional randomly dilute Ising model on cubic lattices $L^3$ with $L\le 256$. We choose a particular value of the density, x=0.8, for which the leading scaling corrections are…

Statistical Mechanics · Physics 2009-11-10 P. Calabrese , V. Martin-Mayor , A. Pelissetto , E. Vicari

We introduce a universal combination of susceptibility and correlation length in the 3D Ising model, depending both on temperature and external magnetic field. Starting from a parametric representation of the equation of state, we study its…

High Energy Physics - Lattice · Physics 2021-11-29 Michele Caselle , Marianna Sorba

We study two different versions of the site-diluted Ising model in three dimensions with long-range spatially correlated disorder by Monte Carlo means. We use finite-size scaling techniques to compute the critical exponents of these…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. G. Ballesteros , G. Parisi

Reassessment of the critical temperature and density of the restricted primitive model of an ionic fluid by Monte Carlo simulations performed for system sizes with linear dimension up to $L/\sigma=34$ and sampling of $\sim 10^9$ trial moves…

Statistical Mechanics · Physics 2009-11-07 J. -M. Caillol , D. Levesque , J. -J. Weis

We study the purely relaxational dynamics (model A) at criticality in three-dimensional disordered Ising systems whose static critical behaviour belongs to the randomly diluted Ising universality class. We consider the site-diluted and…

Disordered Systems and Neural Networks · Physics 2009-11-13 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari
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