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Recent Monte Carlo simulations of the critical point of the restricted primitive model for ionic solutions are reported. Only the continuum version of the model is considered. A finite size scaling analysis based in the Bruce-Wilding…

Statistical Mechanics · Physics 2007-05-23 Jean-Michel Caillol

We present the results of extensive Monte Carlo simulations of Ising models with algebraically decaying ferromagnetic interactions in the regime where classical critical behavior is expected for these systems. We corroborate the values for…

Statistical Mechanics · Physics 2009-10-30 Erik Luijten , Henk W. J. Blöte

The first-order phase transition of the two-dimensional eight-state Potts model is shown to be rounded when long-range correlated disorder is coupled to energy density. Critical exponents are estimated by means of large-scale Monte Carlo…

Statistical Mechanics · Physics 2013-07-15 Christophe Chatelain

Extensive Monte Carlo simulation results of the standard two-dimensional driven diffusive systems are obtained using a multispin coding technique. The nonequilibrium phase transition is analyzed with anisotropic finite-size scaling, both at…

Condensed Matter · Physics 2007-05-23 Jian-Sheng Wang

The analysis of correlation function data obtained by Monte Carlo simulations of the two-dimensional 4-state Potts model, XY model, and self-dual disordered Ising model at criticality are presented. We study the logarithmic corrections to…

Statistical Mechanics · Physics 2009-11-10 Bertrand Berche , Lev Shchur

The Ising critical exponents $\eta$, $\nu$ and $\omega$ are determined up to one-per-thousand relative error in the whole range of dimensions $3 \le d < 4$, using numerical conformal-bootstrap techniques. A detailed comparison is made with…

High Energy Physics - Theory · Physics 2023-06-13 Claudio Bonanno , Andrea Cappelli , Mikhail Kompaniets , Satoshi Okuda , Kay Jörg Wiese

Using a novel finite size scaling Monte Carlo method, we calculate the four, six and eight point renormalized coupling constants defined at zero momentum in the symmetric phase of the three dimensional Ising system. The results of the 2D…

Statistical Mechanics · Physics 2008-11-26 Jae-Kwon Kim

Local scale invariance (LSI) has been recently proposed as a possible extension of the dynamical scaling in systems at the critical point and during phase ordering. LSI has been applied inter alia to provide predictions for the scaling…

Statistical Mechanics · Physics 2009-11-11 Michel Pleimling , Andrea Gambassi

A three dimensional string model is analyzed in the strong coupling regime. The contribution of surfaces with different topology to the partition function is essential. A set of corresponding models is discovered. Their critical indices,…

High Energy Physics - Theory · Physics 2007-05-23 A. Sedrakyan

A transfer matrix scaling technique is developed for randomly diluted systems, and applied to the site-diluted Ising model on a square lattice in two dimensions. For each allowed disorder configuration between two adjacent columns, the…

Condensed Matter · Physics 2009-10-22 S. L. A. de Queiroz , R. B. Stinchcombe

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

High Energy Physics - Lattice · Physics 2019-06-05 Heiko Rieger , A. P. Young

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

Condensed Matter · Physics 2009-10-22 Heiko Rieger , A. P. Young

In this paper we propose a Monte Carlo method for generating finite-domain marginals of critical distributions of statistical models in infinite volume. The algorithm corrects the problem of the long-range effects of boundaries associated…

Statistical Mechanics · Physics 2016-11-09 Victor Herdeiro , Benjamin Doyon

Using finite-size scaling methods we measure the thermal and magnetic exponents of the site percolation in four dimensions, obtaining a value for the anomalous dimension very different from the results found in the literature. We also…

High Energy Physics - Lattice · Physics 2009-10-28 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe , G. Parisi , J. J. Ruiz-Lorenzo

We carry out a high-precision Monte Carlo simulation of the two-dimensional $O(3)$-invariant $\sigma$-model at correlation lengths $\xi$ up to $\sim 10^5$. Our work employs a new and powerful method for extrapolating finite-volume Monte…

High Energy Physics - Lattice · Physics 2009-10-28 Sergio Caracciolo , Robert G. Edwards , Andrea Pelissetto , Alan D. Sokal

We present results of large-scale Monte Carlo simulations for a three-dimensional Ising model with short range interactions and planar defects, i.e., disorder perfectly correlated in two dimensions. We show that the phase transition in this…

Disordered Systems and Neural Networks · Physics 2009-11-10 Rastko Sknepnek , Thomas Vojta

Taking the two-dimensional Ising model for example, short-time behavior of critical dynamics with a conserved order parameter is investigated by Monte Carlo simulations. Scaling behavior is observed, but the dynamic exponent $z$ is updating…

Statistical Mechanics · Physics 2009-11-07 B. Zheng

The majority-voter model is studied by Monte Carlo simulations on hypercubic lattices of dimension $d=2$ to 7 with periodic boundary conditions. The critical exponents associated to the Finite-Size Scaling of the magnetic susceptibility are…

Statistical Mechanics · Physics 2023-07-26 Christophe Chatelain

The critical relaxation from the low-temperature ordered state of the three-dimensional fully frustrated Ising model on a simple cubic lattice has been studied using the short time dynamics method. Particles with the periodic boundary…

Statistical Mechanics · Physics 2016-11-10 V. A. Mutailamov , A. K. Murtazaev

The interface tension in the three-dimensional Ising model in the low temperature phase is investigated by means of the Monte Carlo method. Together with other physically relevant quantities it is obtained from a calculation of time-slice…

High Energy Physics - Lattice · Physics 2010-12-23 Sabine Klessinger , Gernot Muenster
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