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The majority-vote model with noise was studied on the eleven Archimedean lattices by the Monte-Carlo method and the finite-size scaling. The critical noises and the critical exponents were obtained with unprecedented precision. Contrary to…

Statistical Mechanics · Physics 2017-01-26 Unjong Yu

We study the thermodynamic properties of the three-dimensional Blume-Capel model on the simple cubic lattice by means of computer simulations. In particular, we implement a parallelized variant of the multicanonical approach and perform…

Statistical Mechanics · Physics 2015-03-19 Johannes Zierenberg , Nikolaos G. Fytas , Wolfhard Janke

We perform short-time Monte Carlo simulations to study the criticality of the isotropic two-state majority-vote model on cubic lattices of volume $N = L^3$, with $L$ up to $2048$. We obtain the precise location of the critical point by…

Statistical Mechanics · Physics 2021-05-05 K. P. do Nascimento , L. C. de Souza , André L. M. Vilela , H. Eugene Stanley , A. J. F. de Souza

To investigate order-order interfaces, we perform multimagnetical Monte Carlo simulations of the $2D$ and $3D$ Ising model. Stringent tests of the numerical methods are performed by reproducing with high precision exact $2D$ results. In the…

High Energy Physics - Lattice · Physics 2015-06-25 U. Hansmann , B. A. Berg , T. Neuhaus

The scaling of the conductivity at the superfluid-insulator quantum phase transition in two dimensions is studied by numerical simulations of the Bose-Hubbard model. In contrast to previous studies, we focus on properties of this model in…

Other Condensed Matter · Physics 2009-11-11 Jurij Smakov , Erik Sorensen

We investigated the Ising model on a square lattice with ferro and antiferromagnetic interactions modulated by the quasiperiodic Octonacci sequence in both directions of the lattice. We have applied the Replica Exchange Monte Carlo…

Statistical Mechanics · Physics 2018-01-17 G. A. Alves , M. S. Vasconcelos , T. F. A. Alves

The Gr\"uneisen ratio, defined as $\Gamma_g \equiv (1/T) (\partial T/\partial g)_S$, serves as a highly sensitive probe for detecting quantum critical points (QCPs) driven by an external feild $g$ and for characterizing the magnetocaloric…

Strongly Correlated Electrons · Physics 2025-09-23 Xuan Zhou , Enze Lv , Wei Li , Yang Qi

Grand canonical simulations designed to resolve critical universality classes are reported for $z$:1 hard-core electrolyte models with diameter ratios $\lambda {=} a_+/a_- {\lesssim} 6$. For $z {=} 1$ Ising-type behavior prevails. Unbiased…

Soft Condensed Matter · Physics 2016-08-31 Young C. Kim , Michael E. Fisher , A. Z. Panagiotouplos

The universal amplitude ratio $R_{\xi}$ for the ($q\leqslant 4$)-state Potts model in two dimensions is determined by using results for the dilute A model in regime 1. The nature of the relationship between the Potts model and the dilute A…

High Energy Physics - Theory · Physics 2015-06-26 Katherine A. Seaton

Monte Carlo simulations are used to investigate the tricritical point properties of a 2d spin fluid. Measurements of the scaling operator distributions are employed in conjunction with a finite-size scaling analysis to locate the…

Condensed Matter · Physics 2009-10-28 N. B. Wilding , P. Nielaba

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

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 improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class. We find alpha=-0.0146(8), gamma=1.3177(5), nu=0.67155(27), eta=0.0380(4), beta=0.3485(2), and delta=4.780(2). We observe a…

Statistical Mechanics · Physics 2008-11-26 Massimo Campostrini , Martin Hasenbusch , Andrea Pelissetto , Paolo Rossi , Ettore Vicari

Monte Carlo simulations using entropic sampling to estimate the number of configurations of a given energy are a valuable alternative to traditional methods. We introduce {\it tomographic} entropic sampling, a scheme which uses multiple…

Statistical Mechanics · Physics 2015-05-28 Ronald Dickman , A. G. Cunha-Netto

Universal scaling laws only apply asymptotically near critical phase transitions. We propose a general scheme, based on normal form theory of renormalization group flows, for incorporating corrections to scaling that quantitatively describe…

Statistical Mechanics · Physics 2024-08-06 David Hathcock , James P. Sethna

The exact perturbation approach is used to derive the (seven) elementary correlation lengths and related mass gaps of the two-dimensional dilute A$_4$ lattice model in regime 2- from the Bethe ansatz solution. This model provides a…

Mathematical Physics · Physics 2015-06-26 K. A. Seaton , M. T. Batchelor

We use a non-equilibrium simulation method to study the spin glass transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity $v$ (temperature change versus time) in Monte Carlo…

Disordered Systems and Neural Networks · Physics 2015-08-26 C. -W. Liu , A. Polkovnikov , A. W. Sandvik , A. P. Young

We study the (analytic) finite-size corrections in the Ising model on the strip with fixed ($+ -$) boundary conditions. We find that subdominant finite-size corrections to scaling should be to the form $a_k/N^{2k-1}$ for the free energy…

Statistical Mechanics · Physics 2015-05-30 N. Sh. Izmailian

Using a cluster-flipping Monte Carlo algorithm combined with a generalization of the histogram reweighting scheme of Ferrenberg and Swendsen, we have studied the equilibrium properties of the thermal random-field Ising model on a cubic…

Condensed Matter · Physics 2009-10-28 M. E. J. Newman , G. T. Barkema

The amplitude of density perturbations, for the currently-favoured LambdaCDM cosmology, is constrained using the observed properties of galaxy clusters. The catalogue used is that of Ikebe et al. (2002). The cluster temperature to mass…

Astrophysics · Physics 2009-11-07 Pedro T P Viana , Scott T Kay , Andrew R Liddle , Orrarujee Muanwong , Peter A Thomas
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