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We report a high-precision finite-size scaling study of the critical behavior of the three-dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized lattices up to L=40 using the Janus dedicated computer. Our…

We employ Monte Carlo simulations to study the non-equilibrium relaxation of driven Ising lattice gases in two dimensions. Whereas the temporal scaling of the density auto-correlation function in the non-equilibrium steady state does not…

统计力学 · 物理学 2012-03-14 George L. Daquila , Uwe C. Tauber

We study the critical behavior of a generalized icosahedral model on the simple cubic lattice. The field variable of the icosahedral model might take one of twelve vectors of unit length, which are given by the normalized vertices of the…

统计力学 · 物理学 2020-07-13 Martin Hasenbusch

The critical phenomenon of the zero temperature superfluid--Bose-glass phase transition for hard-core bosons on a three-dimensional disordered lattice is studied using a quantum real-space renormalization-group method. The…

凝聚态物理 · 物理学 2009-10-22 Lizeng Zhang , Xiao-Qian Wang

The critical behavior of the Ising model on a fractal lattice, which has the Hausdorff dimension $\log_{4} 12 \approx 1.792$, is investigated using a modified higher-order tensor renormalization group algorithm supplemented with automatic…

统计力学 · 物理学 2023-03-22 Jozef Genzor

Three-dimensional $Z(N)$ lattice gauge theories at zero temperature are studied for various values of $N$. Using a modified phenomenological renormalization group, we explore the critical behavior of the generalized $Z(N)$ model for…

高能物理 - 格点 · 物理学 2015-06-17 O. Borisenko , V. Chelnokov , G. Cortese , M. Gravina , A. Papa , I. Surzhikov

We study a variation of the dynamic universality class of model H in a spatial dimension of $d=4-\epsilon$, by frustrating charge diffusion and momentum density fluctuations along $d_T=1$ or $d_T=2$ dimensions, while keeping the same…

高能物理 - 唯象学 · 物理学 2018-01-17 Ho-Ung Yee

Gas-liquid criticality in ionic fluids is studied in exactly soluble spherical models that use interlaced sublattices to represent hard-core \textit{multi}component systems. Short range attractions in the uncharged fluid drive criticality…

统计力学 · 物理学 2009-11-10 Jean-Noel Aqua , Michael E. Fisher

We investigate as a member of the Ising universality class the Next-Nearest Neighbour Ising model without external field on a simple cubic lattice by using the Monte Carlo Metropolis Algorithm. The Binder cumulant and the susceptibility…

统计力学 · 物理学 2007-05-23 Melanie Schulte , Caroline Drope

We consider, in any dimension, the constrained lattice gas introduced by Rossi et al., which is an exclusion process on a d-dimensional lattice following the additional constraint that only particles with at least one occupied neighbour can…

数学物理 · 物理学 2025-11-12 Clément Erignoux , Assaf Shapira , Marielle Simon

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…

高能物理 - 格点 · 物理学 2021-11-29 Michele Caselle , Marianna Sorba

Aiming at the study of critical phenomena in the presence of boundaries with a non-trivial shape we discuss how lattices with an adaptive lattice spacing can be implemented. Since the parameters of the Hamiltonian transform non-trivially…

统计力学 · 物理学 2015-03-25 Martin Hasenbusch

We report the conjectures on the three-dimensional (3D) Ising model on simple orthorhombic lattices, together with the details of calculations for a putative exact solution. Two conjectures, an additional rotation in the fourth curled-up…

统计力学 · 物理学 2007-10-31 Zhi-dong Zhang

We investigate the collective behavior of an Ising lattice gas, driven to non-equilibrium steady states by being coupled to {\em two} thermal baths. Monte Carlo methods are applied to a two-dimensional system in which one of the baths is…

统计力学 · 物理学 2009-10-31 E. L. Praestgaard , B. Schmittmann , R. K. P. Zia

We show that ideal Bose-Einstein condensation (BEC) in $d = 3$ dimensions is a non-classical critical second order phase transition with exponents $\alpha = -1$, $\beta = 1$, $\gamma = 1$, $\delta = 2$, $\eta = 1$ and $\nu = 1$, obeying all…

量子气体 · 物理学 2020-01-29 I. Reyes-Ayala , F. J. Poveda-Cuevas , V. Romero-Rochin

Histogram analysis of Monte-Carlo simulation results of the Ising antiferromagnet on a stacked triangular lattice are reported. Finite-size scaling estimates for critical exponents suggest $XY$ universality. This result supports earlier…

凝聚态物理 · 物理学 2007-05-23 M. L. Plumer , A. Mailhot

In this paper we investigate the nature of the singularity of the Ising model of the 4-dimensional cubic lattice. It is rigorously known that the specific heat has critical exponent $\alpha=0$ but a non-rigorous field-theory argument…

统计力学 · 物理学 2012-02-15 P. H. Lundow , K. Markström

Extending the Swendsen-Wang cluster algorithm to include both bulk (H) and surface fields (H_1) in L x L x D Ising films of thickness D and two free L x L surfaces, a Monte Carlo study of the capillary condensation critical point of the…

统计力学 · 物理学 2009-11-07 Oliver Dillmann , Wolfhard Janke , Marcus Mueller , Kurt Binder

In 2002 Biskup et al. [Europhys. Lett. 60, 21 (2002)] sketched a rigorous proof for the behavior of the 2D Ising lattice gas, at a finite volume and a fixed excess \delta M of particles (spins) above the ambient gas density (spontaneous…

统计力学 · 物理学 2009-07-20 Andreas Nußbaumer , Elmar Bittner , Wolfhard Janke

We study the behaviour of a universal combination of susceptibility and correlation length in the Ising model in two and three dimensions, in presence of both magnetic and thermal perturbations, in the neighbourhood of the critical point.…

高能物理 - 格点 · 物理学 2020-07-13 Michele Caselle , Marianna Sorba