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Clusters in the three-dimensional Ising model rigorously obey reducibility and thermal scaling up to the critical temperature. The barriers extracted from Arrhenius plots depend on the cluster size as $B \propto A^{\sigma}$ where $\sigma$…

核理论 · 物理学 2013-05-29 C. M. Mader , A. Chappars , J. B. Elliott , L. G. Moretto , L. Phair , G. J. Wozniak

Using combinatorial optimisation techniques we study the critical properties of the two- and the three-dimensional Ising model with uniformly distributed random antiferromagnetic couplings $(1 \le J_i \le 2)$ in the presence of a…

无序系统与神经网络 · 物理学 2022-06-08 Jean-Christian Anglès d'Auriac , Ferenc Iglói

The entanglement entropy in one dimensional critical systems with boundaries has been associated with the noninteger ground state degeneracy. This quantity, being a characteristic of boundary fixed points, decreases under renormalization…

统计力学 · 物理学 2017-08-30 Eyal Cornfeld , Eran Sela

Previously, it has been shown that the direct correlation function for a Lennard-Jones fluid could be modeled by a sum of that for hard-spheres, a mean-field tail and a simple linear correction in the core region constructed so as to…

统计力学 · 物理学 2008-08-20 James F. Lutsko

Using transfer-matrix extended phenomenological renormalization-group methods the critical properties of spin-1/2 Ising model on a simple-cubic lattice with partly anisotropic coupling strengths ${\vec J}=(J',J',J)$ are studied.…

统计力学 · 物理学 2009-11-10 M. A. Yurishchev

Exact mechanisms of thermal conductivity in liquids are not well understood, despite rich research history. A vibrational model of energy transfer in dense simple liquids with soft pairwise interactions seems adequate to partially fill this…

软凝聚态物质 · 物理学 2024-02-06 S. A. Khrapak , A. G. Khrapak

A freezing density scaling of transport properties of the Lennard-Jones fluid is rationalized in terms of the Rosenfeld's excess entropy scaling and isomorph theory of Roskilde-simple systems. Then, it is demonstrated that the freezing…

统计力学 · 物理学 2022-07-06 S. Khrapak , A. Khrapak

The relation between liquid-liquid phase transitions and waterlike density anomalies in core-softened potentials of fluids was investigated in an exactly solvable one dimensional lattice model and a in a three dimensional fluid with…

软凝聚态物质 · 物理学 2015-03-11 Marco Aurélio A. Barbosa , Evy Salcedo , Marcia Barbosa

In this work a novel method to evaluate the liquid-vapor critical temperature using a generalization of the Microcanonical-ensemble computer simulation method (MCE) is presented. The isotherms of the chemical potential versus densities are…

统计力学 · 物理学 2020-06-26 Francisco Sastre

We study fluctuations of particle number in the presence of critical point by utilizing molecular dynamics simulations of the classical Lennard-Jones fluid in a periodic box. The numerical solution of the $N$-body problem naturally…

高能物理 - 唯象学 · 物理学 2022-04-27 Volodymyr A. Kuznietsov , Oleh Savchuk , Mark I. Gorenstein , Volker Koch , Volodymyr Vovchenko

We calculate the two-point correlation function and magnetic susceptibility in the anisotropic 2D Ising model on a lattice with one infinite and the other finite dimension, along which periodic boundary conditions are imposed. Using exact…

可精确求解与可积系统 · 物理学 2011-11-10 A. I. Bugrij , O. Lisovyy

The equations for the spontaneous magnetization for different three-dimensional lattices have been derived in a heuristic manner. The estimated critical temperatures for simple cubic, face-centered cubic, body-centered cubic and diamond…

统计力学 · 物理学 2024-06-14 M V Vismaya , M V Sangaranarayanan

We establish the incompressible limit of weakly asymmetric simple exclusion processes coupled through particle collisions. The incompressible limit depends on various parameters in the particle system and is linked to fluid dynamics…

概率论 · 数学 2024-11-13 Patrick van Meurs , Kenkichi Tsunoda , Lu Xu

A diagrammatic kinetic theory of density fluctuations in simple dense liquids at long times, described in the preceding paper, is applied to a high density Lennard-Jones liquid to calculate various equilibrium time correlation functions.…

统计力学 · 物理学 2015-06-18 Kevin R. Pilkiewicz , Hans C. Andersen

Generative models based on invertible transformations provide a physics-aware route to sample equilibrium configurations directly from the Boltzmann distribution, enabling efficient exploration of complex thermodynamic landscapes. Here, we…

统计力学 · 物理学 2026-03-06 Luigi de Santis , John Russo , Andrea Ninarello

We consider the critical properties of points of continuous glass transition as one can find in liquids in presence of constraints or in liquids in porous media. Through a one loop analysis we show that the critical Replica Field Theory…

统计力学 · 物理学 2015-03-20 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi

When a fluid is confined to a nanopore, its thermodynamic properties differ from the properties of a bulk fluid, so measuring such properties of the confined fluid can provide information about the pore sizes. Here we report a simple…

In a recent article, we showed how the properties of the density-density correlation function and its integral, the local structure factor, in the fluid interfacial region, in systems with short-ranged forces, can be understood…

软凝聚态物质 · 物理学 2019-11-20 Andrew O. Parry , Carlos Rascón

I derive a formulation of the 2-dimensional critical Ising model on non-uniform simplicial lattices. Surprisingly, the derivation leads to a set of geometric constraints that a lattice must satisfy in order for the model to have a…

高能物理 - 理论 · 物理学 2023-09-06 Evan Owen

We develop a mathematical theory for a class of compressible viscoelastic rate-type fluids with stress diffusion. Our approach is based on the concepts used in the nowadays standard theory of compressible Newtonian fluids as…

偏微分方程分析 · 数学 2020-01-08 Miroslav Bulíček , Eduard Feireisl , Josef Málek