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We study a highly supercooled two-dimensional fluid mixture via molecular dynamics simulation. We follow bond breakage events among particle pairs, which occur on the scale of the $\alpha$ relaxation time $\tau_{\alpha}$. Large scale…

Soft Condensed Matter · Physics 2015-06-25 Ryoichi Yamamoto , Akira Onuki

The roughening phase diagram of the d=3 Ising model with uniaxially anisotropic interactions is calculated for the entire range of anisotropy, from decoupled planes to the isotropic model to the solid-on-solid model, using hard-spin…

Statistical Mechanics · Physics 2011-12-06 Tolga Çağlar , A. Nihat Berker

We consider two-dimensional ($d=2$) systems with short-ranged microscopic interactions, where interface unbinding (wetting) transitions occur in the limit of vanishing temperature $T$. For $T=0$ the transition is characterized by…

Statistical Mechanics · Physics 2015-06-23 Pawel Jakubczyk , Marek Napiórkowski , Federico Benitez

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 enlighten some critical aspects of the three-dimensional ($d=3$) random-field Ising model from simulations performed at zero temperature. We consider two different, in terms of the field distribution, versions of model, namely a Gaussian…

Disordered Systems and Neural Networks · Physics 2015-01-13 P. E. Theodorakis , N. G. Fytas

We study the dependence of the surface tension of a fluid interface on the density profile of a third suspended phase. By means of an approximated model for the binary mixture and of a perturbative approach we derive close formulas for the…

Statistical Mechanics · Physics 2021-02-03 Alessio Squarcini , Paolo Malgaretti

Fluid three-phase equilibria, with phases $\alpha, \beta, \gamma$, are studied close to a tricritical point, analytically and numerically, in a mean-field density-functional theory with two densities. Employing Griffiths' scaling for the…

Statistical Mechanics · Physics 2025-10-30 Joseph O. Indekeu , Kenichiro Koga

The Ising model in small-world networks generated from two- and three-dimensional regular lattices has been studied. Monte Carlo simulations were carried out to characterize the ferromagnetic transition appearing in these systems. In the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Carlos P. Herrero

I show that non-equilibrium two-dimensional interfaces between three dimensional phase separated fluids exhibit a peculiar "sub-logarithmic" roughness. Specifically, an interface of lateral extent $L$ will fluctuate vertically (i.e., normal…

Soft Condensed Matter · Physics 2023-04-26 John Toner

The effect of edge on wetting and layering transitions of a three-dimensional spin-1/2 Ising model is investigated, in the presence of longitudinal and surface magnetic fields, using mean field (MF) theory and Monte Carlo (MC) simulations.…

Soft Condensed Matter · Physics 2009-11-07 L. Bahmad , A. Benyoussef , H. Ez-Zahraouy

We compute the 2n-point renormalized coupling constants in the symmetric phase of the 3d Ising model on the sc lattice in terms of the high temperature expansions O(beta^{17}) of the Fourier transformed 2n-point connected correlation…

High Energy Physics - Lattice · Physics 2009-10-30 P. Butera , M. Comi

We consider zero-temperature, stochastic Ising models with nearest-neighbor interactions in two and three dimensions. Using both symmetric and asymmetric initial configurations, we study the evolution of the system with time. We examine the…

Statistical Mechanics · Physics 2009-11-10 Palani Sundaramurthy , D. L. Stein

Within a semi--infinite thre--dimensional lattice gas model describing the coexistence of two phases on a substrate, we study, by cluster expansion techniques, the free energy (line tension) associated with the contact line between the two…

Statistical Mechanics · Physics 2016-08-16 Daniel Gandolfo , Lahoussine Laanait , Salvador Miracle-Solé , Jean Ruiz

We investigate the nonequilibrium dynamics following a quench to zero temperature of the non-conserved Ising model with power-law decaying long-range interactions $\propto 1/r^{d+\sigma}$ in $d=2$ spatial dimensions. The zero-temperature…

Statistical Mechanics · Physics 2021-05-26 Henrik Christiansen , Suman Majumder , Wolfhard Janke

We investigate the aging properties of phase-separation kinetics following quenches from $T=\infty$ to a finite temperature below $T_c$ of the paradigmatic two-dimensional conserved Ising model with power-law decaying long-range…

Statistical Mechanics · Physics 2025-12-10 Fabio Müller , Henrik Christiansen , Wolfhard Janke

As a generic example for crystals where the crystal-fluid interface tension depends on the orientation of the interface relative to the crystal lattice axes, the nearest neighbor Ising model on the simple cubic lattice is studied over a…

Computational Physics · Physics 2015-06-23 Benjamin J. Block , Suam Kim , Peter Virnau , Kurt Binder

We study phase ordering dynamics in the three-dimensional nearest-neighbor Ising model, following rapid quenches from infinite to zero temperature. Results on various aspects, viz., domain growth, persistence, aging and pattern, have been…

Statistical Mechanics · Physics 2017-04-26 Subir K. Das , Saikat Chakraborty

We study the effect of a one-dimensional driving field on the interface between two coexisting phases in a two dimensional model. This is done by considering an Ising model on a cylinder with Glauber dynamics in all sites and additional…

Statistical Mechanics · Physics 2015-11-06 Or Cohen , David Mukamel

We study the zero-temperature criticality of the Ising model on two-dimensional dynamical triangulations to contemplate its physics. As it turns out, an inhomogeneous nature of the system yields an interesting phase diagram and the physics…

High Energy Physics - Theory · Physics 2025-07-22 Jan Ambjørn , Yuki Sato , Tomo Tanaka

The paper addresses a two-temperature model for simulating compressible two-phase flow taking into account diffusion processes related to the heat conduction and viscosity of the phases. This model is reduced from the two-phase…

Numerical Analysis · Mathematics 2022-07-27 Chao Zhang , Igor Menshov , Lifeng Wang , Zhijun Shen
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