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We review understanding of kinetics of fluid phase separation in various space dimensions. Morphological differences, percolating or disconnected, based on overall composition in a binary liquid or density in a vapor-liquid system, have…

Statistical Mechanics · Physics 2020-06-05 Subir K. Das , Sutapa Roy , Jiarul Midya

We study the early time dynamics of the 2d ferromagnetic Ising model instantaneously quenched from the disordered to the ordered, low temperature, phase. We evolve the system with kinetic Monte Carlo rules that do not conserve the order…

Statistical Mechanics · Physics 2018-02-07 Thibault Blanchard , Leticia F. Cugliandolo , Marco Picco , Alessandro Tartaglia

One key aspect of coarsening following a quench below the critical temperature is domain growth. For the non-conserved Ising model a power-law growth of domains of like spins with exponent $\alpha = 1/2$ is predicted. Including recent work,…

Statistical Mechanics · Physics 2023-08-29 Denis Gessert , Henrik Christiansen , Wolfhard Janke

We investigate finite-size effects on diffusion in confined fluids using molecular dynamics simulations and hydrodynamic calculations. Specifically, we consider a Lennard-Jones fluid in slit pores without slip at the interface and show that…

Computational Physics · Physics 2017-03-16 Pauline Simonnin , Benoit Noetinger , Carlos Nieto-Draghi , Virginie Marry , Benjamin Rotenberg

We propose a kinetic Ising model to study phase separation driven by surface diffusion. This model is referred to as "Model S", and consists of the usual Kawasaki spin-exchange kinetics ("Model B") in conjunction with a kinetic constraint.…

Statistical Mechanics · Physics 2015-06-24 S. van Gemmert , G. T. Barkema , Sanjay Puri

We introduce and study a class of particle hopping models consisting of a single box coupled to a pair of reservoirs. Despite being zero-dimensional, in the limit of large particle number and long observation time, the current and activity…

Statistical Mechanics · Physics 2022-08-31 Yongjoo Baek , Yariv Kafri , Vivien Lecomte

A binary liquid near its consolute point exhibits critical fluctuations of the local composition; the diverging correlation length has always challenged simulations. The method of choice for the calculation of critical points in the phase…

Statistical Mechanics · Physics 2021-04-29 Yogyata Pathania , Dipanjan Chakraborty , Felix Höfling

In order to find a measure of the dynamical features of phase separation kinetics during spinodal decomposition of a liquid binary mixture (like water and cyclohexane , water and 2,6 lutidiene or methanol and cyclohexane), we study both the…

Soft Condensed Matter · Physics 2016-04-21 Milan K. Hazra , Sarmistha Sarkar , Biman Bagchi

To study the kinetics of phase separation in active matter systems, we consider models that impose a Vicsek-type self-propulsion rule on otherwise passive particles interacting via the Lennard-Jones potential. Two types of kinetics are of…

Statistical Mechanics · Physics 2023-10-31 Tanay Paul , Nalina Vadakkayil , Subir K. Das

A systematic investigation of the phase separation dynamics in self-assembled multi-component bilayer fluid vesicles and open membranes is presented. We use large-scale dissipative particle dynamics to explicitly account for solvent,…

Soft Condensed Matter · Physics 2015-06-25 Mohamed Laradji , P. B. Sunil Kumar

Using high precision Monte Carlo simulations and a mean-field theory, we explore coarsening phenomena in a simple driven diffusive system. The model is reminiscent of vehicular traffic on a two-lane ring road. At sufficiently high density,…

Statistical Mechanics · Physics 2009-11-11 I. T. Georgiev , B. Schmittmann , R. K. P. Zia

We investigate the domain growth and phase separation of hydrodynamically-correct binary immiscible fluids of differing viscosity as a function of minority phase concentration in both two and three spatial dimensions using dissipative…

Soft Condensed Matter · Physics 2009-10-31 Keir E. Novik , Peter V. Coveney

In this work, we apply phase field simulations to examine the coarsening behavior of morphologically complex two-phase microstructures in which the phases have highly dissimilar mobilities, a condition approaching that found in experimental…

Materials Science · Physics 2022-06-10 W. Beck Andrews , Peter W. Voorhees , Katsuyo Thornton

We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the metastable phase decays through nucleation and…

Statistical Mechanics · Physics 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

With large-scale Monte Carlo simulations, we investigate the nonsteady relaxation at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model. The dynamic scaling behavior is carefully analyzed, and the…

Statistical Mechanics · Physics 2023-06-21 Xiaohui Qian , Gaotian Yu , Nengji Zhou

After a zero temperature quench, we study the kinetics of the one-dimensional Ising model with long-range interactions between spins at distance $r$ decaying as $r^{-\alpha}$, with $\alpha \le 1$. As shown in our recent study [SciPost Phys…

Statistical Mechanics · Physics 2023-08-09 Federico Corberi , Manoj Kumar , Eugenio Lippiello , Paolo Politi

We study damage spreading in models of two-dimensional systems undergoing first order phase transitions. We consider several models from the same non-conserved order parameter universality class, and find unexpected differences between…

Condensed Matter · Physics 2009-10-22 I. S. Graham , E. Hernandez-Garcia , M. Grant

The idealized general model of aggregate growth is considered on the basis of the simple additive rules that correspond to one-step aggregation process. The two idealized cases were analytically investigated and simulated by Monte Carlo…

Statistical Mechanics · Physics 2014-07-02 Yuri G. Gordienko

We report comprehensive simulations of the critical dynamics of a symmetric binary Lennard-Jones mixture near its consolute point. The self-diffusion coefficient exhibits no detectable anomaly. The data for the shear viscosity and the…

Statistical Mechanics · Physics 2009-11-11 Subir K. Das , Michael E. Fisher , Jan V. Sengers , Juergen Horbach , Kurt Binder

In molecular simulations, efficient methods for investigating equilibration and slow relaxation in dense systems are crucial yet challenging. This study focuses on the diffusional characteristics of monodisperse hard disk systems at…

Soft Condensed Matter · Physics 2024-10-21 Daigo Mugita , Masaharu Isobe