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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…

统计力学 · 物理学 2023-08-09 Federico Corberi , Manoj Kumar , Eugenio Lippiello , Paolo Politi

Following quenches from random initial configurations to zero temperature, we study aging during evolution of the ferromagnetic (nonconserved) Ising model towards equilibrium, via Monte Carlo simulations of very large systems, in space…

统计力学 · 物理学 2019-02-20 Nalina Vadakkayil , Saikat Chakraborty , Subir K. Das

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…

统计力学 · 物理学 2021-05-26 Henrik Christiansen , Suman Majumder , Wolfhard Janke

Via Monte Carlo simulations we study pattern and aging during coarsening in nonconserved nearest neighbor Ising model, following quenches from infinite to zero temperature, in space dimension $d=3$. The decay of the order-parameter…

统计力学 · 物理学 2018-01-17 Saikat Chakraborty , Subir K. Das

We quantify the effect of system size in the kinetics of domain growth in Ising model with 50:50 composition in two spatial dimensions. Our estimate of the exponent, $\alpha=0.334\pm0.004$, for the power law growth of linear domain size,…

统计力学 · 物理学 2010-01-25 Suman Majumder , Subir K. Das

We investigate the laws of coarsening of a two-dimensional system of Ising spins evolving under single-spin-flip irreversible dynamics at low temperature from a disordered initial condition. The irreversibility of the dynamics comes from…

统计力学 · 物理学 2015-07-28 C. Godreche , M. Pleimling

Dynamics of ordering in Ising model, following quench to zero temperature, have been studied via Glauber spin-flip Monte Carlo simulations in space dimensions $d=2$ and $3$. One of the primary objectives has been to understand phenomena…

统计力学 · 物理学 2016-05-03 Saikat Chakraborty , Subir K. Das

The low-temperature coarsening dynamics of a one-dimensional Ising model, with conserved magnetisation and subject to a small external driving force, is studied analytically in the limit where the volume fraction \mu of the minority phase…

凝聚态物理 · 物理学 2009-10-28 Stephen J. Cornell , Alan J. Bray

We present results from extensive Monte Carlo (MC) simulations of domain growth in ferromagnets and binary mixtures with quenched disorder. These are modeled by the "random-bond Ising model" and the "dilute Ising model" with either…

无序系统与神经网络 · 物理学 2009-11-11 Raja Paul , Sanjay Puri , Heiko Rieger

We study the evolution of spin clusters on two dimensional slices of the $3d$ Ising model in contact with a heat bath after a sudden quench to a subcritical temperature. We analyze the evolution of some simple initial configurations, such…

统计力学 · 物理学 2015-04-01 Jeferson J. Arenzon , Leticia F. Cugliandolo , Marco Picco

Recent advances have highlighted the rich low-temperature kinetics of the long-range Ising model (LRIM). This study investigates domain growth in an LRIM with quenched disorder, following a deep low-temperature quench. Specifically, we…

统计力学 · 物理学 2025-09-16 Ramgopal Agrawal , Federico Corberi , Eugenio Lippiello , Sanjay Puri

Morphologies in phase separating systems can significantly influence the final properties of materials. We present extensive Monte Carlo (MC) simulation results on the segregation kinetics of the critical binary (AB) mixture with a fraction…

软凝聚态物质 · 物理学 2022-08-25 Samiksha Shrivastava , Awaneesh Singh

We investigate the ordering kinetics for axial next nearest neighbor Ising (ANNNI) model in one and two dimensions by the multi-spin heat bath dynamical simulation. This dynamics enables us to overcome the pinning effect and to observe the…

统计力学 · 物理学 2007-05-23 Mookyung Cheon , Iksoo Chang

We study the dynamics of domain growth when multipole moments of the order parameter are conserved. Following a quench into the ordered phase of the Ising model, the typical size of domains grows with time as $R(t) \sim t^{1/2}$ in the…

统计力学 · 物理学 2026-04-14 Jacopo Gliozzi , Federico Balducci , Giuseppe De Tomasi

Aging phenomena of short-range Ising spin glass models have been investigated using Monte Carlo simulations. It is found that in the low-temperature spin-glass phase the mean domain size exhibits a crossover from a power-law growth…

无序系统与神经网络 · 物理学 2009-10-31 Koji Hukushima , Hajime Yoshino , Hajime Takayama

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…

统计力学 · 物理学 2017-04-26 Subir K. Das , Saikat Chakraborty

We report studies of the behaviour of a single driven domain wall in the 2-dimensional non-equilibrium zero temperature random-field Ising model, closely above the depinning threshold. It is found that even for very weak disorder, the…

无序系统与神经网络 · 物理学 2009-10-31 Barbara Drossel , Karin Dahmen

In the zero temperature Glauber dynamics of the ferromagnetic Ising or $q$-state Potts model, the size of domains is known to grow like $t^{1/2}$. Recent simulations have shown that the fraction $r(q,t)$ of spins which have never flipped up…

高能物理 - 理论 · 物理学 2009-10-28 Bernard Derrida , Vincent Hakim , Vincent Pasquier

We study the low-temperature domain growth kinetics of the two-dimensional Ising model with long-range coupling: $J(r) \sim r^{-(d+\sigma)}$, where $d=2$ is the dimensionality. According to the Bray-Rutenberg predictions, the exponent…

统计力学 · 物理学 2021-01-20 Ramgopal Agrawal , Federico Corberi , Eugenio Lippiello , Paolo Politi , Sanjay Puri

We study the nonconserved phase ordering dynamics of the d = 2, 3 random field Ising model, quenched to below the critical temperature. Motivated by the puzzling results of previous work in two and three di- mensions, reporting a crossover…

无序系统与神经网络 · 物理学 2012-02-28 F. Corberi , E. Lippiello , A. Mukherjee , S. Puri , M. Zannetti
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