具有有效相互作用的二维铁磁自旋中的非平衡相变

IF 2 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL
Dagne Wordofa Tola and Mulugeta Bekele
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引用次数: 0

摘要

伊辛模型中的非平衡稳态(NESS)研究为了解远离平衡的复杂系统的特性提供了丰富的见解。本文利用蒙特卡罗(Monte Carlo,MC)算法,探索了有效相互作用下方形晶格上的二维(2D)铁磁伊辛模型中的非平衡稳态相变(PTs)的性质。它需要使用修改后的 Metropolis 和 Glauber 更新规则进行大量 MC 模拟。使用有效参数 h 的适当定义有助于修正更新规则。此外,对于Ⅳ,我们使用数值方法研究了Ⅳ的稳态特性。因此,我们对不同晶格尺寸进行了模拟,并测量了相关物理量。根据这些数据,我们采用有限尺寸缩放(FSS)方法确定了不同 h 值的转变温度和相关临界指数的数值结果。我们发现,指数的 FSS 分析与平衡二维伊辛模型的分析值一致。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonequilibrium phase transitions in a 2D ferromagnetic spins with effective interactions
The study of nonequilibrium steady-state (NESS) in the Ising model offers rich insights into the properties of complex systems far from equilibrium. This paper explores the nature of NESS phase transitions (PTs) in a two-dimensional (2D) ferromagnetic Ising model on a square lattice under effective interactions using Monte Carlo (MC) algorithms. It requires extensive MC simulations using the modified Metropolis and Glauber update rules. Using an appropriate definition of an effective parameter h helps to qualify the modified update rules. For , the analytical solution shows that the nature of the PT (including the critical temperature) is independent of h. Furthermore, for , we study the steady-state properties of PTs using numerical methods. Therefore, we performed simulations for different lattice sizes and measured relevant physical quantities. From the data, we determined the numerical results of the transition temperature and relevant critical exponents for various values of h by applying finite-size scaling (FSS). We found that the FSS analysis of the exponents is consistent with the analytical values of the equilibrium 2D Ising model.
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来源期刊
CiteScore
4.10
自引率
14.30%
发文量
542
审稿时长
1.9 months
期刊介绍: Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.
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