Particle-based Ising model,Physical Review E

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Particle-based Ising model
Physical Review E ( IF 2.2 ) Pub Date : 2021-01-21 , DOI: 10.1103/physreve.103.012125
Quentin Novinger ₁ , Antonio Suma _{1,

2} , Daniel Sigg ₃ , Giuseppe Gonnella ₂ , Vincenzo Carnevale ₁

Affiliation

We characterize equilibrium properties and relaxation dynamics of a two-dimensional lattice containing, at each site, two particles connected by a double-well potential (dumbbell). Dumbbells are oriented in the orthogonal direction with respect to the lattice plane and interact with each other through a Lennard-Jones potential truncated at the nearest neighbor distance. We show that the system's equilibrium properties are accurately described by a two-dimensional Ising model with an appropriate coupling constant. Moreover, we characterize the coarsening kinetics by calculating the cluster size as a function of time and compare the results with Monte Carlo simulations based on Glauber or reactive dynamics rate constants.

中文翻译：

基于粒子的 Ising 模型

我们描述了二维晶格的平衡特性和弛豫动力学，每个晶格在每个位置都包含由双阱电位（哑铃）连接的两个粒子。哑铃相对于晶格平面在正交方向上定向，并通过在最近邻距离处截断的 Lennard-Jones 势彼此相互作用。我们表明，系统的平衡特性可以通过具有适当耦合常数的二维 Ising 模型准确地描述。此外，我们通过计算作为时间函数的簇大小来表征粗化动力学，并将结果与基于 Glauber 或反应动力学速率常数的 Monte Carlo 模拟进行比较。

更新日期：2021-01-21

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