论文标题
基于粒子的iSing模型
A particle-based Ising model
论文作者
论文摘要
我们表征了一个二维晶格的平衡特性和弛豫动力学，该晶格包含每个位点，由双孔电势连接的两个颗粒（哑铃）连接。相对于晶格平面，哑铃在正交方向上定向，并通过在最近的邻居距离处截断的Lennard-Jones势相互作用。我们表明，系统的平衡属性是通过具有适当耦合常数的二维ISING模型准确描述的。此外，我们通过计算簇的大小作为时间的函数来表征变色的动力学，并将结果与基于Glauber或反应性动力学速率常数的蒙特卡罗模拟进行比较。
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.
