Relaxational processes in the one-dimensional Ising model with long-range interactions
Relaxational processes in the one-dimensional Ising model with long-range interactions
复制标题
具有长程相互作用的一维 Ising 模型中的松弛过程
DOI：
10.1103/physreve.94.062142
复制
发表时间：
2016
影响因子：
2.4
通讯作者：
Y. Tomita
中科院分区：
文献类型：
--
作者：
岡田紘彰;岩上翔;小林泰三;高橋公也;Y. Tomita
通过蒙特卡罗模拟研究了具有长程相互作用的一维 Ising 模型有序相中的松弛过程。研究了三种类型的自旋模型：纯铁磁模型、稀释铁磁模型和自旋玻璃模型。一维系统的有效尺寸由一个参数控制，该参数调节相互作用衰减的速率。通过改变 的值来对液滴动力学从下临界尺寸到上临界尺寸进行系统研究。将数值数据与液滴理论进行比较，发现液滴的表面尺寸分布在有效尺寸周围。表面尺寸的分布使得液滴动力学变得复杂并且极大地增强了动力学交叉。
Relaxational processes in ordered phases of one-dimensional Ising models with long-range interactions are investigated by Monte Carlo simulations. Three types of spin model, the pure ferromagnetic, the diluted ferromagnetic, and the spin glass models, are examined. The effective dimension of the one-dimensional systems are controlled by a parameter, which tunes the rate of interaction decay. Systematical investigations of droplet dynamics, from the lower to the upper critical dimension, are conducted by changing the value of. Comparing numerical data with the droplet theory, it is found that the surface dimension of droplets is distributed around the effective dimension. The distribution in the surface dimension makes the droplet dynamics complex and extremely enhances dynamical crossover.