NONEQUILIBRIUM CRITICAL RELAXATION OF THE 3-DIMENSIONAL ISING-MODEL
NONEQUILIBRIUM CRITICAL RELAXATION OF THE 3-DIMENSIONAL ISING-MODEL
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DOI：
10.1016/0378-4371(93)90111-g
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发表时间：
1993-02-01
期刊：
影响因子：
3.3
通讯作者：
ITO, N
中科院分区：
文献类型：
--
作者：
ITO, N
用MonteCarlo方法模拟了立方晶格铁磁Ising模型在临界点的非平衡弛豫过程。据观察，随时间变化的磁化强度衰减的幂律t（-λ）从所有的初始条件。研究了1536（3）以下几种晶格的三种单自旋翻转动力学。系统的尺寸依赖性也进行了研究。λ的值估计为0.250（2）。如果我们假设lambda = beta/znu，则该lambda值导致动力学指数z的估计为2.06（2），其中beta和nu分别表示平衡状态下自发磁化和相关长度的临界指数，并且beta/nu = 0.515。给出了有序相非平衡弛豫的结果。
The non-equilibrium relaxation process at the critical point is studied using Monte Carlo simulation for the ferromagnetic Ising model on a cubic lattice. It was observed that the time-dependent magnetization decayed following a power law t(-lambda) from the all-up initial condition. Three kinds of single-spin-flip dynamics were studied for several lattices up to 1536(3). The system size dependences are also studied. The value of lambda was estimated to be 0.250(2). This value of lambda leads to the estimation of the dynamical exponent z to be 2.06(2) if we assume lambda = beta/znu, where beta and nu denote the critical exponents for spontaneous magnetization and correlation length in equilibrium state, respectively, and beta/nu = 0.515. The result of the non-equilibrium relaxation in the ordered phase is also given.