MONTE-CARLO STUDY OF GROWTH IN THE TWO-DIMENSIONAL SPIN-EXCHANGE KINETIC ISING-MODEL
MONTE-CARLO STUDY OF GROWTH IN THE TWO-DIMENSIONAL SPIN-EXCHANGE KINETIC ISING-MODEL
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DOI：
10.1103/physrevb.37.196
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发表时间：
1988-01-01
影响因子：
3.7
通讯作者：
MOUNTAIN, RD
中科院分区：
文献类型：
--
作者：
AMAR, JG;SULLIVAN, FE;MOUNTAIN, RD
从广泛的Monte Carlo模拟畴生长的二维自旋交换动力学伊辛模型具有相同数量的上，下自旋的结果。使用不同的措施域的大小，包括对相关函数，能量，和循环平均结构因子的域的大小被确定（在T= 0.5 TC）作为时间的函数的时间高达10 - 6蒙特卡罗步骤。发现生长规律R（t）= A+ Bt 1/3对数据提供了极好的拟合（在0.3%以内），从而表明在长时间内经典的指数值（1/3）是正确的。指出这一增长规律等价于Huse给出的任何时候的有效指数neff（t）=（1/3-1）/3C/R（t）。没有发现对数行为的证据。还讨论了畴尺寸的各种测量的自平均性质以及常数A和B随温度的变化。此外，由于晶格的结构因子和各向异性效应的缩放检查。
Results obtained from extensive Monte Carlo simulations of domain growth in the two-dimensional spin-exchange kinetic Ising model with equal numbers of up and down spins are presented. Using different measures of domain size—including the pair-correlation function, the energy, and circularly-averaged structure factor—the domain size is determined (at T= 0.5 T c) as a function of time for times up to 10 6 Monte Carlo steps. The growth law R (t)= A+ Bt 1/3 is found to provide an excellent fit (within 0.3%) to the data, thus indicating that at long times the classical value of (1/3 for the exponent is correct. It is pointed out that this growth law is equivalent to an effective exponent for all times (as given by Huse) n eff (t)=(1/3-1)/3 C/R (t). No evidence for logarithmic behavior is seen. The self-averaging properties of the various measures of domain size and the variation of the constants A and B with temperature are also discussed. In addition, the scaling of the structure factor and anisotropy effects due to the lattice are examined.