三维随机点阵Ising模型的集团Monte Carlo方法模拟  

MONTE CARLO SIMULATIONS OF THE ISING MODEL ON THREE-DIMENSIONAL RANDOM LATTICE USING THE CLUSTER ALGORITHM

作　　者：季达人 张剑波[2] 

机构地区：[1]浙江近代物理中心,杭州310027 [2]浙江大学,杭州310027

出　　处：《物理学报》1993年第11期1741-1746,共6页Acta Physica Sinica

基　　金：国家自然科学基金

摘　　要：为了解决Monte Carlo模拟中的临界慢化问题,应用S-W方法,对一维随机点阵的模型进行了研究。找到该系统的相变点为βc=0.075+0.001,与此同时,在相变点附近研究了S W方法的动力学性质,计算得动力学临界指数z～0.74±0.03,结果表明,S W方法对克服三维随机点阵Ising模型的临界慢化是非常有效的。In order to reduce the critical slowing down in Monte Carlo simulations, a numerical study for the Ising model on 3-D random lattice using Swendsen-Wang algorithm is performed. The critical point obtained isβc=0. 075?. 001. Moreover, to analyse the dynamical property of Swendsen-Wang method, the dynamical critical exponent z is estimated. The result is z =0. 74 ±0. 03. This indicates that the Swendsen-Wang method can greatly reduce the critical slowing down for the Ising model on 3-D random lattice.

关 键 词：伊辛模型 临界 相变 蒙特卡罗模拟 

分 类 号：O414.2[理学—理论物理]