Monte Carlo renormalization group of dilute 3D Ising dynamics

25th IUPAP Conference on Computational Physics

物理学;计算机科学

Prudnikov, V.V.^1 ; Vakilov, A.N.^1 ; Zolotarev, S.A.^1

Department of Theoretical Physics, Omsk State University, Omsk 644077, Russia^1

关键词: Critical relaxation;    Cubic systems;    Dynamical critical exponent;    Dynamical renormalization;    Monte Carlo renormalization groups;    Non-magnetic impurities;    Spin concentration;    Three-dimensional Ising model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/510/1/012019/pdf
DOI  :  10.1088/1742-6596/510/1/012019

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

Simulation of critical relaxation of the magnetization in a three-dimensional Ising model diluted by quenched nonmagnetic impurity atoms is carried out. The cubic systems with linear size L 144 and spin concentrations p 0.95, 0.8, 0.6, and 0.5 are studied. The dynamical critical exponent z is determined by the Monte Carlo method combined with the dynamical renormalization group method. The obtained results are: z(p): z(0.95) 2.19 ± 0.07, z(0.8) 2.29 ± 0.06, z(0.6) 2.72 ± 0.08, and z(0.5) 2.75 ± 0.08.