Monte Carlo renormalization of the 3D Ising model: Analyticity and convergence

被引:44
作者
Blote, HWJ
Heringa, JR
Hoogland, A
Meyer, EW
Smit, TS
机构
[1] Department of Applied Physics, Delft University of Technology, Delft, 2628 CJ
关键词
D O I
10.1103/PhysRevLett.76.2613
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We review the assumptions on which the Monte Carlo renormalization technique is based, in particular, the analyticity of the block-spin transformations. On this basis, we select an optimized Kadanoff blocking rule in combination with the simulation of a d = 3 Ising model with reduced corrections to scaling. This is achieved by including interactions with second and third neighbors. As a consequence of the improved transformation, this Monte Carlo renormalization method yields a fast convergence and a high accuracy. The results for the critical exponents are y(H) = 2.481(1) and y(T) = 1.585(3).
引用
收藏
页码:2613 / 2616
页数:4
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