Multiscaling and multifractality in an one-dimensional Ising model

被引：0

作者：

W. Jeżewski

机构：

[1] Institute of Molecular Physics,

[2] Polish Academy of Sciences,undefined

[3] Smoluchowskiego 17/19,undefined

[4] 60-179 Poznań,undefined

[5] Poland,undefined

来源：

The European Physical Journal B - Condensed Matter and Complex Systems | 2001年 / 19卷

关键词：

PACS. 05.50.+q Lattice theory and statistics (Ising, Potts, etc.) – 05.70.-a Thermodynamics – 64.10.+h General theory of equations of state and phase equilibria – 68.35.Rh Phase transitions and critical phenomena;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Scaling properties of the Gibbs distribution of a finite-size one-dimensional Ising model are investigated as the thermodynamic limit is approached. It is shown that, for each nonzero temperature, coarse-grained probabilities of the appearance of particular energy levels display multiscaling with the scaling length ℓ = 1/Mn, where n denotes the number of spins and Mn is the total number of energy levels. Using the multifractal formalism, the probabilities are argued to reveal also multifractal properties.

引用

页码：133 / 138

页数：5