Multiscaling and multifractality in an one-dimensional Ising model

被引：0
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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;
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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.
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页码：133 / 138
页数：5
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