ANALYTICAL APPROXIMATIONS FOR THE HIERARCHICALLY CONSTRAINED KINETIC ISING CHAIN

被引：35

作者：

EISINGER, S ^{[1
]}

JACKLE, J ^{[1
]}

机构：

[1] UNIV KONSTANZ,FAK PHYS,CONSTANCE,GERMANY

来源：

JOURNAL OF STATISTICAL PHYSICS | 1993年 / 73卷 / 3-4期

关键词：

ISING MODELS; KINETIC CONSTRAINT; EFFECTIVE-MEDIUM APPROXIMATION; MODE-COUPLING APPROXIMATION; CLUSTER APPROXIMATION; LONG-TIME BEHAVIOR;

D O I：

10.1007/BF01054344

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The hierarchically constrained kinetic Ising model in one dimension is reviewed, and the results of several analytical approaches to the model are presented. Two standard approximation schemes, an effective-medium approximation and a mode-coupling approximation, are shown to fail. A new class of approximations, termed cluster approximations, is better suited for the model. It yields good results for the spin autocorrelation function, and also elucidates important general properties of the model-its connection with defect-diffusion models and the asymptotic long-time behavior of the autocorrelation function.

引用

页码：643 / 670

页数：28

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