Absorbing-state phase transitions: Exact solutions of small systems

被引：4

作者：

Dickman, Ronald ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, Dept Fis, ICEx, BR-30123970 Belo Horizonte, MG, Brazil

来源：

PHYSICAL REVIEW E | 2008年 / 77卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.77.030102

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

I derive precise results for absorbing-state phase transitions using exact (numerically determined) quasistationary (QS) probability distributions for small systems. Analysis of the contact process on rings of 23 or fewer sites yields critical properties (control parameter, order-parameter ratios, and critical exponents z and beta/nu(perpendicular to)) with an accuracy of 0.06% or better; precise results are also obtained for the pair contact process. The QS distribution yields insights on the statistical entropy of these models. Preliminary application to a model in the stochastic sandpile class is also described.

引用

页数：4

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