Survival probability of a Gaussian non-Markovian process: Application to the T=0 dynamics of the Ising model

被引：115

作者：

Majumdar, SN ^{[1
]}

Sire, C ^{[1
]}

机构：

[1] UNIV TOULOUSE 3, UMR C5626 CNRS, PHYS QUANT LAB, F-31062 TOULOUSE, FRANCE

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 08期

关键词：

D O I：

10.1103/PhysRevLett.77.1420

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the decay of the probability for a non-Markovian stationary Gaussian walker not to cross the origin up to time t. This result is then used to evaluate the fraction of spins that do not flip up to time t in the zero temperature Monte Carlo spin flip dynamics of the Ising model. Our results are compared to extensive numerical simulations.

引用

页码：1420 / 1423

页数：4

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