Persistence, poisoning, and autocorrelations in dilute coarsening

被引：29

作者：

Lee, BP ^{[1
]}

Rutenberg, AD ^{[1
]}

机构：

[1] UNIV OXFORD,OXFORD OX1 3NP,ENGLAND

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 79卷 / 24期

关键词：

D O I：

10.1103/PhysRevLett.79.4842

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We calculate the exact autocorrelation exponent lambda and persistence exponent theta, and also amplitudes, in the dilute limit of phase ordering for dimensions d greater than or equal to 2. In the Lifshitz-Slyozov-Wagner limit of conserved order parameter dynamics we iind theta = gamma(d) epsilon, a universal constant times the volume fraction. For autocorrelations, lambda = d at intermediate times, with a late time crossover to lambda greater than or equal to d/2 + 2. We also derive lambda and theta for globally conserved dynamics and relate these to the q --> infinity-state Ports model and soap froths, proposing new poisoning exponents.

引用

页码：4842 / 4845

页数：4

共 39 条

[11] Persistent spins in the linear diffusion approximation of phase ordering and zeros of stationary Gaussian processes [J].