Persistence, Poisoning, and Autocorrelations in Dilute Coarsening
Statistical Mechanics
2008-02-03 v2 Soft Condensed Matter
Abstract
We calculate the exact autocorrelation exponent lambda and persistence exponent theta, and also amplitudes, in the dilute limit of phase ordering for dimensions d >= 2. In the Lifshitz-Slyozov-Wagner limit of conserved order parameter dynamics we find 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 >= d/2 + 2. We also derive lambda and theta for globally conserved dynamics and relate these to the q->infinity -state Potts model and soap froths, proposing new poisoning exponents.
Keywords
Cite
@article{arxiv.cond-mat/9707228,
title = {Persistence, Poisoning, and Autocorrelations in Dilute Coarsening},
author = {Benjamin P. Lee and Andrew D. Rutenberg},
journal= {arXiv preprint arXiv:cond-mat/9707228},
year = {2008}
}
Comments
4 pages, revtex. References added, abstract shortened