Deterministic Soluble Model of Coarsening
Condensed Matter
2009-10-28 v1
Abstract
We investigate a 3-phase deterministic one-dimensional phase ordering model in which interfaces move ballistically and annihilate upon colliding. We determine analytically the autocorrelation function A(t). This is done by computing generalized first-passage type probabilities P_n(t) which measure the fraction of space crossed by exactly n interfaces during the time interval (0,t), and then expressing the autocorrelation function via P_n's. We further reveal the spatial structure of the system by analyzing the domain size distribution.
Keywords
Cite
@article{arxiv.cond-mat/9607167,
title = {Deterministic Soluble Model of Coarsening},
author = {L. Frachebourg and P. L. Krapivsky},
journal= {arXiv preprint arXiv:cond-mat/9607167},
year = {2009}
}
Comments
5 pages, RevTeX file