Coarsening in a Driven Ising Chain with Conserved Dynamics
Abstract
We study the low-temperature coarsening of an Ising chain subject to spin-exchange dynamics and a small driving force. This dynamical system reduces to a domain diffusion process, in which entire domains undergo nearest-neighbor hopping, except for the shortest domains -- dimers -- which undergo long-range hopping. This system is characterized by two independent length scales: the average domain length L(t)~t^{1/2} and the average dimer hopping distance l(t)~ t^{1/4}. As a consequence of these two scales, the density C_k(t) of domains of length k does not obey scaling. This breakdown of scaling also leads to the density of short domains decaying as t^{-5/4}, instead of the t^{-3/2} decay that would arise from pure domain diffusion.
Cite
@article{arxiv.cond-mat/9903191,
title = {Coarsening in a Driven Ising Chain with Conserved Dynamics},
author = {V. Spirin and P. L. Krapivsky and S. Redner},
journal= {arXiv preprint arXiv:cond-mat/9903191},
year = {2009}
}
Comments
7 pages, 9 figures, revtex 2-column format