Relaxation processes in a system with logarithmic growth
Abstract
We discuss relaxation and aging processes in the one- and two-dimensional models. In these driven diffusive systems of three particle types, biased exchanges in one direction yield a coarsening process characterized in the long time limit by a logarithmic growth of ordered domains that take the form of stripes. From the time-dependent length, derived from the equal-time spatial correlator, and from the mean displacement of individual particles different regimes in the formation and growth of these domains can be identified. Analysis of two-times correlation and response functions reveals dynamical scaling in the asymptotic logarithmic growth regime as well as complicated finite-time and finite-size effects in the early and intermediate time regimes.
Cite
@article{arxiv.1502.00474,
title = {Relaxation processes in a system with logarithmic growth},
author = {Mark O. Brown and Robert H. Galyean and Xiangwen Wang and Michel Pleimling},
journal= {arXiv preprint arXiv:1502.00474},
year = {2015}
}
Comments
25 pages, 11 figures, accepted for publication in Physical Review E