Is relaxation to equilibrium hindered by transient dissipative structures in closed systems?
Pattern Formation and Solitons
2007-05-23 v1
Abstract
Dissipative structures are generally observed when a system relaxes from a far from equilibrium state. To address the reverse question given by the title, we investigate the relaxation process in a closed chemical reaction-diffusion system which can potentially form Turing-like patterns during the transient. We find that when certain conditions are fulfilled the relaxation process is indeed drastically hindered, once the pattern is formed. This slowing-down is shown to be due to stepwise relaxation, where each plateau in the relaxation process corresponds to residence at a certain spatial pattern. Universality of the phenomena as well as their biological relevance is briefly discussed.
Keywords
Cite
@article{arxiv.nlin/0310018,
title = {Is relaxation to equilibrium hindered by transient dissipative structures in closed systems?},
author = {Akinori Awazu and Kunihiko Kaneko},
journal= {arXiv preprint arXiv:nlin/0310018},
year = {2007}
}
Comments
3 figures