Is relaxation to equilibrium hindered by transient dissipative structures in closed systems?

2003/10/15 by Akinori Awazu, Awazu, Akinori, Kunihiko Kaneko +1
Physics and Astronomy · #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #nlin.PS

paper · pdf · doi:10.48550/arxiv.nlin/0310018

3 figures

arxiv created 2003/10/15 · arxiv updated 2009/12/01

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.

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