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

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

2003-10-15

arxiv.org/abs/nlin/0310018v1

Nonlinear Sciences

Pattern Formation and Solitons

3 figures

Scientific paper

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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