English

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