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Nonlinear Sciences > Pattern Formation and Solitons

arXiv:nlin/0310018 (nlin)
[Submitted on 15 Oct 2003]

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

Authors:Akinori Awazu, Kunihiko Kaneko
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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.
Comments: 3 figures
Subjects: Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:nlin/0310018 [nlin.PS]
  (or arXiv:nlin/0310018v1 [nlin.PS] for this version)
  https://doi.org/10.48550/arXiv.nlin/0310018

Submission history

From: Akinori Awazu [view email]
[v1] Wed, 15 Oct 2003 11:19:43 UTC (43 KB)
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