Entropy production in a two-dimensional reversible Gray-Scott system

Hitoshi Mahara, Tomohiko Yamaguchi, Masatsugu Shimomura

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The entropy production σ is calculated in the time evolution processes toward a Turing-like pattern and a chaotic pattern in a two-dimensional reaction-diffusion system. The contributions of reaction and diffusion to the entropy production are evaluated separately. Though its contribution to total σ is about 5%, the entropy production in diffusion foretells the moving direction of the dots (reaction spots) and the line-shaped patterns. The entropy production of the entire system σ- depicts well the cooperative dynamics and evolution of chaotic dot patterns. It is suggested that σ- can be a scalar measure for quantitative studies of hierarchic pattern dynamics. The relation is also discussed between the bifurcation parameter and the distance from thermodynamic equilibrium.

Original languageEnglish
Article number047508
Issue number4
Publication statusPublished - 2005
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics


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