Three-variable reversible Gray-Scott model

Hitoshi Mahara, Nobuhiko J. Suematsu, Tomohiko Yamaguchi, Kunishige Ohgane, Yasumasa Nishiura, Masatsugu Shimomura

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)


Even though the field of nonequilibrium thermodynamics has been popular and its importance has been suggested by Demirel and Sandier [J. Phys. Chem. B 108, 31 (2004)], there are only a few investigations of reaction-diffusion systems from the aspect of thermodynamics. A possible reason is that model equations are complicated and difficult to analyze because the corresponding chemical reactions need to be reversible for thermodynamical calculations. Here, we introduce a simple model for calculation of entropy production rate: a three-variable reversible Gray-Scott model. The rate of entropy production in self-replicating pattern formation is calculated, and the results are compared with those reported based on the Brusselator model in the context of biological cell division.

Original languageEnglish
Pages (from-to)8968-8972
Number of pages5
JournalJournal of Chemical Physics
Issue number18
Publication statusPublished - 2004 Nov 8
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry


Dive into the research topics of 'Three-variable reversible Gray-Scott model'. Together they form a unique fingerprint.

Cite this