Three-variable reversible Gray-Scott model

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

doi:10.1063/1.1803531

Three-variable reversible Gray-Scott model

J Chem Phys. 2004 Nov 8;121(18):8968-72. doi: 10.1063/1.1803531.

Authors

Hitoshi Mahara¹, Nobuhiko J Suematsu, Tomohiko Yamaguchi, Kunishige Ohgane, Yasumasa Nishiura, Masatsugu Shimomura

Affiliation

¹ National Institute of Advanced Industrial Science and Technology (AIST), Higashi 1-1-1, Tsukuba 305-8565, Japan.

PMID: 15527362
DOI: 10.1063/1.1803531

Abstract

Even though the field of nonequilibrium thermodynamics has been popular and its importance has been suggested by Demirel and Sandler [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.