title: Three-variable reversible Gray-Scott model.
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.
authors.affiliation: National Institute of Advanced Industrial Science and Technology (AIST), Higashi 1-1-1, Tsukuba 305-8565, Japan.
authors.forename: Hitoshi
authors.initials: H
authors.lastname: Mahara
authors.forename: Nobuhiko J
authors.initials: NJ
authors.lastname: Suematsu
authors.forename: Tomohiko
authors.initials: T
authors.lastname: Yamaguchi
authors.forename: Kunishige
authors.initials: K
authors.lastname: Ohgane
authors.forename: Yasumasa
authors.initials: Y
authors.lastname: Nishiura
authors.forename: Masatsugu
authors.initials: M
authors.lastname: Shimomura