Entropy balance in distributed reversible Gray-Scott model
type: Item
instance of: scholarly article
title: Entropy balance in distributed reversible Gray-Scott model
zbMATH Open document ID: 1211.37032
author: Hitoshi Mahara
author: Tomohiko Yamaguchi
published in: Physica D
publication date: 2010-05-25T00:00:00Z
review text: A practical way to calculate the entropy change in the distributed media composed of reversible Gray-Scott model is demonstrated. The entropy change is given as the sum of the entropy production and the divergence of entropy flow. The divergence of entropy is calculated based on the chemical potential of steady state. It becomes evident that: (i) the entropy change for the emergence of dissipative structures in the open system can be positive or negative, (ii) most of the entropy produced inside the system is thrown out to the environment when dissipative structures are developing, (iii) the entropy production and the divergence of entropy flow balance completely, when the system shows static steady states, (iv) the entropy change behaves as if it is the time derivative of the entropy production. Prior to these calculations of entropy balance, the features of emergent patterns in the two-dimensional system are examined in terms of entropy production solely. The results imply that the entropy production can be an index for us to discriminate spatial patterns, but is not a global thermodynamic potential for the evolution of dissipative structures.
Mathematics Subject Classification ID: 37D35
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 5711826
zbMATH Keywords: entropy balance
zbMATH Keywords: reversible Gray-Scott model
zbMATH Keywords: reaction-diffusion system
zbMATH Keywords: multi-stability
zbMATH Keywords: entropy production
zbMATH Keywords: entropy change
zbMATH Keywords: entropy flow
MaRDI profile type: Publication
full work available at URL: j.physd.2010.02.001
OpenAlex ID: W1974109703
cites work: Q4138569
cites work: Q4393433
cites work: Spiral waves in the Belousov-Zhabotinskii reaction
cites work: Sur Les Propriétés Différentielles De La Production d'Entropie
cites work: Entropy production in a two-dimensional reversible Gray-Scott system
DOI: 10.1016/J.PHYSD.2010.02.001
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description: scientific article; zbMATH DE number 5711826