Article (Scientific journals)
Information Thermodynamics of Turing Patterns
Falasco, Gianmaria; Rao, Riccardo; Esposito, Massimiliano
2018In Physical Review Letters, p. 6
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Abstract :
[en] e set up a rigorous thermodynamic description of reaction-diffusion systems driven out of equilibrium by time-dependent space-distributed chemostats. Building on the assumption of local equilibrium, nonequilibrium thermodynamic potentials are constructed exploiting the symmetries of the chemical network topology. It is shown that the canonical (resp. semigrand canonical) nonequilibrium free energy works as a Lyapunov function in the relaxation to equilibrium of a closed (resp. open) system and its variation provides the minimum amount of work needed to manipulate the species concentrations. The theory is used to study analytically the Turing pattern formation in a prototypical reaction-diffusion system, the one-dimensional Brusselator model, and to classify it as a genuine thermodynamic nonequilibrium phase transition.
Disciplines :
Physics
Author, co-author :
Falasco, Gianmaria  ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Rao, Riccardo ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC)
Esposito, Massimiliano   ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
 These authors have contributed equally to this work.
External co-authors :
no
Language :
English
Title :
Information Thermodynamics of Turing Patterns
Publication date :
04 September 2018
Journal title :
Physical Review Letters
ISSN :
1079-7114
Publisher :
American Physical Society, New York, United States - New York
Pages :
6
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Physics and Materials Science
Available on ORBilu :
since 14 December 2018

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