Repository: Freie Universit├Ąt Berlin, Math Department

Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics

Mielke, A. and Patterson, R. I. A and Peletier, M. A. and Renger, M. (2017) Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics. SIAM Journal on Applied Mathematics, 77 (4). pp. 1562-1585. ISSN 1095-712X (online)

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Official URL: https://dx.doi.org/10.1137/16M1102240

Abstract

We study stochastic interacting particle systems that model chemical reaction networks on the micro scale, converging to the macroscopic Reaction Rate Equation. One abstraction level higher, we study the ensemble of such particle systems, converging to the corresponding Liouville transport equation. For both systems, we calculate the corresponding large deviations and show that under the condition of detailed balance, the large deviations induce a non-linear relation between thermodynamic fluxes and free energy driving force.

Item Type:Article
Additional Information:Preprint 12/2015: WIAS Preprint No. 2165
Uncontrolled Keywords:Reaction networks, non-equilibrium thermodynamics, large deviations of interacting particle systems
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
ID Code:1875
Deposited By: Ulrike Eickers
Deposited On:16 Mar 2016 09:22
Last Modified:24 Oct 2017 12:42

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