Mielke, A. and Patterson, R. I. A and Peletier, M. A. and Renger, M. (2017) Nonequilibrium thermodynamical principles for chemical reactions with massaction kinetics. SIAM Journal on Applied Mathematics, 77 (4). pp. 15621585. ISSN 1095712X (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 nonlinear 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, nonequilibrium 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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