WIAS Preprint No. 2165, (2015)
Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics
- Mielke, Alexander
- Patterson, Robert I. A.
- Peletier, Mark A.
- Renger, D. R. Michiel
2010 Mathematics Subject Classification
- 80A30 82C35 60F10
2008 Physics and Astronomy Classification Scheme
- Reaction networks, non-equilibrium thermodynamics, large deviations of interacting particle systems
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.
- SIAM J. Appl. Math., 77 (2017), pp. 1562--1585, DOI 10.1137/16M1102240 .