Large deviations of reaction fluxes
- Patterson, Robert I. A.
- Renger, D. R. Michiel
2010 Mathematics Subject Classification
- 60F10 60J25 80A30 82C22
2010 Physics and Astronomy Classification Scheme
- 82.40.Bj 82.60.-s82.20.Db 82.20.Fd
- Chemical reaction networks, large deviations, Markov processes
We study a system of interacting particles that randomly react to form new particles. The reaction flux is the rescaled number of reactions that take place in a time interval. We prove a dynamic large-deviation principle for the reaction fluxes under general assumptions that include mass-action kinetics. This result immediately implies the dynamic large deviations for the empirical concentration.
- Math. Phys. Anal. Geom., 22 (2019), pp. 21/1--21/32, DOI 10.1007/s11040-019-9318-4 .