Level 2.5 large deviations for continuous-time Markov chains with time periodic rates. (English) Zbl 1400.82126
Summary: We consider an irreducible continuous-time Markov chain on a finite state space and with time periodic jump rates and prove the joint large deviation principle for the empirical measure and flow and the joint large deviation principle for the empirical measure and current. By contraction, we get the large deviation principle of three types of entropy production flow. We derive some Gallavotti-Cohen duality relations and discuss some applications.
MSC:
| 82C05 | Classical dynamic and nonequilibrium statistical mechanics (general) |
| 60J25 | Continuous-time Markov processes on general state spaces |
| 60F10 | Large deviations |
| 60J75 | Jump processes (MSC2010) |
Keywords:
continuous-time Markov chain; periodic jump rates; large deviation principle; Gallavotti-Cohen duality relationsReferences:
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