Mathematical problems with mean field and local type interaction related to stochastic chemical kinetics,are considered˙Our main concern various definitions of reversibility, their corollaries (Boltzmann type equations, fluctuations,Onsager relations, etc) and emergence of irreversibility.
ABSTRACT:We introduce new models of energy redistribution in stochastic chemical kinetics with several molecule types and energy parameters. The main results concern the situations when there are product form measures. Using a probabilistic interpretation of the related Boltzmann equation, we find some invariant measures explicitly and we prove convergence to them.
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