deriving generalized born-markov optical master equation for analysis of inelastic tunneling under non equilibrium condition

A generalized born-markov master equation for describing inelastic tunneling under non-equilibrium interaction is recommended. rate equations are extracted and analyzed for reaching maximization in tunneling rates. possible rooms for reviving quantum coherence despite the role of the environment have been surveyed. the scheme extended in this article can provide a general framework for the analysis of quantum tunneling in different realms of quantum optics and quantum biology. it is shown how the non-equilibrium character of the system-environment interaction may strengthen the chance of predominance probability of occurrence of inelastic tunneling against elastic tunneling despite the usual expectation.