Analytic solution of relaxation in a system with exponential transition probabilities

摘要: In a thermal system, the simple exponential (SE) model of transition probabilities provides fairly analytical expression for nonequilibrium rate constant (ko) dissociation polyatomic gas. However, SE is poorly normalized, and because some mathematical shortcuts it yields no relaxation times. The present work investigates two properly normalized versions model, called Model A B, gives analytic solution problem. case A, which most realistic physically but difficult mathematically, problem could be solved only an infinite reaction threshold energy, yielding ko=0 together with partly discrete continuous spectrum mean first‐passage time approach nontrivial ko that valid under conditions likely to encountered in practice. B less mathematically simpler, yield...