Statistical Mechanics of Non-Equilibrium Systems. II ---Extensivity, Fluctuation and Relaxation of Markoffian Macrovariables---

摘要: Kubo's extensivity Ansatz is proved for Markoffian macrovariables by the help of mean value theorem and Haar's lemma, together with a rigorous derivation asymptotic equations distribution function generating in thermodynamic limit. The existence uniqueness solutions these are under some appropriate conditions. Complete general them obtained to give solution Cauchy problems. Time-evolution most probable path, variance cumulants higher order derived on basis equation function. It shown that generalized potential approaches equilibrium passage time. convergence system size expansion also discussed.