Theory of Phenomenological Coefficients in Solidhyphen;State Diffusion. I. General Expressions

摘要

General expressions for the phenomenological coefficients in terms of jump probabilities have been derived for isothermal solidhyphen;state diffusion using linear response theory of the Kubo type. The assumptions required are: (a) the system evolves according to the master equation of a Markoff process, (b) a weak assumption about the general form of the perturbation to the transition probabilities in an applied field, (c) the detailedhyphen;balance principle as applied to a Markoff process for a system at equilibrium. The Onsager relations are obeyed.The advantages of using these results as a starting point for detailed calculations compared with conventional methods are briefly discussed and further developments noted.An appendix discusses the application of the same method to thermal diffusion.