Atomic transport via point defects in crystals V. Equivalence of kinetic and linear response theories

Abstract

Earlier papers in this series have presented a general formulation of the kinetic theory of isothermal atomic transport via point defects. This has been used to derive expressions for the macroscopic transport coefficients and to analyse the response to time-dependent fields in terms of parameters characterizing the defects and their interaction with solute atoms, etc. In this paper it is shown that these transport coefficients and response functions are invariant with respect to a class of transformations of the quantities representing the defect displacements in all the transitions considered. In this way the exact equivalence of these results of kinetic theory to corresponding results of the linear response theory of Allnatt and Okamura is demonstrated.