The sum-rule relation among phenomenological transport coefficients and its consequences in the analysis of collective diffusion problems
Author(s) -
Irina V. Belova,
Graeme E. Murch
Publication year - 2004
Publication title -
physical chemistry chemical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.053
H-Index - 239
eISSN - 1463-9084
pISSN - 1463-9076
DOI - 10.1039/b316170f
Subject(s) - diffusion , sum rule in quantum mechanics , relation (database) , phenomenological model , statistical physics , thermodynamics , vacancy defect , alkali metal , field (mathematics) , halide , chemistry , condensed matter physics , chemical physics , physics , mathematics , computer science , quantum mechanics , data mining , inorganic chemistry , pure mathematics , quantum chromodynamics
In this paper, we discuss the sum-rule that relates the phenomenological coefficients in the multicomponent random alloy system in the case where the isolated vacancy mechanism is operating. We present applications of this sum-rule to intrinsic diffusion in multicomponent alloys, intrinsic diffusion in mixed alkali halides and demixing of multicomponent transition metal oxides in an oxygen potential gradient and an electric field. In each case, a very substantial simplification in the analysis is made possible because of the sum-rule
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