Exact linear relations between the phenomenological coefficients for matter transport in a random alloy
- 1 October 1988
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine A
- Vol. 58 (4) , 677-682
- https://doi.org/10.1080/01418618808209945
Abstract
The general linear response expressions for isothermal matter transport simplify for the random alloy model with the vacancy mechanism because the jump rates are independent of the local configuration of atoms on the lattice. It is shown that in consequence there are n exact relations between the non-equilibrium thermodynamic phenomenological coefficients for isothermal transport in a random alloy of n atomic components in addition to the Onsager reciprocal relations. These new relations are satisfied by earlier approximate theories. They are advantageous in Monte Carlo simulations of the model.Keywords
This publication has 20 references indexed in Scilit:
- Statistical theories of atomic transport in crystalline solidsReports on Progress in Physics, 1987
- Correlated random walk in a multicomponent alloy self-consistent decoupling approximationPhilosophical Magazine A, 1986
- Diffusion in mixedA-Balloys in two and three dimensionsPhysical Review B, 1985
- Computer simulation of phenomenological coefficients for atom transport in a random alloyPhilosophical Magazine A, 1984
- Linear response theory of correlation effects in anisothermal atomic transport in crystalsJournal of Physics C: Solid State Physics, 1984
- Diffusion Correlation in Random Primitive Cubic AlloysPhysica Status Solidi (b), 1977
- Diffusion correlation in random alloysThin Solid Films, 1975
- Rate Processes in SolidsReviews of Modern Physics, 1967
- Theory of Phenomenological Coefficients in Solid-State Diffusion. I. General ExpressionsThe Journal of Chemical Physics, 1965
- Matter transport in solidsReports on Progress in Physics, 1964