Statistical mechanics of thermal diffusion

7Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.
Get full text

Abstract

Expressions of the flows of atoms A and B of a binary system in a crystal are derived as the response to the imposed gradients of temperature and chemical potentials. The formulation is done using the pair approximation of the Path Probability Method of irreversible statistical mechanics and atomic migration is assumed to be via the vacancy mechanism. The energy carried by photons (and electrons) under the temperature gradient is assumed to be independent of the atomic flux. For the case near equilibrium, linear relations are derived among the atomic fluxes, the energy flux (associated with atomic flux) and the gradients. The Onsager reciprocal relations are proved to hold among the coefficients, including those related to energy flows. The heat of transport (energy carried by a diffusing atom) and the heat conduction due to atomic flux are thus unambigously derived. © 1984.

Cite

CITATION STYLE

APA

Kikuchi, R., Ishikawa, T., & Sato, H. (1984). Statistical mechanics of thermal diffusion. Physica A: Statistical Mechanics and Its Applications, 123(1), 227–252. https://doi.org/10.1016/0378-4371(84)90113-4

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free