Statistical mechanics of thermal diffusion
type: Item
instance of: scholarly article
title: Statistical mechanics of thermal diffusion
zbMATH Open document ID: 0598.60096
DOI: 10.1016/0378-4371(84)90113-4
author: Ryoichi Kikuchi
author: Takuma Ishikawa
author: Hiroshi Sato
published in: Physica A
publication date: 1984-01-01T00:00:00Z
review text: 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 phonons (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 unambiguously derived.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 60J70
zbMATH DE Number: 3965152
zbMATH Keywords: path probability method
zbMATH Keywords: statistical mechanics
zbMATH Keywords: atomic migration
zbMATH Keywords: Onsager reciprocal relations
MaRDI profile type: Publication
full work available at URL: 0378-4371(84)90113-4
OpenAlex ID: W1967698015
cites work: Reciprocal Relations in Irreversible Processes. II.
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description: scientific article; zbMATH DE number 3965152