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Statistical Mechanics of Thermotransport of a Heavy Impurity in an Insulating Solid by A. R. Allnatt is a Chemistry article available to read on EtoBox.

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## Abstract A kinetic equation is derived for the singlet distribution function for a heavy impurity in a lattice of lighter atoms in a temperature gradient. In the one dimensional case the equation can be solved to find formal expressions for the jump probability and hence the heat of transport, q\*. for a single vacancy jump of the impurity, q\* is the sum of the enthalpy of activation, a term involving only averaging in an equilibrium ensemble, and two non-equilibrium terms in­volving time correlation functions. The most important non-equilibrium term concerns the cor­relation between the force on the impurity and a microscopic heat flux. A plausible extension to three dimensions is suggested and the relation to earlier isothermal and non-isothermal theories is indicated

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Author

A. R. Allnatt

Publisher

Walter de Gruyter GmbH

Published

1971

Language

EN

Field

Chemistry (Physical Sciences)