Abstract
The revised Enskog kinetic theory (RET) is used to describe transport in a hard sphere crystal. The connection between the RET and the exact density functional theory (DFT) description of the solid state is established. The RET is used to derive the dissipative linear equations of elasticity. The elastic moduli in these equations are identical to those obtained from equilibrium like DFT. The expressions for the solid state transport coefficients (determining sound absorption and heat conduction in the hard sphere crystal) are new. As for the analogous calculation in the liquid state, the transport coefficients are determined by the (solid state) equilibrium two-particle distribution function at contact.
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Dates
Type | When |
---|---|
Created | 23 years ago (July 26, 2002, 9:12 a.m.) |
Deposited | 1 year, 6 months ago (Feb. 10, 2024, 6:19 a.m.) |
Indexed | 2 weeks, 1 day ago (Aug. 6, 2025, 8:20 a.m.) |
Issued | 35 years, 5 months ago (March 15, 1990) |
Published | 35 years, 5 months ago (March 15, 1990) |
Published Print | 35 years, 5 months ago (March 15, 1990) |
@article{Kirkpatrick_1990, title={Kinetic theory of transport in a hard sphere crystal}, volume={92}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.457835}, DOI={10.1063/1.457835}, number={6}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Kirkpatrick, T. R. and Das, Shankar P. and Ernst, M. H. and Piasecki, J.}, year={1990}, month=mar, pages={3768–3780} }