The self-diffusion constant for large heavy particles

T. Keyes and I. Oppenheim

Physica A: Statistical Mechanics and its Applications, 1975, vol. 81, issue 2, 241-248

Abstract: We construct a closed-form expression for the self-diffusion constant, D, for a hard-sphere particle whose mass and radius are large compared to the corresponding bath-particle quantities. The expression yields the Stokes-Einstein law at high bath-particle densities and the Boltzmann form for low densities. In addition, the first density correction to D is obtained and the higher-order density corrections are shown to diverge. The second density correction diverges as −log(k0R), where k0 is a cutoff wavevector and R is the radius of the particle.

Date: 1975
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:81:y:1975:i:2:p:241-248

DOI: 10.1016/0378-4371(75)90066-7

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