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Transport in two dimensions. III self-diffusion coefficient at low densities

Author

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  • Yuan, Herbert H-H.
  • Oppenheim, Irwin

Abstract

The low density form of the generalized frequency (s) and wavevector (k) dependent self-diffusion coefficient D(k, s) is calculated, from which the low density forms of related quantities, e.g. the velocity autocorrelation function, are derived. Agreement is obtained with the low density kinetic theory results. A closed form expression for D(k, s) valid over a wide range of densities and times is also given, showing consistency between the asymptotic long time results, obtained previously, and the low density kinetic theory results.

Suggested Citation

  • Yuan, Herbert H-H. & Oppenheim, Irwin, 1978. "Transport in two dimensions. III self-diffusion coefficient at low densities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(3), pages 561-573.
    • Handle: RePEc:eee:phsmap:v:90:y:1978:i:3:p:561-573
    DOI: 10.1016/0378-4371(78)90009-2
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