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Mode coupling and tagged particle correlation functions: the Stokes-Einstein law

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  • Schofield, Jeremy
  • Oppenheim, Irwin

Abstract

In this paper a mode coupling theory for equilibrium tagged particle correlation functions in simple fluids is developed from molecular considerations. The mode coupling formalism developed in a previous paper [Physica A 181 (1992) 89] to describe equilibrium fluctuations in simple liquids is generalized to include tagged particle correlations. The mode coupling formalism and N ordering approximation scheme used in the previous paper allow a series for the generalized diffusion constant to be obtained which is exact in the thermodynamic limit. The Stokes-Einstein law for a slip Brownian particle is then derived from this series in a systematic fashion. The techniques applied here obviate the need to assume that the simple liquid is incompressible, and allow a self-consistent series of equations for the diffusion constant of the Brownian particle and transport coefficients of the fluid to be obtained which are useful in the study of supercooled liquids.

Suggested Citation

  • Schofield, Jeremy & Oppenheim, Irwin, 1992. "Mode coupling and tagged particle correlation functions: the Stokes-Einstein law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 210-242.
    • Handle: RePEc:eee:phsmap:v:187:y:1992:i:1:p:210-242
    DOI: 10.1016/0378-4371(92)90419-Q
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