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Cluster expansion of the diffusion kernel of a suspension of interacting Brownian particles

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  • Felderhof, B.U.
  • Jones, R.B.

Abstract

We derive a cluster expansion for the wavenumber- and frequency-dependent diffusion coefficient of a suspension of interacting Brownian particles. The diffusion coefficient is expressed in terms of evolution operators of progressively increasing complexity. We expect that at low frequency only the low-order terms contribute effectively. We propose an expression for the wavenumber-dependent collective diffusion coefficient at zero frequency which involves the dynamics of only two particles. A similar expression is obtained for the wave-number dependent self-diffusion coefficient.

Suggested Citation

  • Felderhof, B.U. & Jones, R.B., 1983. "Cluster expansion of the diffusion kernel of a suspension of interacting Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(1), pages 329-344.
    • Handle: RePEc:eee:phsmap:v:121:y:1983:i:1:p:329-344
    DOI: 10.1016/0378-4371(83)90260-1
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    1. Dorfman, Robert, 1969. "An Economic Interpretation of Optimal Control Theory," American Economic Review, American Economic Association, vol. 59(5), pages 817-831, December.
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