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

B.U. Felderhof and R.B. Jones

Physica A: Statistical Mechanics and its Applications, 1983, vol. 121, issue 1, 329-344

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.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:121:y:1983:i:1:p:329-344

DOI: 10.1016/0378-4371(83)90260-1

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