Self-diffusion of spherical Brownian particles with hard-core interaction

Sarwat Hanna, Walter Hess and Rudolf Klein

Physica A: Statistical Mechanics and its Applications, 1982, vol. 111, issue 1, 181-199

Abstract: The N-particle Smoluchowski equation is solved exactly for a system of spherical Brownian particles interacting through hard-core potentials to first order in the volume concentration φ. The self-diffusion coefficient is found to be given by Ds = D0(1−2φ), where D0 is the free diffusion constant. The hydrodynamic interaction is then taken into account in a perturbative way. Using the Oseen approximation, Ds = D0(1−0.09φ) is found, whereas the improved form for the hydrodynamic interaction due to Felderhof gives Ds = D0(1−1.89φ).

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:111:y:1982:i:1:p:181-199

DOI: 10.1016/0378-4371(82)90088-7

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