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On the motion and Brownian motion of n spheres in a viscous fluid

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  • Mazur, P.

Abstract

An extension of Faxén's theorem is given for the case that n spheres move with arbitrary velocities through a fluid in non-uniform steady flow. Explicit expressions for the friction- and mutual friction tensors, valid to order R-3, where R is a typical distance between spheres, are obtained together with this extension. These expressions contain 2-, 3- and 4-sphere contributions. Brownian motion of n spheres as a consequence of fluid fluctuations is discussed on the basis of the relationships derived.

Suggested Citation

  • Mazur, P., 1982. "On the motion and Brownian motion of n spheres in a viscous fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(1), pages 128-146.
    • Handle: RePEc:eee:phsmap:v:110:y:1982:i:1:p:128-146
    DOI: 10.1016/0378-4371(82)90107-8
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    References listed on IDEAS

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    1. Mazur, P. & van der Zwan, G., 1978. "Brownian motion in a fluid close to its' critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(3), pages 483-500.
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