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Stokesian Dynamics—The BBGKY Hierarchy for Correlation Functions

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Abstract

A statistical description of a system of hard particles immersed in a viscous fluid is introduced and analyzed. Neglecting inertial effects and Brownian motion—i.e. assuming Stokesian dynamics for the particles, hierarchies of equations governing the time evolution of the reduced distribution functions, and for the correlation functions respectively, are derived. It is shown that all non-integrable expressions contained in these equations, stemming from long-range hydrodynamic interactions arising between particles, can be resummed to form physically meaningful fields. Applications of this theoretical scheme are sketched.

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Authors and Affiliations

  1. Institute of Theoretical Physics, University of Warsaw, ul. Hoża 69, 00-681, Warsaw, Poland

    Bogdan Cichocki

  2. Institute of Fundamental Technological Research, ul. Świętokrzyska 21, 00-049, Warsaw, Poland

    Krzysztof Sadlej

Authors
  1. Bogdan Cichocki
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  2. Krzysztof Sadlej
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Correspondence to Krzysztof Sadlej.

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Cichocki, B., Sadlej, K. Stokesian Dynamics—The BBGKY Hierarchy for Correlation Functions. J Stat Phys 132, 129–151 (2008). https://doi.org/10.1007/s10955-008-9542-y

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  • DOI: https://doi.org/10.1007/s10955-008-9542-y

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