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Double bracket dissipation in kinetic theory for particles with anisotropic interactions

Holm, DD, Putkaradze, V and Tronci, C (2007) Double bracket dissipation in kinetic theory for particles with anisotropic interactions Proceedings of the Royal Society A, 466. pp. 2991-3012.

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Abstract

We derive equations of motion for the dynamics of anisotropic particles directly from the dissipative Vlasov kinetic equations, with the dissipation given by the double bracket approach (Double Bracket Vlasov, or DBV). The moments of the DBV equation lead to a nonlocal form of Darcy's law for the mass density. Next, kinetic equations for particles with anisotropic interaction are considered and also cast into the DBV form. The moment dynamics for these double bracket kinetic equations is expressed as Lie-Darcy continuum equations for densities of mass and orientation. We also show how to obtain a Smoluchowski model from a cold plasma-like moment closure of DBV. Thus, the double bracket kinetic framework serves as a unifying method for deriving different types of dynamics, from density--orientation to Smoluchowski equations. Extensions for more general physical systems are also discussed.

Item Type: Article
Authors :
NameEmailORCID
Holm, DDUNSPECIFIEDUNSPECIFIED
Putkaradze, VUNSPECIFIEDUNSPECIFIED
Tronci, Cc.tronci@surrey.ac.ukUNSPECIFIED
Date : 30 July 2007
Identification Number : https://doi.org/10.1098/rspa.2010.0043
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:21
Last Modified : 17 May 2017 15:03
URI: http://epubs.surrey.ac.uk/id/eprint/834955

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