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Collisionless kinetic theory of rolling molecules

Holm, DD, Putkaradze, V and Tronci, C (2011) Collisionless kinetic theory of rolling molecules arXiv.

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Abstract

We derive a collisionless kinetic theory for an ensemble of molecules undergoing nonholonomic rolling dynamics. We demonstrate that the existence of nonholonomic constraints leads to problems in generalizing the standard methods of statistical physics. In particular, we show that even though the energy of the system is conserved, and the system is closed in the thermodynamic sense, some fundamental features of statistical physics such as invariant measure do not hold for such nonholonomic systems. Nevertheless, we are able to construct a consistent kinetic theory using Hamilton's variational principle in Lagrangian variables, by regarding the kinetic solution as being concentrated on the constraint distribution. A cold fluid closure for the kinetic system is also presented, along with a particular class of exact solutions of the kinetic equations.

Item Type: Article
Authors :
NameEmailORCID
Holm, DDUNSPECIFIEDUNSPECIFIED
Putkaradze, VUNSPECIFIEDUNSPECIFIED
Tronci, Cc.tronci@surrey.ac.ukUNSPECIFIED
Date : 28 September 2011
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/834968

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