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Phase transition in the Boltzmann-Vlasov equation

Abstract:

In this paper we revisit the problem of explaining phase transition by a study of a form of the Boltzmann equation, where inter-molecular attraction is included by means of a Vlasov term in the evolution equation for the one particle distribution function. We are able to show that for typical gas densities, a uniform state is unstable if the inter-molecular attraction is large enough. Our analysis relies strongly on the assumption, essential to the derivation of the Boltzmann equation,that ν ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s10955-019-02222-6

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Springer Verlag
Journal:
Journal of Statistical Physics More from this journal
Volume:
174
Issue:
5
Pages:
1011–1026
Publication date:
2019-01-22
Acceptance date:
2018-12-10
DOI:
EISSN:
1572-9613
ISSN:
0022-4715
Keywords:
Pubs id:
pubs:954823
UUID:
uuid:ccf55116-bf05-4fd3-bea9-ee0449073551
Local pid:
pubs:954823
Source identifiers:
954823
Deposit date:
2018-12-27

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