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Phase transition in the Boltzmann–Vlasov equation

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dc.contributor.author Fowler, Andrew C.
dc.date.accessioned 2019-03-22T14:53:34Z
dc.date.available 2019-03-22T14:53:34Z
dc.date.issued 2019
dc.identifier.uri http://hdl.handle.net/10344/7714
dc.description peer-reviewed en_US
dc.description.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 ≪ 1, where ν = d/l is the ratio of the molecular diameter to the mean inter-particle distance; in this case, for fluctuations on the scale of the molecular spacing, the collision term is small, and an explicit approximate solution is possible. We give reasons why we think the resulting approximation is valid, and in conclusion offer some possibilities for extension of the results to finite amplitude. en_US
dc.language.iso eng en_US
dc.publisher Springer en_US
dc.relation 12IA1683 en_US
dc.relation.ispartofseries Journal of Statistical Physics; 174, pp. 1011-1026
dc.relation.uri https://doi.org/10.1007/s10955-019-02222-6
dc.subject phase transition en_US
dc.subject Boltzmann equation en_US
dc.subject stabiity theory en_US
dc.title Phase transition in the Boltzmann–Vlasov equation en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.1007/s10955-019-02222-6
dc.contributor.sponsor SFI en_US
dc.relation.projectid 12/IA/1683 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US


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