Kawasaki dynamics in the continuum via generating functionals evolution

We construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, which leads to a local (in time) solution. An application of this approach to Vlasov-type sca...

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Bibliographic Details
Published inarXiv.org
Main Authors Finkelshtein, Dmitri L, Kondratiev, Yuri G, Maria Joao Oliveira
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 22.07.2011
Subjects
Banach spaces
Evolution
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Summary:We construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, which leads to a local (in time) solution. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.
ISSN:2331-8422