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Glauber dynamics in the continuum via generating functionals evolution
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Orientador(es)
Resumo(s)
We construct the time evolution for states of Glauber 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, leading to a local (in time)
solution which, under certain initial conditions, might be extended to a global one. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.
Descrição
Palavras-chave
Generating functional Glauber dynamics Interacting particle system Continuous system Ovsjannikov’s method Vlasov scaling
Contexto Educativo
Citação
Finkelshtein, Dmitri L., Kondratiev, Yuri G., Oliveira, Maria João - Glauber dynamics in the continuum via generating functionals evolution. "Complex Analysis and Operator Theory" [Em linha]. ISSN 1661-8254 (Print) 1661-8262 (Online). Vol. 6, nº 4 (2012), p. 923-945
Editora
Birkhauser