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arxiv: 1107.4450 · v1 · pith:7UKOMPL6new · submitted 2011-07-22 · 🧮 math-ph · math.MP

Kawasaki dynamics in the continuum via generating functionals evolution

classification 🧮 math-ph math.MP
keywords functionalsgeneratingdynamicsevolutionkawasakitermstimeapplication
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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.

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