Kawasaki dynamics in the continuum via generating functionals evolution

Details Kawasaki dynamics in the continuum via generating functionals evolution Kawasaki dynamics in the continuum via generating functionals evolution

2011-07-22

arxiv.org/abs/1107.4450v1

Methods Funct. Anal. Topology, vol. 18, no. 1, 2012, pp. 55-67

Physics

Mathematical Physics

13 pages

Scientific paper

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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