Glauber dynamics in the continuum via generating functionals evolution

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

2011-05-13

arxiv.org/abs/1105.2721v2

Physics

Mathematical Physics

24 pages

Scientific paper

10.1007/s11785-011-0170-1

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.

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