Glauber dynamics in the continuum via generating functionals evolution
Mathematical Physics
2012-07-23 v2 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.1105.2721,
title = {Glauber dynamics in the continuum via generating functionals evolution},
author = {Dmitri L. Finkelshtein and Yuri G. Kondratiev and Maria João Oliveira},
journal= {arXiv preprint arXiv:1105.2721},
year = {2012}
}
Comments
24 pages