Tagged particle process in continuum with singular interactions
Mathematical Physics
2011-04-06 v4 Functional Analysis
math.MP
Abstract
By using Dirichlet form techniques we construct the dynamics of a tagged particle in an infinite particle environment of interacting particles for a large class of interaction potentials. In particular, we can treat interaction potentials having a singularity at the origin, non-trivial negative part and infinite range, as e.g., the Lennard-Jones potential.
Keywords
Cite
@article{arxiv.0804.4868,
title = {Tagged particle process in continuum with singular interactions},
author = {Torben Fattler and Martin Grothaus},
journal= {arXiv preprint arXiv:0804.4868},
year = {2011}
}
Comments
27 pages, proof for conservativity added, tightened presentation