Gibbs Measures on Marked Configuration Spaces: Existence and Uniqueness
Mathematical Physics
2017-04-26 v2 math.MP
Probability
Abstract
We study equilibrium states of an infinite system of interacting particles in a Euclidean space. The particles bear `unbounded' spins with a given symmetric a priori distribution. The interaction between the particles is pairwise and splits into position-position and spin-spin parts. The position-position part is described by a superstable potential, and the spin-spin part is attractive and of finite range. Thermodynamic states of the system are defined as tempered Gibbs measures on the space of marked configurations. We derive sufficient conditions of the existence and uniqueness of these Gibbs measures.
Keywords
Cite
@article{arxiv.1503.06349,
title = {Gibbs Measures on Marked Configuration Spaces: Existence and Uniqueness},
author = {Diana Conache and Alexei Daletskii and Yuri Kondratiev and Tanja Pasurek},
journal= {arXiv preprint arXiv:1503.06349},
year = {2017}
}