DLR-KMS correspondence on lattice spin systems
Mathematical Physics
2023-08-16 v4 math.MP
Probability
Abstract
The Dobrushin-Lanford-Ruelle (DLR) condition and the classical Kubo-Martin-Schwinger (KMS) condition are considered in the context of classical lattice systems. In particular, we prove that these conditions are equivalent for the case of a lattice spin system with values in a compact symplectic manifold by showing that infinite volume Gibbs states are in bijection with KMS states.
Cite
@article{arxiv.2304.03082,
title = {DLR-KMS correspondence on lattice spin systems},
author = {Nicolò Drago and Christiaan J. F. van de Ven},
journal= {arXiv preprint arXiv:2304.03082},
year = {2023}
}
Comments
13 pages