Thermodynamics for spatially inhomogeneous magnetization and Young-Gibbs measures
Probability
2016-08-24 v2 Mathematical Physics
math.MP
Abstract
We derive thermodynamic functionals for spatially inhomogeneous magnetization on a torus in the context of an Ising spin lattice model. We calculate the corresponding free energy and pressure (by applying an appropriate external field using a quadratic Kac potential) and show that they are related via a modified Legendre transform. The local properties of the infinite volume Gibbs measure, related to whether a macroscopic configuration is realized as a homogeneous state or as a mixture of pure states, are also studied by constructing the corresponding Young-Gibbs measures.
Keywords
Cite
@article{arxiv.1511.02118,
title = {Thermodynamics for spatially inhomogeneous magnetization and Young-Gibbs measures},
author = {A. Montino and N. Soprano-Loto and D. Tsagkarogiannis},
journal= {arXiv preprint arXiv:1511.02118},
year = {2016}
}