Two populations mean-field monomer-dimer model
Mathematical Physics
2018-04-04 v1 math.MP
Abstract
A two populations mean-field monomer-dimer model including both hard-core and attractive interactions between dimers is considered. The pressure density in the thermodynamic limit is proved to satisfy a three-dimensional variational principle. A detailed analysis is made in the limit in which one population is much smaller than the other and a ferromagnetic mean-field phase transition is found.
Keywords
Cite
@article{arxiv.1706.07356,
title = {Two populations mean-field monomer-dimer model},
author = {Diego Alberici and Emanuele Mingione},
journal= {arXiv preprint arXiv:1706.07356},
year = {2018}
}
Comments
12 pages, 2 figures