A mean-field monomer-dimer model with random monomer activities. Exact solution and rigorous results
Mathematical Physics
2015-09-02 v2 Statistical Mechanics
math.MP
Probability
Abstract
Independent random monomer activities are considered on a mean-feld monomer-dimer model. Under very general conditions on the randomness the model is shown to have a self-averaging pressure density that obeys a solvable variational principle. The dimer density is exactly computed in the thermodynamic limit and shown to be a smooth function.
Keywords
Cite
@article{arxiv.1409.6192,
title = {A mean-field monomer-dimer model with random monomer activities. Exact solution and rigorous results},
author = {Diego Alberici and Pierluigi Contucci and Emanuele Mingione},
journal= {arXiv preprint arXiv:1409.6192},
year = {2015}
}
Comments
20 pages