English

Limit theorems for monomer-dimer mean-field models with attractive potential

Mathematical Physics 2016-01-27 v1 Statistical Mechanics math.MP Probability

Abstract

The number of monomers, in a monomer-dimer mean-field model with an attractive potential, fluctuates according to the central limit theorem when the parameters are outside the critical curve. At the critical point the model belongs to the same universality class of the mean-field ferromagnet. Along the critical curve the monomer and dimer phases coexist.

Keywords

Cite

@article{arxiv.1506.04241,
  title  = {Limit theorems for monomer-dimer mean-field models with attractive potential},
  author = {Diego Alberici and Pierluigi Contucci and Micaela Fedele and Emanuele Mingione},
  journal= {arXiv preprint arXiv:1506.04241},
  year   = {2016}
}

Comments

18 pages, 2 figures

R2 v1 2026-06-22T09:53:02.431Z