Two populations mean-field monomer-dimer model

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.

12 pages, 2 figures

References in corpus (4)

• A mean-field monomer-dimer model with random monomer activities. Exact solution and rigorous results
• A Pfaffian formula for monomer-dimer partition functions
• Limit theorems for monomer-dimer mean-field models with attractive potential
• A cluster expansion approach to the Heilmann-Lieb liquid crystal model