%0 Journal Article
%T A mean-field monomer-dimer model with random monomer activities. Exact solution and rigorous results
%A Diego Alberici
%A Pierluigi Contucci
%A Emanuele Mingione
%J Mathematics
%D 2014
%I arXiv
%R 10.1007/s10955-015-1306-x
%X 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.
%U http://arxiv.org/abs/1409.6192v2