The exact solution of a mean-field monomer-dimer model with attractive potential
Università di Bologna, Department of Mathematics - piazza di Porta San Donato 5, 40127 Bologna, Italy
Received: 24 February 2014
Accepted: 23 March 2014
A monomer-dimer model with an attractive interaction that favors a phase separation between monomers and dimers is exactly solved in the mean-field case. With the identification of a suitable variational principle the free energy is computed in the large volume limit using the Heilmann-Lieb pure hard-core ansatz. The monomer density, that turns out to be the order parameter of the model, is shown to have a first-order phase transition along a coexistence curve.
PACS: 05.20.-y – Classical statistical mechanics / 05.70.Fh – Phase transitions: general studies / 02.50.-r – Probability theory, stochastic processes, and statistics
© EPLA, 2014