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.

The exact solution of a mean-field monomer-dimer model with attractive potential

ALBERICI, DIEGO;CONTUCCI, PIERLUIGI;MINGIONE, EMANUELE
2014

Abstract

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.
Diego Alberici; Pierluigi Contucci; Emanuele Mingione
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/392742
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