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 / Diego Alberici; Pierluigi Contucci; Emanuele Mingione. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - STAMPA. - 106:(2014), pp. 10001.1-10001.5. [10.1209/0295-5075/106/10001]
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
