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EnglishA mean-field monomer-dimer model which includes an attractive interaction among both monomers and dimers is introduced and its exact solution rigorously derived. The Heilmann-Lieb method for the pure hard-core interacting case is used to compute upper and lower bounds for the pressure. The bounds are shown to coincide in the thermodynamic limit for a suitable choice of the monomer density m. The computation of the monomer density is achieved by solving a consistency equation in the phase space (h, J), where h tunes the monomer potential and J the attractive potential. The critical point and exponents are computed and show that the model is in the mean-field ferromagnetic universality class.
| Titolo: | A mean-field monomer-dimer model with attractive interaction: Exact solution and rigorous results | |
| Autori: | ||
| Data di pubblicazione: | 2014 | |
| Rivista: | ||
| Handle: | http://hdl.handle.net/11697/176477 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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