The number of monomers in a monomer–dimer mean-field model with an attractive potential fluctuates according to the central limit theorem when the parameters are outside the critical curve. At the critical point the model belongs to the same universality class of the mean-field ferromagnet. Along the critical curve the monomer and dimer phases coexist.
Limit Theorems for Monomer–Dimer Mean-Field Models with Attractive Potential / Alberici, Diego; Contucci, Pierluigi; Fedele, Micaela; Mingione, Emanuele. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 346:3(2016), pp. 781-799. [10.1007/s00220-015-2543-1]
Limit Theorems for Monomer–Dimer Mean-Field Models with Attractive Potential
ALBERICI, DIEGO;CONTUCCI, PIERLUIGI;FEDELE, MICAELA;MINGIONE, EMANUELE
2016
Abstract
The number of monomers in a monomer–dimer mean-field model with an attractive potential fluctuates according to the central limit theorem when the parameters are outside the critical curve. At the critical point the model belongs to the same universality class of the mean-field ferromagnet. Along the critical curve the monomer and dimer phases coexist.| File | Dimensione | Formato | |
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