Emanuele Mingione — Università di Bologna #
A monomer-dimer mean-field model with attractive potential#
A mean-field monomer-dimer model which includes an attractive interaction among both monomers and dimers is introduced and its exact solution rigorously derived.  The consistency equation characterising the monomer density is studied in the phasespace (h, J), where h tunes the monomer potential and J the attractive potential. The number of monomers 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.