Two populations mean-field monomer-dimer model
classification
🧮 math-ph
math.MP
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mean-fieldlimitmodelmonomer-dimerpopulationsanalysisattractiveconsidered
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A two populations mean-field monomer-dimer model including both hard-core and attractive interactions between dimers is considered. The pressure density in the thermodynamic limit is proved to satisfy a three-dimensional variational principle. A detailed analysis is made in the limit in which one population is much smaller than the other and a ferromagnetic mean-field phase transition is found.
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