Limit theorems for monomer-dimer mean-field models with attractive potential
arXiv:1506.04241 · doi:10.1007/s00220-015-2543-1
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.
18 pages, 2 figures
References in corpus (4)
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- Central limit theorems, Lee-Yang zeros, and graph-counting polynomials
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- Disordered Monomer-Dimer model on Cylinder graphs
- Two populations mean-field monomer-dimer model
- Finite-size corrections for the attractive mean-field monomer-dimer model