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Limit Theorems for Monomer–Dimer Mean-Field Models with Attractive Potential

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Bologna, piazza di Porta San Donato 5, Bologna, Italy

    Diego Alberici, Pierluigi Contucci, Micaela Fedele & Emanuele Mingione

Authors
  1. Diego Alberici
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  2. Pierluigi Contucci
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  3. Micaela Fedele
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  4. Emanuele Mingione
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Corresponding author

Correspondence to Pierluigi Contucci.

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Communicated by H. Spohn

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Alberici, D., Contucci, P., Fedele, M. et al. Limit Theorems for Monomer–Dimer Mean-Field Models with Attractive Potential. Commun. Math. Phys. 346, 781–799 (2016). https://doi.org/10.1007/s00220-015-2543-1

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  • DOI: https://doi.org/10.1007/s00220-015-2543-1

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