Mean-field models with short-range correlations

@article{Ostilli2011MeanfieldMW,
  title={Mean-field models with short-range correlations},
  author={Massimo Ostilli},
  journal={EPL (Europhysics Letters)},
  year={2011},
  volume={97},
  pages={50008}
}
  • M. Ostilli
  • Published 2 December 2011
  • Mathematics
  • EPL (Europhysics Letters)
Given an arbitrary finite dimensional Hamiltonian H0, we consider the model H=H0+ΔH, where ΔH is a generic fully connected interaction. By using the strong law of large numbers, we easily prove that, for all such models, a generalized Curie-Weiss mean-field equation holds. Unlike traditional mean-field models, the term H0 gives rise to short-range correlations and, furthermore, when H0 has negative couplings, first-order phase transitions and inverse transition phenomena may take place even… 
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