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} }
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…
2 Citations
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