Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-12-02
EPL 97, 50008 (2012)
Physics
Condensed Matter
Statistical Mechanics
7 pages, 1 figure
Scientific paper
10.1209/0295-5075/97/50008
Given an arbitrary finite dimensional Hamiltonian H_0, we consider the model H=H_0+\Delta H, where \Delta H 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 H_0 gives rise to short-range correlations and, furthermore, when H_0 has negative couplings, first-order phase transitions and inverse transition phenomena may take place even when only two-body interactions are present. The dependence from a non uniform external field and finite size effects are also explicitly calculated. Partially, these results were derived long ago by using min-max principles but remained almost unknown.
No associations
LandOfFree
Mean-field models with short-range correlations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Mean-field models with short-range correlations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mean-field models with short-range correlations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-139863