The Mean Field Approximation


The use of product measures as a way of doing mean field theory is known since long. Here, this approach is situated in the context of hyperensembles. Doing so allows for a further generalisation of the mean field approximation. This Chapter discusses also the occurrence of phase transitions in mean field models and the implication that these models do not belong to the exponential family.


Ising Model Phase Transition Temperature Field Approximation Exponential Family Counting Factor 
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© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Physics DepartmentUniversity of AntwerpAntwerpBelgium

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