Perturbative Interpretation of Adaptive Thouless-Anderson-Palmer Free   Energy
  In conventional well-known derivation methods for the adaptive Thouless-Anderson-Palmer (TAP) free energy, special assumptions that are difficult to mathematically justify except in some mean-field models, must be made. Here, we present a new adaptive TAP free energy derivation method. Using this derivation technique, without any special assumptions, the adaptive TAP free energy can be simply obtained as a high-temperature expansion of the Gibbs free energy. 
Muneki Yasuda and Chako Takahashi and Kazuyuki Tanaka
cond-mat.dis-nn cond-mat.stat-mech