Perturbative Interpretation of Adaptive Thouless-Anderson-Palmer Free Energy
Disordered Systems and Neural Networks
2018-05-14 v3 Statistical Mechanics
Abstract
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.
Keywords
Cite
@article{arxiv.1603.02463,
title = {Perturbative Interpretation of Adaptive Thouless-Anderson-Palmer Free Energy},
author = {Muneki Yasuda and Chako Takahashi and Kazuyuki Tanaka},
journal= {arXiv preprint arXiv:1603.02463},
year = {2018}
}