TY - JOUR
T1 - Perturbative interpretation of adaptive Thouless-Anderson-Palmer free energy
AU - Yasuda, Muneki
AU - Takahashi, Chako
AU - Tanaka, Kazuyuki
N1 - Funding Information:
This work was partially supported by CREST, Japan Science and Technology Agency and by JSPS KAKENHI (Grant Numbers 15K00330, 25280089, and 15H03699).
Publisher Copyright:
©2016 The Physical Society of Japan.
PY - 2016/7/15
Y1 - 2016/7/15
N2 - 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.
AB - 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.
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U2 - 10.7566/JPSJ.85.075001
DO - 10.7566/JPSJ.85.075001
M3 - Article
AN - SCOPUS:84978148236
SN - 0031-9015
VL - 85
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 7
M1 - 075001
ER -