Thouless-Anderson-Palmer Approach to the Spherical p-Spin Spin Glass Model

Autor:	H. J. Sommers, Andrea Crisanti
Rok vydání:	1995
Předmět:	Physics Spin glass Condensed matter physics Replica Phase space Quantum mechanics General Engineering External field Statistical and Nonlinear Physics Multiplicity (chemistry) First order Condensed Matter::Disordered Systems and Neural Networks
Zdroj:	Journal de Physique I. 5:805-813
ISSN:	1286-4862 1155-4304
DOI:	10.1051/jp1:1995164
Popis:	We analyze the Thouless-Anderson-Palmer (TAP) approach to the spherical p-spin spin glass model in zero external field. The TAP free energy is derived by summing up all the relevant diagrams for N → ∞ of a diagrammatic expansion of the free energy. We find that if the multiplicity of the TAP solutions is taken into account, there is a first order transition in the order parameter at the critical temperature T c higher than that predicted by the replica solution T RSB , but in agreement with the results of dynamics. The transition is of geometrical nature since the new state has larger free energy but occupies the largest volume in phase space. The transition predicted by the replica calculation is also of geometrical nature since it corresponds to the states with smallest free energy with positive complexity.
Databáze:	OpenAIRE
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