| Issue |
J. Phys. I France
Volume 5, Number 7, July 1995
|
|
|---|---|---|
| Page(s) | 805 - 813 | |
| DOI | https://doi.org/10.1051/jp1:1995164 | |
J. Phys. I France 5 (1995) 805-813
Thouless-Anderson-Palmer Approach to the Spherical p-Spin Spin Glass Model
A. Crisanti1 and H.-J. Sommers21 Dipartimento di Fisica, Università "La Sapienza", 00185 Roma, Italy
2 Fachbereich Physik, Universität-Gesamthochschule Essen, 45141 Essen, Germany
(Received 20 February 1995, accepted 27 March 1995)
Abstract
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
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
higher than that predicted by the replica solution
, 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.
© Les Editions de Physique 1995