Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-09-29
J. Phys. A: Math. Gen. 32 (1999) 8365
Physics
Condensed Matter
Disordered Systems and Neural Networks
final version, 21 pages, 1 eps figure
Scientific paper
10.1088/0305-4470/32/48/301
The Thouless, Anderson, Palmer (TAP) approach to thermodynamics of mean field spin-glasses is generalised to dynamics. A method to compute the dynamical TAP equations is developed and applied to the p-spin spherical model. In this context we show to what extent the dynamics can be represented as an evolution in the free energy landscape. In particular the relationship between the long-time dynamics and the local properties of the free energy landscape shows up explicitly within this approach. Conversely, by an instantaneous normal modes analysis we show that the local properties of the energy landscape seen by the system during its dynamical evolution do not change qualitatively at the dynamical transition.
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