# Dresden 2006 – wissenschaftliches Programm

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# DF: Dielektrische Festkörper

## DF 6: Glass II (together with division ‘Dynamics and Statistical Physics’ [DY])

### DF 6.2: Vortrag

### Dienstag, 28. März 2006, 14:50–15:10, M{\"U}L Elch

**Sculpting the free energy landscape** — •Timo Aspelmeier^{1}, R. A. Blythe^{2}, A. J. Bray^{3}, and M. A. Moore^{3} — ^{1}Institut für Theoretische Physik, Universität Göttingen — ^{2}School of Physics, University of Edinburgh, UK — ^{3}School of Physics and Astronomy, University of Manchester, UK

The free energy landscape of the Ising spin glass is analysed using the TAP equations. It is found that local minima of the free energy and saddles always occur in pairs, and that the saddles always have exactly one unstable direction. We show that local minima, which are usually very hard to find numerically, can be found in abundance using an iterative algorithm which operates “on the edge of chaos”. We compare these results with the free energy landscape generated by the naive mean field equations of the spin glass and show that despite identical groundstates the free energy landscape at finite temperatures is fundamentally different from the TAP landscape.