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DY: Fachverband Dynamik und Statistische Physik

DY 30: Poster II

DY 30.43: Poster

Thursday, March 29, 2007, 16:00–18:00, Poster D

Distribution of cavity fields of a m-component spin glass on a Bethe lattice — •Axel Braun and Timo Aspelmeier — Institut für theoretische Physik, Universität Göttingen

Using an extension of the cavity method to m-component vector spins on a Bethe lattice, we write down a self-consistent equation for the distribution of cavity fields, with m going to infinity. With it, we show that there is a replica-symmetric low-temperature phase. We extend these findings by calculating corrections for a finite number of spin components. The results of a numerical analysis confirm replica symmetry and the finite-size-exponent for the sample-to-sample-fluctuations of the free energy is obtained.