Dresden 2006 – scientific programme

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DY: Dynamik und Statistische Physik

DY 42: Critical Phenomena and Phase Transitions II

DY 42.6: Talk

Thursday, March 30, 2006, 12:15–12:30, H\"UL 186

Numerical Results for the 3D Edwards-Anderson-Ising Model — •Andreas Nußbaumer, Elmar Bittner, and Wolfhard Janke — Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig

We investigate the three-dimensional Edwards-Anderson-Ising model using a combination of the multicanonical method for the overlap parameter q (multi-overlap) with parallel tempering in temperature. To obtain the barrier heights in the overlap parameter q an effective one-dimensional Markov chain is constructed reproducing the distribution of q. From the eigenvalue spectrum of the resulting transition matrix the autocorrelation time can be calculated, leading to the sought barrier height [1].

The results for different temperatures well below the freezing point are compared to theoretical predictions (“replica” theory and “droplet” theory).

[1] B.A. Berg, A. Billoire, W. Janke, Spin Glass Overlap Barriers in Three and Four Dimensions, Phys. Rev. B 61 (2000) 12143.