Affiliations: [a] Institut für Theoretische Physik, Universität Leipzig, 04109 Leipzig, Germany. E-mail: wolfliard.janke@itp.uni-leipzig.de | [b] Department of Physics, The Florida State University, Tallahassee, FL 32306, USA. E-mail: berg@hep.fsu.edu | [c] CEA/Saclay, Service de Physique Théorique, 91191 Gif-snr-Yvette, France. E-mail: billoir@spht.saclay.cea.fr
Correspondence:
[2]
The address for manuscript correspondence: Wolfhard Janke, Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany. Phone: +49 341 9732 725. Fax: +49 341 9732 747. E-mail: woiniard.janke@itp.uni-leipzig.de.
Note: [1] Work partially supported by the German-Israel-Foundation (GIE-I-0438-145.07/95), the US Department of Energy (DOE-DE-FG02-97ER41022), and by the T3E computer-time grants p526 (CEA, Grenoble), bvpl01 (ZIB, Berlin), and hmz091 (NIC, Jülich).
Abstract: We present, results of recent, high statistics Monte Carlo studies of the Edwards-Anderson Ising spin-glass model in three and four dimensions. The simulations are based on a non-Boltzmann sampling technique, the multi-overlap algorithm which will be briefly reviewed. Physically we mainly discuss those properties of the probability density PJ(q) of the Parisi overlap parameter q which are difficult, to obtain with standard canonical Boltzmann sampling. In particular we focus on the free-energy barriers FBq which are visible in PJ(q) and the behavior of the tails of the averaged probability density.
Keywords: Spin glasses, Monte Carlo simulations, multi-overlap algorithm, free-energy barriers
