Multi-overlap simulations of spin glasses

Abstract

We present results of recent high-statistics Monte Carlo simulations of the Edwards-Anderson Ising spin-glass model in three and four dimensions. The study is based on a non-Boltzmann sampling technique, the multi-overlap algorithm which is specifically tailored for sampling rare-event states. We thus concentrate on those properties which are difficult to obtain with standard canonical Boltzmann sampling such as the free-energy barriers F^q_B in the probability density P_J(q) of the Parisi overlap parameter q and the behaviour of the tails of the disorder averaged density P(q) = [P_J(q)]_av.

14 pages, Latex, 18 Postscript figures, to be published in NIC Series - Publication Series of the John von Neumann Institute for Computing (NIC)

References in corpus (8)

• Universality Classes for Extreme Value Statistics
• Universal Fluctuations in Correlated Systems
• Phase Transition in the Three-Dimensional $\pm J$ Ising Spin Glass
• Magnetic fluctuations in the classical XY model: the origin of an exponential tail in a complex system
• Multi-Overlap Simulations of the $3d$ Edwards-Anderson Ising Spin Glass
• Grundstate Properties of the 3D Ising Spin Glass
• Spin glass overlap barriers in three and four dimensions
• About the Functional Form of the Parisi Overlap Distribution for the Three-Dimensional Edwards-Anderson Ising Spin Glass