Numerical Simulations of Spin Glass Systems

Details Numerical Simulations of Spin Glass Systems Numerical Simulations of Spin Glass Systems

1997-01-05

arxiv.org/abs/cond-mat/9701016v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Contribution to the volume: "Spin Glasses and Random Fields", edited by P. Young. 40 pages including 13 figures

Scientific paper

We discuss the status of Monte Carlo simulations of (mainly finite dimensional) spin glass systems. After a short historical note and a brief theoretical introduction we start by discussing the (crucial) 3D case: the warm phase, the critical point and the cold phase, the ultrametric structure and the out of equilibrium dynamics. With the same style we discuss the cases of 4D and 2D. In a few appendices we give some details about the definition of states and about the tempering Monte Carlo approach.

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