Numerical Simulations of Finite Dimensional Spin Glasses Show a Mean Field like Behavior

Details Numerical Simulations of Finite Dimensional Spin Glasses Show a Mean Field like Behavior Numerical Simulations of Finite Dimensional Spin Glasses Show a Mean Field like Behavior

1997-09-15

arxiv.org/abs/cond-mat/9709165v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Invited talk given at ICMP 97, the Brisbane 1997 Mathematical Physics Conference

Scientific paper

I discuss results from numerical simulations of finite dimensional spin glass models, and show that they show all signatures of a mean field like behavior, basically coinciding with the one of the Parisi solution. I discuss the Binder cumulant, the probability distribution of the order parameter, the non self-averaging behavior. The determination of correlation function and of spatially blocked observables quantities helps in qualifying the behavior of the system.

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