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

Abstract

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.

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