Numerical study of the two-replica overlap of the 3D Edwards–Anderson Ising spin glass

摘要: Abstract We present results of recent high-statistics Monte Carlo simulations the Edwards–Anderson Ising spin-glass model in three dimensions. The study is based on a non-Boltzmann sampling technique, multi-self-overlap algorithm which specifically tailored for rare-event states. thus concentrate those properties are difficult to obtain with standard canonical Boltzmann such as free-energy barriers F B q probability densities P J ( ) Parisi overlap parameter and behavior tails disorder averaged density )=[ )] av . Our disagree mean-field predictions support extreme order statistics over many orders magnitude.