Dynamical phase transition in nonsymmetric spin glasses

Abstract

Non-symmetric spin glasses are spin models for which the pair interactions between the spin are random but not symmetric. By studying the time evolution of two configurations in a mean-field model, one finds a transition temperature T₀. For T>T₀, two different initial conditions end up by becoming identical after an infinite time. This means that the thermal noise is strong enough to eliminate the memory of the initial conditions. For T0, two different initial conditions never become identical.