Mpemba effect and anomalous relaxation in 1D and 2D many body Ising models*

Several out-of-equilibrium phenomena, such as the Mpemba and Kovacs effects, have gained interest in recent years. Though counter-intuitive, these effects can pave the way to useful applications, such as precooling strategies for faster heating. These phenomena have been shown to happen in granular gasses, spin glasses, and colloidal systems. Moreover, a Mpemba-like effect has also been found in water.

In this talk, we compare these anomalous relaxation behaviors in one- and two-dimensional Ising models, with an emphasis in the differences induced by the spontaneous symmetry breaking in 2D. We check the robustness of our results by considering different local dynamics.