“Nonlinear dynamics for Ising spin systems”
Martedì 17 Marzo 2026, ore 17:00 - Aula 2AB40 - Mario Morellini (Università Roma 3)
Abstract
We will present a nonlinear exchange dynamics for Ising spin systems with arbitrary interactions, described by a quadratic Boltzmann-type equation that preserves the mean magnetization. In particular, we will discuss convergence to the Ising equilibrium and, for weak interactions, exponential relaxation in relative entropy, proved using a kinetic approach inspired by Kac’s program.
Based on joint work with Pietro Caputo.
