Activated dynamics of the Ising p-spin disordered model with finite number of variables

Abstract

We study the dynamic and metastable properties of the fully connected Ising p-spin model with finite number of spins, with a focus on activated dynamics and trap-like characteristics. We propose a definition of trapping regions based on purely dynamical criteria. We compute trapping energies, trapping times and self-correlation functions and we analyse their statistical properties in comparison to the predictions of the well-known Bouchaud trap model.