# Relaxation dynamics of the Ising $p$-spin disordered model with finite number of variables

## TL;DR

This paper investigates the relaxation dynamics and metastable states of the finite-variable Ising p-spin model, analyzing trapping energies, times, and correlations to compare with trap model predictions.

## Contribution

It introduces a detailed analysis of the dynamic and metastable properties of the finite-variable Ising p-spin model, providing new insights into its relaxation behavior.

## Key findings

- Trapping energies and times follow specific statistical distributions.
- Self correlation functions reveal characteristic relaxation patterns.
- Results align with certain trap model predictions.

## Abstract

We study the dynamic and metastable properties of the fully connected Ising $p$-spin model with finite number of variables. We define trapping energies, trapping times and self correlation functions and we analyse their statistical properties in comparison to the predictions of trap models.