Hard-core collisional dynamics in the hamiltonian mean-field model

TL;DR

This paper investigates how adding a hard-core repulsive interaction to the Hamiltonian Mean-Field model affects its dynamics, phase diagram, and relaxation processes through numerical simulations.

Contribution

It introduces a modified model with hard-core interactions and demonstrates how this alters the system's relaxation and phase transition properties.

Findings

Violent relaxation outcomes are changed by the hard-core interaction.

The phase diagram is modified with a higher critical temperature.

Numerical scheme for simulating the modified dynamics is proposed.

Abstract

We consider a modification of the well studied Hamiltonian Mean-Field model by introducing a hard-core point-like repulsive interaction and propose a numerical integration scheme to integrate numerically its dynamics. Our results show that the outcome of the initial violent relaxation is altered, and also that the phase-diagram is modified with a critical temperature at a higher value than in the non-collisional counterpart.