Glassy dynamics and nonextensive effects in the HMF model: the importance of initial conditions

TL;DR

This paper reviews the glassy dynamics and anomalies in the HMF model, emphasizing how initial conditions influence these behaviors and exploring connections to Tsallis nonextensive statistics.

Contribution

It highlights the importance of initial conditions in the glassy dynamics of the HMF model and discusses their relation to Tsallis statistics.

Findings

Glassy features depend on initial conditions

Robustness of anomalies under different initial states

Connections to nonextensive Tsallis statistics

Abstract

We review the anomalies of the HMF model and discuss the robusteness of the glassy features vs the initial conditions. Connections to Tsallis statistics are also addressed.