From deterministic dynamics to kinetic phenomena

TL;DR

This paper explores how a one-dimensional Hamiltonian particle system exhibits various kinetic behaviors, from ballistic to localized, depending on energy, and links these regimes to thermodynamic states and heat conduction properties.

Contribution

It introduces a detailed analysis of kinetic regimes in a 1D Hamiltonian system and connects these regimes to thermodynamic and transport properties, revealing new insights.

Findings

Identification of different kinetic regimes based on energy levels

Relationship between kinetic regimes and thermodynamic states

Discussion of heat conduction mechanisms in the model

Abstract

We investigate a one-dimenisonal Hamiltonian system that describes a system of particles interacting through short-range repulsive potentials. Depending on the particle mean energy, $\epsilon$, the system demonstrates a spectrum of kinetic regimes, characterized by their transport properties ranging from ballistic motion to localized oscillations through anomalous diffusion regimes. We etsablish relationships between the observed kinetic regimes and the "thermodynamic" states of the system. The nature of heat conduction in the proposed model is discussed.