Heat conductivity in the presence of a quantized degree of freedom

TL;DR

This paper introduces a model with a quantized degree of freedom to study heat transport in quasi-one-dimensional systems, revealing unique temperature regimes and non-equipartition behavior not seen in point-particle models.

Contribution

It presents a novel model incorporating quantized degrees of freedom to analyze heat conductivity, uncovering distinct regimes and dynamical behaviors.

Findings

Three temperature regimes identified with distinct heat conductivity characteristics.

Intermediate regime exhibits a high temperature exponent $$ much greater than 1/2.

Non-equipartition behavior observed in the intermediate regime.

Abstract

We propose a model with a quantized degree of freedom to study the heat transport in quasi-one dimensional system. Our simulations reveal three distinct temperature regimes. In particular, the intermediate regime is characterized by heat conductivity with a temperature exponent $\gamma$ much greater than 1/2 that was generally found in systems with point-like particles. A dynamical investigation indicates the occurrence of non-equipartition behavior in this regime. Moreover, the corresponding Poincar\'e section also shows remarkably characteristic patterns, completely different from the cases of point-like particles.