Heat conduction in one dimensional systems: Fourier law, chaos, and heat control

TL;DR

This paper reviews how microscopic dynamics influence heat conduction in one-dimensional systems, explores the link between anomalous conduction and diffusion, and discusses methods for controlling heat flow.

Contribution

It provides a concise overview of the relationship between microscopic properties and Fourier law, and examines heat flow control strategies in 1D systems.

Findings

Microscopic dynamics determine heat conduction behavior.

Anomalous diffusion is linked to anomalous heat conduction.

Heat flow can potentially be controlled through system properties.

Abstract

In this paper we give a brief review of the relation between microscopic dynamical properties and the Fourier law of heat conduction as well as the connection between anomalous conduction and anomalous diffusion. We then discuss the possibility to control the heat flow.