Dynamical heat channels

TL;DR

This paper investigates heat conduction in a one-dimensional dynamical channel with noninteracting particles, emphasizing how diffusion properties influence thermodynamic behavior, especially under anomalous diffusion conditions.

Contribution

It introduces a framework linking diffusion characteristics of particles to thermodynamic properties in a 1D heat conduction model, focusing on anomalous diffusion regimes.

Findings

Thermodynamic properties can be derived from particle diffusion behavior.

Anomalous diffusion significantly affects heat conduction.

The model provides insights into non-standard heat transport mechanisms.

Abstract

We consider heat conduction in a 1D dynamical channel. The channel consists of a group of noninteracting particles, which move between two heat baths according to some dynamical process. We show that the essential thermodynamic properties of the heat channel can be evaluated from the diffusion properties of the underlying particles. Emphasis is put on the conduction under anomalous diffusion conditions. \\{\bf PACS number}: 05.40.+j, 05.45.ac, 05.60.cd