Fourier law in a momentum-conserving chain

TL;DR

This paper introduces solvable Hamiltonian models for heat conduction in one dimension, demonstrating that Fourier's law holds in these models regardless of momentum conservation, through analytical solutions and simulations.

Contribution

The paper presents a new family of analytically solvable Hamiltonian models for heat conduction that verify Fourier's law in one dimension, regardless of momentum conservation.

Findings

Fourier law is verified in all models

Models are analytically solvable in high temperature limit

Efficient simulations confirm analytical results

Abstract

We introduce a family of Hamiltonian models for heat conduction with and without momentum conservation. They are analytically solvable in the high temperature limit and can also be efficiently simulated. In all cases Fourier law is verified in one dimension.