Comment on ``A simple one-dimensional model of heat conduction which obeys Fourier's law''

TL;DR

This paper discusses conflicting findings in the literature regarding thermal conductivity in one-dimensional systems, highlighting inconsistencies and disagreements with previous studies and their implications for Fourier's law.

Contribution

It critically analyzes recent claims of finite thermal conductivity in 1D systems, clarifying contradictions and inconsistencies in prior research.

Findings

Identifies contradictions between Garrido et al. and Prosen and Campbell's results.

Highlights inconsistencies in reported thermal conductivity values.

Points out disagreements with the authors' own previous results.

Abstract

A finite Green-Kubo thermal conductivity in a one-dimensional momentum conserving system was reported recently by Garrido et al [Phys. Rev. Lett., vol. 86, 5486 (2001)]. We first comment on the apparent contradiction with an earlier result of Prosen and Campbell [Phys. Rev. Lett., vol. 84, 2857 (2000)]. We then point out certain inconsistencies in their results and disagreements with our own results.