Anomalous heat conduction in one dimensional momentum-conserving systems

TL;DR

This paper demonstrates that in one-dimensional momentum-conserving systems, thermal conductivity increases with system size following a power law, indicating anomalous heat conduction behavior.

Contribution

It provides a theoretical prediction that thermal conductivity diverges as a power law in system size for such systems, highlighting anomalous heat transport.

Findings

Thermal conductivity scales as L^{1/3} with system size.

Momentum conservation leads to divergence in thermal conductivity.

Heat conduction is anomalous, not normal, in these systems.

Abstract

We show that for one dimensional systems with momentum conservation, the thermal conductivity $\kappa$ generically diverges with system size as $L^{1/3}.$