Anomalous Heat Conduction in One-Dimensional Momentum-Conserving Systems

Abstract

We show that for one-dimensional fluids the thermal conductivity generically diverges with system size $L$ as $L^{1/3}$, as a result of momentum conservation. Our results are consistent with the largest-scale numerical studies of two-component hard-particle systems. We suggest explanations for the apparent disagreement with studies on Fermi-Pasta-Ulam chains.