Pressure-induced recovery of Fourier's law in one dimensional momentum-conserving systems

TL;DR

This paper investigates how pressure can induce a transition from anomalous to normal heat conduction in one-dimensional momentum-conserving systems, highlighting the role of compressibility and fixed points in fluctuating hydrodynamics.

Contribution

It introduces a pressure-induced mechanism for restoring Fourier's law in 1D systems, supported by phenomenological models and observed in FPU-eta lattices.

Findings

Normal heat conduction models show Arrhenius and non-Arrhenius behaviors.

Pressure induces a crossover to ballistic fixed point in fluctuating hydrodynamics.

Compressibility plays a key role in restoring Fourier's law.

Abstract

We report the two typical models of normal heat conduction in one dimensional momentum-conserving systems. They show the Arrhenius and the non-Arrhenius temperature dependence. We construct the two corresponding phenomenologies, transition-state theory of thermally activated dissociation and the pressure-induced crossover between two fixed points in fluctuating hydrodynamics. Compressibility yields the ballistic fixed point, whose scaling is observed in FPU-\beta lattices.