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

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-βlattices.

19 pages, 8 figures

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Cited by in corpus (7)

• Phononic thermal properties of two-dimensional materials
• Crossover from ballistic to normal heat transport in the ${\varphi }^4$ lattice: If nonconservation of momentum is the reason, what is the mechanism?
• Effect of pressure on thermalization of one-dimensional nonlinear chains
• Anomalous temperature-dependent heat transport in one-dimensional momentum-conserving systems with soft-type interparticle interaction
• Universal scaling for recovery of Fourier's law in low-dimensional solids under momentum conservation
• Temperature dependent divergence of thermal conductivity in momentum conserving 1D lattice with asymmetric potential
• Unconventional Relaxation of Hydrodynamic Modes in Anharmonic Chains