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29 March 2024
 
  » arxiv » 1509.2474

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Thermal conductivity in harmonic lattices with random collisions
Giada Basile ; Cédric Bernardin ; Milton Jara ; Tomasz Komorowski ; Stefano Olla ;
Date 8 Sep 2015
AbstractWe review recent rigorous mathematical results about the macroscopic behaviour of harmonic chains with the dynamics perturbed by a random exchange of velocities between nearest neighbor particles. The random exchange models the effects of nonlinearities of anharmonic chains and the resulting dynamics have similar macroscopic behaviour. In particular there is a superdiffusion of energy for unpinned acoustic chains. The corresponding evolution of the temperature profile is governed by a fractional heat equation. In non-acoustic chains we have normal diffusivity, even if momentum is conserved.
Source arXiv, 1509.2474
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