Title:	Anomalous Heat Transport in One Dimensional Systems: A Description Using Non-local Fractional-Type Diffusion Equation
Authors:	Dhar, Abhishek Kundu, Anupam Kundu, Aritra
Keywords:	fractional diffusion equation Levy walks anomalous heat transport fluctuating hydrodynamics heat conduction
Issue Date:	5-Nov-2019
Publisher:	Frontiers Media SA
Citation:	Frontiers in Physics, 2019, Vol.7, p25
Abstract:	It has been observed in many numerical simulations, experiments and from various theoretical treatments that heat transport in one-dimensional systems of interacting particles cannot be described by the phenomenological Fourier's law. The picture that has emerged from studies over the last few years is that Fourier's law gets replaced by a spatially non-local linear equation wherein the current at a point gets contributions from the temperature gradients in other parts of the system. Correspondingly the usual heat diffusion equation gets replaced by a non-local fractional-type diffusion equation. In this review, we describe the various theoretical approaches which lead to this framework and also discuss recent progress on this problem.
Description:	Open Access
URI:	http://hdl.handle.net/2289/7417
ISSN:	2296-424X
Alternative Location:	https://ui.adsabs.harvard.edu/abs/2019arXiv191104457D/abstract https://arxiv.org/abs/1911.04457 https://doi.org/10.3389/fphy.2019.00159
Copyright:	2019 Frontiers Media SA
Appears in Collections:	Research Papers (TP)

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