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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7417
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dc.contributor.authorDhar, Abhishek-
dc.contributor.authorKundu, Anupam-
dc.contributor.authorKundu, Aritra-
dc.date.accessioned2020-01-24T08:55:51Z-
dc.date.available2020-01-24T08:55:51Z-
dc.date.issued2019-11-05-
dc.identifier.citationFrontiers in Physics, 2019, Vol.7, p25en_US
dc.identifier.issn2296-424X-
dc.identifier.urihttp://hdl.handle.net/2289/7417-
dc.descriptionOpen Accessen_US
dc.description.abstractIt 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.en_US
dc.language.isoenen_US
dc.publisherFrontiers Media SAen_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2019arXiv191104457D/abstracten_US
dc.relation.urihttps://arxiv.org/abs/1911.04457en_US
dc.relation.urihttps://doi.org/10.3389/fphy.2019.00159en_US
dc.rights2019 Frontiers Media SAen_US
dc.subjectfractional diffusion equationen_US
dc.subjectLevy walksen_US
dc.subjectanomalous heat transporten_US
dc.subjectfluctuating hydrodynamicsen_US
dc.subjectheat conductionen_US
dc.titleAnomalous Heat Transport in One Dimensional Systems: A Description Using Non-local Fractional-Type Diffusion Equationen_US
dc.typeArticleen_US
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