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Heat current fluctuations and anomalous transport in low-dimensional carbon lattices

Ray, Ushnish and Limmer, David T. (2019) Heat current fluctuations and anomalous transport in low-dimensional carbon lattices. Physical Review B, 100 (24). Art. No. 241409. ISSN 2469-9950. https://resolver.caltech.edu/CaltechAUTHORS:20190916-100255736

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Abstract

Molecular dynamics simulations and methods of importance sampling are used to study the heat transport of low-dimensional carbon lattices. For both carbon nanotubes and graphene sheets, heat transport is found to be anomalous, violating Fourier's law of conduction with a system size dependent thermal conductivity and concomitant nonlinear temperature profiles. For carbon nanotubes, the thermal conductivity is found to increase as the square root of the length of the nanotube, while for graphene sheets the thermal conductivity is found to increase as the logarithm of the length of the sheet over the system sizes considered. The particular length dependence and nonlinear temperature profiles place carbon lattices into a universality class with nonlinear lattice models, and suggest that heat transport through carbon nanostructures is better described by a Levy walk rather than simple diffusion.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.100.241409DOIArticle
https://arxiv.org/abs/1906.11429arXivDiscussion Paper
ORCID:
AuthorORCID
Ray, Ushnish0000-0002-1850-4691
Limmer, David T.0000-0002-2766-0688
Additional Information:© 2019 American Physical Society. Received 29 June 2019; revised manuscript received 12 December 2019; published 30 December. The authors thank Garnet Chan and Kranthi Mandadapu for helpful discussions, U.R. thanks the U.S. National Science Foundation via Grant No. CHE-1665333, and D.T.L. thanks the Kavli foundation for a Kavli ENSI Heising-Simons fellowship and the UC Berkeley College of Chemistry for support.
Funders:
Funding AgencyGrant Number
NSFCHE-1665333
Kavli FoundationUNSPECIFIED
Heising-Simons FoundationUNSPECIFIED
University of California, BerkeleyUNSPECIFIED
Issue or Number:24
Record Number:CaltechAUTHORS:20190916-100255736
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190916-100255736
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98653
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:16 Sep 2019 17:10
Last Modified:16 Jan 2020 17:19

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