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Published December 15, 2019 | Submitted + Published
Journal Article Open

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

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.

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.

Attached Files

Published - PhysRevB.100.241409.pdf

Submitted - 1906.11429.pdf

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PhysRevB.100.241409.pdf
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August 19, 2023
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