Low-Variance Monte Carlo Simulation of Thermal Transport in Graphene
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Low-variance monte carlo.pdf
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609.17 KB
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Adobe PDF
Checksum (MD5)
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Author(s)
Landon, Colin Donald
Hadjiconstantinou, Nicolas
Date Issued
November 2012
Journal
Proceedings of the ASME 2012 International Mechanical Engineering Congress & Exposition IMECE2012
Publisher
American Society of Mechanical Engineers (ASME)
Citation
Landon, Colin, and Nicolas G. Hadjiconstantinou. “Low-Variance Monte Carlo Simulation of Thermal Transport in Graphene.” ASME 2012 International Mechanical Engineering Congress and Exposition, 9-15 November, 2012, Houston, Texas, USA, ASME, 2012. © 2012 by ASME
Version
Final published version
Abstract
ue to its unique thermal properties, graphene has generated considerable interest in the context of thermal management applications. In order to correctly treat heat transfer in this material, while still reaching device-level length and time scales, a kinetic description, such as the Boltzmann transport equation, is typically required. We present a Monte Carlo method for obtaining numerical solutions of this description that dramatically outperforms traditional Monte Carlo approaches by simulating only the deviation from equilibrium. We validate the simulation method using an analytical solution of the Boltzmann equation for long graphene nanoribbons; we also use this result to characterize the error associated with previous approximate solutions of this problem.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1115/IMECE2012-87957
