Low-Variance Monte Carlo Simulation of Thermal Transport in Graphene
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 tran...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Society of Mechanical Engineers (ASME)
2017
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| Online Access: | http://hdl.handle.net/1721.1/108591 https://orcid.org/0000-0002-1670-2264 |
| _version_ | 1811069938867109888 |
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| author | Landon, Colin Donald Hadjiconstantinou, Nicolas |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Landon, Colin Donald Hadjiconstantinou, Nicolas |
| author_sort | Landon, Colin Donald |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T08:19:16Z |
| format | Article |
| id | mit-1721.1/108591 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:19:16Z |
| publishDate | 2017 |
| publisher | American Society of Mechanical Engineers (ASME) |
| record_format | dspace |
| spelling | mit-1721.1/1085912022-09-30T09:01:36Z Low-Variance Monte Carlo Simulation of Thermal Transport in Graphene Landon, Colin Donald Hadjiconstantinou, Nicolas Massachusetts Institute of Technology. Department of Mechanical Engineering Landon, Colin Donald Hadjiconstantinou, Nicolas 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. National Science Foundation (U.S.). Graduate Research Fellowship Program American Society for Engineering Education. National Defense Science and Engineering Graduate Fellowship Singapore-MIT Alliance 2017-05-02T17:16:13Z 2017-05-02T17:16:13Z 2012-11 Article http://purl.org/eprint/type/ConferencePaper 978-0-7918-4525-7 http://hdl.handle.net/1721.1/108591 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 https://orcid.org/0000-0002-1670-2264 en_US http://dx.doi.org/10.1115/IMECE2012-87957 Proceedings of the ASME 2012 International Mechanical Engineering Congress & Exposition IMECE2012 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. application/pdf American Society of Mechanical Engineers (ASME) American Society of Mechanical Engineers (ASME) |
| spellingShingle | Landon, Colin Donald Hadjiconstantinou, Nicolas Low-Variance Monte Carlo Simulation of Thermal Transport in Graphene |
| title | Low-Variance Monte Carlo Simulation of Thermal Transport in Graphene |
| title_full | Low-Variance Monte Carlo Simulation of Thermal Transport in Graphene |
| title_fullStr | Low-Variance Monte Carlo Simulation of Thermal Transport in Graphene |
| title_full_unstemmed | Low-Variance Monte Carlo Simulation of Thermal Transport in Graphene |
| title_short | Low-Variance Monte Carlo Simulation of Thermal Transport in Graphene |
| title_sort | low variance monte carlo simulation of thermal transport in graphene |
| url | http://hdl.handle.net/1721.1/108591 https://orcid.org/0000-0002-1670-2264 |
| work_keys_str_mv | AT landoncolindonald lowvariancemontecarlosimulationofthermaltransportingraphene AT hadjiconstantinounicolas lowvariancemontecarlosimulationofthermaltransportingraphene |