Generalized Two-Temperature Model for Coupled Phonon-Magnon Diffusion
We generalize the two-temperature model [Sanders and Walton, Phys. Rev. B 15, 1489 (1977)] for coupled phonon-magnon diffusion to include the effect of the concurrent magnetization flow, with a particular emphasis on the thermal consequence of the magnon flow driven by a nonuniform magnetic field. W...
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American Physical Society
2014
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Online Access: | http://hdl.handle.net/1721.1/88472 https://orcid.org/0000-0002-0898-0803 https://orcid.org/0000-0002-3968-8530 https://orcid.org/0000-0002-9872-5688 |
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author | Liao, Bolin Zhou, Jiawei Chen, Gang |
author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Liao, Bolin Zhou, Jiawei Chen, Gang |
author_sort | Liao, Bolin |
collection | MIT |
description | We generalize the two-temperature model [Sanders and Walton, Phys. Rev. B 15, 1489 (1977)] for coupled phonon-magnon diffusion to include the effect of the concurrent magnetization flow, with a particular emphasis on the thermal consequence of the magnon flow driven by a nonuniform magnetic field. Working within the framework of the Boltzmann transport equation, we derive the constitutive equations for coupled phonon-magnon transport driven by gradients of both temperature and external magnetic fields, and the corresponding conservation laws. Our equations reduce to the original Sanders-Walton two-temperature model under a uniform external field, but predict a new magnon cooling effect driven by a nonuniform magnetic field in a homogeneous single-domain ferromagnet. We estimate the magnitude of the cooling effect in an yttrium iron garnet, and show it is within current experimental reach. With properly optimized materials, the predicted cooling effect can potentially supplement the conventional magnetocaloric effect in cryogenic applications in the future. |
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institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T08:44:09Z |
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spelling | mit-1721.1/884722022-09-23T14:10:20Z Generalized Two-Temperature Model for Coupled Phonon-Magnon Diffusion Liao, Bolin Zhou, Jiawei Chen, Gang Massachusetts Institute of Technology. Department of Mechanical Engineering Chen, Gang Liao, Bolin Zhou, Jiawei Chen, Gang We generalize the two-temperature model [Sanders and Walton, Phys. Rev. B 15, 1489 (1977)] for coupled phonon-magnon diffusion to include the effect of the concurrent magnetization flow, with a particular emphasis on the thermal consequence of the magnon flow driven by a nonuniform magnetic field. Working within the framework of the Boltzmann transport equation, we derive the constitutive equations for coupled phonon-magnon transport driven by gradients of both temperature and external magnetic fields, and the corresponding conservation laws. Our equations reduce to the original Sanders-Walton two-temperature model under a uniform external field, but predict a new magnon cooling effect driven by a nonuniform magnetic field in a homogeneous single-domain ferromagnet. We estimate the magnitude of the cooling effect in an yttrium iron garnet, and show it is within current experimental reach. With properly optimized materials, the predicted cooling effect can potentially supplement the conventional magnetocaloric effect in cryogenic applications in the future. United States. Dept. of Energy. Office of Basic Energy Sciences (Award DE-FG02-09ER46577) United States. Air Force Office of Scientific Research. Multidisciplinary University Research Initiative 2014-07-22T15:54:26Z 2014-07-22T15:54:26Z 2014-07 2014-03 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/88472 Liao, Bolin, Jiawei Zhou, and Gang Chen. “Generalized Two-Temperature Model for Coupled Phonon-Magnon Diffusion.” Physical Review Letters 113, no. 2 (July 2014). https://orcid.org/0000-0002-0898-0803 https://orcid.org/0000-0002-3968-8530 https://orcid.org/0000-0002-9872-5688 en_US http://dx.doi.org/10.1103/PhysRevLett.113.025902 Physical Review Letters Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf American Physical Society Bolin Liao |
spellingShingle | Liao, Bolin Zhou, Jiawei Chen, Gang Generalized Two-Temperature Model for Coupled Phonon-Magnon Diffusion |
title | Generalized Two-Temperature Model for Coupled Phonon-Magnon Diffusion |
title_full | Generalized Two-Temperature Model for Coupled Phonon-Magnon Diffusion |
title_fullStr | Generalized Two-Temperature Model for Coupled Phonon-Magnon Diffusion |
title_full_unstemmed | Generalized Two-Temperature Model for Coupled Phonon-Magnon Diffusion |
title_short | Generalized Two-Temperature Model for Coupled Phonon-Magnon Diffusion |
title_sort | generalized two temperature model for coupled phonon magnon diffusion |
url | http://hdl.handle.net/1721.1/88472 https://orcid.org/0000-0002-0898-0803 https://orcid.org/0000-0002-3968-8530 https://orcid.org/0000-0002-9872-5688 |
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