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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Main Authors: Liao, Bolin, Zhou, Jiawei, Chen, Gang
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:en_US
Published: American Physical Society 2014
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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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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AT zhoujiawei generalizedtwotemperaturemodelforcoupledphononmagnondiffusion
AT chengang generalizedtwotemperaturemodelforcoupledphononmagnondiffusion