The Scattering of Phonons by Infinitely Long Quantum Dislocations Segments and the Generation of Thermal Transport Anisotropy in a Solid Threaded by Many Parallel Dislocations

Lund, Fernando; Scheihing-Hitschfeld, Bruno

doi:10.3390/nano10091711

Title: The Scattering of Phonons by Infinitely Long Quantum Dislocations Segments and the Generation of Thermal Transport Anisotropy in a Solid Threaded by Many Parallel Dislocations

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Abstract

A canonical quantization procedure is applied to the interaction of elastic waves—phonons—with infinitely long dislocations that can oscillate about an equilibrium, straight line, configuration. The interaction is implemented through the well-known Peach–Koehler force. For small dislocation excursions away from the equilibrium position, the quantum theory can be solved to all orders in the coupling constant. We study in detail the quantum excitations of the dislocation line and its interactions with phonons. The consequences for the drag on a dislocation caused by the phonon wind are pointed out. We compute the cross-section for phonons incident on the dislocation lines for an arbitrary angle of incidence. The consequences for thermal transport are explored, and we compare our results, involving a dynamic dislocation, with those of Klemens and Carruthers, involving a static dislocation. In our case, the relaxation time is inversely proportional to frequency, rather than directly proportional to frequency. As a consequence, the thermal transport anisotropy generated on a material by the presence of a highly-oriented array of dislocations is considerably more sensitive to the frequency of each propagating mode, and, therefore, to the temperature of the material.

Authors:

;

Publication Date:: 2020-08-29

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Nuclear Energy (NE); USDOE Office of Science (SC)

OSTI Identifier:: 1656667

Alternate Identifier(s):: OSTI ID: 1802204

Grant/Contract Number:: SC0011090

Resource Type:: Published Article

Journal Name:: Nanomaterials

Additional Journal Information:: Journal Name: Nanomaterials Journal Volume: 10 Journal Issue: 9; Journal ID: ISSN 2079-4991

Publisher:: MDPI AG

Country of Publication:: Switzerland

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Chemistry; Science & Technology - Other Topics; Materials Science; Physics; thermal transport; dislocations; quantum field theory

Citation Formats


                    Lund, Fernando, and Scheihing-Hitschfeld, Bruno. The Scattering of Phonons by Infinitely Long Quantum Dislocations Segments and the Generation of Thermal Transport Anisotropy in a Solid Threaded by Many Parallel Dislocations.  Switzerland: N. p., 2020. 
Web.  doi:10.3390/nano10091711.

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                    Lund, Fernando, & Scheihing-Hitschfeld, Bruno. The Scattering of Phonons by Infinitely Long Quantum Dislocations Segments and the Generation of Thermal Transport Anisotropy in a Solid Threaded by Many Parallel Dislocations.  Switzerland.  https://doi.org/10.3390/nano10091711

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                    Lund, Fernando, and Scheihing-Hitschfeld, Bruno. Sat .  
"The Scattering of Phonons by Infinitely Long Quantum Dislocations Segments and the Generation of Thermal Transport Anisotropy in a Solid Threaded by Many Parallel Dislocations".  Switzerland.  https://doi.org/10.3390/nano10091711.

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@article{osti_1656667,

  title        = {The Scattering of Phonons by Infinitely Long Quantum Dislocations Segments and the Generation of Thermal Transport Anisotropy in a Solid Threaded by Many Parallel Dislocations},

  author       = {Lund, Fernando and Scheihing-Hitschfeld, Bruno},

  abstractNote = {A canonical quantization procedure is applied to the interaction of elastic waves—phonons—with infinitely long dislocations that can oscillate about an equilibrium, straight line, configuration. The interaction is implemented through the well-known Peach–Koehler force. For small dislocation excursions away from the equilibrium position, the quantum theory can be solved to all orders in the coupling constant. We study in detail the quantum excitations of the dislocation line and its interactions with phonons. The consequences for the drag on a dislocation caused by the phonon wind are pointed out. We compute the cross-section for phonons incident on the dislocation lines for an arbitrary angle of incidence. The consequences for thermal transport are explored, and we compare our results, involving a dynamic dislocation, with those of Klemens and Carruthers, involving a static dislocation. In our case, the relaxation time is inversely proportional to frequency, rather than directly proportional to frequency. As a consequence, the thermal transport anisotropy generated on a material by the presence of a highly-oriented array of dislocations is considerably more sensitive to the frequency of each propagating mode, and, therefore, to the temperature of the material.},

  doi          = {10.3390/nano10091711},

  journal      = {Nanomaterials},

  number       = 9,

  volume       = 10,

  place        = {Switzerland},

  year         = {2020},

  month        = {8}

}

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