Hydrodynamic heat transport in dielectric crystals in the collective limit and the drifting/driftless velocity conundrum
Sendra Molins, Lluc (Universitat Autònoma de Barcelona. Departament de Física)
Beardo Ricol, Albert (Universitat Autònoma de Barcelona. Departament de Física)
Bafaluy Bafaluy, Javier (Universitat Autònoma de Barcelona. Departament de Física)
Torres, Pol (Universitat Autònoma de Barcelona. Departament de Física)
Àlvarez Calafell, Francesc Xavier (Universitat Autònoma de Barcelona. Departament de Física)
Camacho Castro, Juan (Universitat Autònoma de Barcelona. Departament de Física)
Universitat Autònoma de Barcelona. Departament de Física

Date:	2022
Description:	10 pàg.
Abstract:	We apply a recently developed method for solving the linearized phonon Boltzmann equation to study the hydrodynamic thermal transport in dielectrics in the collective limit, i. e. , when normal collisions dominate resistive ones. The method recovers Guyer and Krumhansl results for a single Debye branch and extends them to general dispersion relations and branches. Specifically, we obtain explicit microscopic expressions for the phonon distribution and for the transport coefficients in this limit. We find that the phonon distribution differs from the commonly used displaced distribution in two terms: one accounting for viscous flow and another one which allows us to solve a long-standing issue on drifting and driftless second-sound velocities. Thus, the new method allows us to generalize previous results and fill some gaps on fundamental aspects of the collective limit through a simple mathematical formalism. We compare the hydrodynamic framework with previous models and discuss its limitations.
Grants:	Agencia Estatal de Investigación RTI2018-097876-B-C22
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Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Heat transfer ; Kinetic theory ; Lattice thermal conductivity ; Phonons ; Thermoelasticity ; Transport phenomena ; Semiconductors
Published in:	Physical review B, Vol. 106, issue 15 (October 2022) , art. 155301, ISSN 2469-9969

DOI: 10.1103/PhysRevB.106.155301

10 p, 426.3 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > Grup de Propietats de Transport a la Nanoescala
Articles > Research articles
Articles > Published articles