Friction force on a vortex due to the scattering of superfluid excitations in helium II

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The longitudinal friction acting on a vortex line in superfluid 4He is investigated within a simple model based on the analogy between such vortex dynamics and that of the quantal Brownian motion of a charged point particle in a uniform magnetic field. The scattering of superfluid quasiparticle exci...

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Autores principales: Cataldo, H.M., Jezek, D.M.
Formato: JOUR
Materias:
helium
article
elementary particle
force
friction
liquid
magnetic field
model
motion
quantum mechanics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_01631829_v65_n18_p1845231_Cataldo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_01631829_v65_n18_p1845231_Cataldo
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spelling todo:paper_01631829_v65_n18_p1845231_Cataldo2023-10-03T15:01:53Z Friction force on a vortex due to the scattering of superfluid excitations in helium II Cataldo, H.M. Jezek, D.M. helium article elementary particle force friction liquid magnetic field model motion quantum mechanics The longitudinal friction acting on a vortex line in superfluid 4He is investigated within a simple model based on the analogy between such vortex dynamics and that of the quantal Brownian motion of a charged point particle in a uniform magnetic field. The scattering of superfluid quasiparticle excitations by the vortex stems from a translationally invariant interaction potential which, expanded to first order in the vortex velocity operator, gives rise to vortex transitions between nearest Landau levels. The corresponding friction coefficient is shown to be, in the limit of elastic scattering (vanishing cyclotron frequency), equivalent to that arising from the Iordanskii formula. Proposing a simple functional form for the scattering amplitude, with only one adjustable parameter whose value is set in order to get agreement to the Iordanskii result for phonons, an excellent agreement is also found with the values derived from experimental data up to temperatures about 1.5 K. Finite values of the cyclotron frequency arising from recent theories are shown to yield similar results. The incidence of vortex-induced quasiparticle transitions on the friction process is estimated to be, in the roton dominated regime, about 50% of the value of the friction coefficient, ∼8% of which corresponds to roton-phonon transitions and ∼42% to roton R+↔R- ones. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01631829_v65_n18_p1845231_Cataldo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic helium
article
elementary particle
force
friction
liquid
magnetic field
model
motion
quantum mechanics
spellingShingle helium
article
elementary particle
force
friction
liquid
magnetic field
model
motion
quantum mechanics
Cataldo, H.M.
Jezek, D.M.
Friction force on a vortex due to the scattering of superfluid excitations in helium II
topic_facet helium
article
elementary particle
force
friction
liquid
magnetic field
model
motion
quantum mechanics
description The longitudinal friction acting on a vortex line in superfluid 4He is investigated within a simple model based on the analogy between such vortex dynamics and that of the quantal Brownian motion of a charged point particle in a uniform magnetic field. The scattering of superfluid quasiparticle excitations by the vortex stems from a translationally invariant interaction potential which, expanded to first order in the vortex velocity operator, gives rise to vortex transitions between nearest Landau levels. The corresponding friction coefficient is shown to be, in the limit of elastic scattering (vanishing cyclotron frequency), equivalent to that arising from the Iordanskii formula. Proposing a simple functional form for the scattering amplitude, with only one adjustable parameter whose value is set in order to get agreement to the Iordanskii result for phonons, an excellent agreement is also found with the values derived from experimental data up to temperatures about 1.5 K. Finite values of the cyclotron frequency arising from recent theories are shown to yield similar results. The incidence of vortex-induced quasiparticle transitions on the friction process is estimated to be, in the roton dominated regime, about 50% of the value of the friction coefficient, ∼8% of which corresponds to roton-phonon transitions and ∼42% to roton R+↔R- ones.
format JOUR
author Cataldo, H.M.
Jezek, D.M.
author_facet Cataldo, H.M.
Jezek, D.M.
author_sort Cataldo, H.M.
title Friction force on a vortex due to the scattering of superfluid excitations in helium II
title_short Friction force on a vortex due to the scattering of superfluid excitations in helium II
title_full Friction force on a vortex due to the scattering of superfluid excitations in helium II
title_fullStr Friction force on a vortex due to the scattering of superfluid excitations in helium II
title_full_unstemmed Friction force on a vortex due to the scattering of superfluid excitations in helium II
title_sort friction force on a vortex due to the scattering of superfluid excitations in helium ii
url http://hdl.handle.net/20.500.12110/paper_01631829_v65_n18_p1845231_Cataldo
work_keys_str_mv AT cataldohm frictionforceonavortexduetothescatteringofsuperfluidexcitationsinheliumii
AT jezekdm frictionforceonavortexduetothescatteringofsuperfluidexcitationsinheliumii
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