Memory effects in superfluid vortex dynamics

Autores
Cataldo, Horacio Maximo; Jezek, Dora Marta
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The dissipative dynamics of a vortex line in a superfluid is investigated within the frame of a non-Markovian quantal Brownian motion model. Our starting point is a recently proposed interaction Hamiltonian between the vortex and the superfluid quasiparticle excitations, whis is generalized to incorporate the effect of scattering from fermion inpurities (3He atoms). Thus, a non-Markovian equation of motion for the mean value of the vortex position operator is derived within a weak-coupling approximation. Such an eqaution is shown to yield, in the Markovian and elastic scattering limits, a 3He contribution to the longitudinal friction coefficient equivalent to that arising from the Rayfield-Reif formula. Simultaneous Markov and elastic scattering limits are found, however, to be incompatible, since an unexpected breakdown of the Markovian approximation is detected at low cyclotron frequencies. Then, a non-Markovian expression for the longitudinal friction coefficient is derived and computed as a function of temperature and 3He concentration. Such calculations show that cyclotron frequencies within the range 0.01-0.03 ps -1 yield a very good agreement to the longitudinal friction figures computed from te Iordanskii and Rayfield-Reif formulas for pure 4He, up to temperatures near 1 K. A similar performance is found for nonvanishing 3He concentrations, where the comparison is also shown to be very favourable with respect to the available experimental data. Memory effects are shown to be weak and increasing with temperature and concentration.
Fil: Cataldo, Horacio Maximo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Jezek, Dora Marta. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Materia
3he-4he Mixtures
Mutual Friction
Vortex Dynamics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/75519
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/75519
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Memory effects in superfluid vortex dynamicsCataldo, Horacio MaximoJezek, Dora Marta3he-4he MixturesMutual FrictionVortex Dynamicshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The dissipative dynamics of a vortex line in a superfluid is investigated within the frame of a non-Markovian quantal Brownian motion model. Our starting point is a recently proposed interaction Hamiltonian between the vortex and the superfluid quasiparticle excitations, whis is generalized to incorporate the effect of scattering from fermion inpurities (3He atoms). Thus, a non-Markovian equation of motion for the mean value of the vortex position operator is derived within a weak-coupling approximation. Such an eqaution is shown to yield, in the Markovian and elastic scattering limits, a 3He contribution to the longitudinal friction coefficient equivalent to that arising from the Rayfield-Reif formula. Simultaneous Markov and elastic scattering limits are found, however, to be incompatible, since an unexpected breakdown of the Markovian approximation is detected at low cyclotron frequencies. Then, a non-Markovian expression for the longitudinal friction coefficient is derived and computed as a function of temperature and 3He concentration. Such calculations show that cyclotron frequencies within the range 0.01-0.03 ps -1 yield a very good agreement to the longitudinal friction figures computed from te Iordanskii and Rayfield-Reif formulas for pure 4He, up to temperatures near 1 K. A similar performance is found for nonvanishing 3He concentrations, where the comparison is also shown to be very favourable with respect to the available experimental data. Memory effects are shown to be weak and increasing with temperature and concentration.Fil: Cataldo, Horacio Maximo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Jezek, Dora Marta. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaSpringer/Plenum Publishers2004-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/75519Cataldo, Horacio Maximo; Jezek, Dora Marta; Memory effects in superfluid vortex dynamics; Springer/Plenum Publishers; Journal of Low Temperature Physics; 136; 3-4; 11-2004; 217-2390022-2291CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.springerlink.com/content/t450q2n824l50x68/info:eu-repo/semantics/altIdentifier/doi/10.1023/B:JOLT.0000038523.79225.75info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/cond-mat/0311179info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:58:00Zoai:ri.conicet.gov.ar:11336/75519instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:58:01.067CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Memory effects in superfluid vortex dynamics
title Memory effects in superfluid vortex dynamics
spellingShingle Memory effects in superfluid vortex dynamics
Cataldo, Horacio Maximo
3he-4he Mixtures
Mutual Friction
Vortex Dynamics
title_short Memory effects in superfluid vortex dynamics
title_full Memory effects in superfluid vortex dynamics
title_fullStr Memory effects in superfluid vortex dynamics
title_full_unstemmed Memory effects in superfluid vortex dynamics
title_sort Memory effects in superfluid vortex dynamics
dc.creator.none.fl_str_mv Cataldo, Horacio Maximo
Jezek, Dora Marta
author Cataldo, Horacio Maximo
author_facet Cataldo, Horacio Maximo
Jezek, Dora Marta
author_role author
author2 Jezek, Dora Marta
author2_role author
dc.subject.none.fl_str_mv 3he-4he Mixtures
Mutual Friction
Vortex Dynamics
topic 3he-4he Mixtures
Mutual Friction
Vortex Dynamics
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The dissipative dynamics of a vortex line in a superfluid is investigated within the frame of a non-Markovian quantal Brownian motion model. Our starting point is a recently proposed interaction Hamiltonian between the vortex and the superfluid quasiparticle excitations, whis is generalized to incorporate the effect of scattering from fermion inpurities (3He atoms). Thus, a non-Markovian equation of motion for the mean value of the vortex position operator is derived within a weak-coupling approximation. Such an eqaution is shown to yield, in the Markovian and elastic scattering limits, a 3He contribution to the longitudinal friction coefficient equivalent to that arising from the Rayfield-Reif formula. Simultaneous Markov and elastic scattering limits are found, however, to be incompatible, since an unexpected breakdown of the Markovian approximation is detected at low cyclotron frequencies. Then, a non-Markovian expression for the longitudinal friction coefficient is derived and computed as a function of temperature and 3He concentration. Such calculations show that cyclotron frequencies within the range 0.01-0.03 ps -1 yield a very good agreement to the longitudinal friction figures computed from te Iordanskii and Rayfield-Reif formulas for pure 4He, up to temperatures near 1 K. A similar performance is found for nonvanishing 3He concentrations, where the comparison is also shown to be very favourable with respect to the available experimental data. Memory effects are shown to be weak and increasing with temperature and concentration.
Fil: Cataldo, Horacio Maximo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Jezek, Dora Marta. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
description The dissipative dynamics of a vortex line in a superfluid is investigated within the frame of a non-Markovian quantal Brownian motion model. Our starting point is a recently proposed interaction Hamiltonian between the vortex and the superfluid quasiparticle excitations, whis is generalized to incorporate the effect of scattering from fermion inpurities (3He atoms). Thus, a non-Markovian equation of motion for the mean value of the vortex position operator is derived within a weak-coupling approximation. Such an eqaution is shown to yield, in the Markovian and elastic scattering limits, a 3He contribution to the longitudinal friction coefficient equivalent to that arising from the Rayfield-Reif formula. Simultaneous Markov and elastic scattering limits are found, however, to be incompatible, since an unexpected breakdown of the Markovian approximation is detected at low cyclotron frequencies. Then, a non-Markovian expression for the longitudinal friction coefficient is derived and computed as a function of temperature and 3He concentration. Such calculations show that cyclotron frequencies within the range 0.01-0.03 ps -1 yield a very good agreement to the longitudinal friction figures computed from te Iordanskii and Rayfield-Reif formulas for pure 4He, up to temperatures near 1 K. A similar performance is found for nonvanishing 3He concentrations, where the comparison is also shown to be very favourable with respect to the available experimental data. Memory effects are shown to be weak and increasing with temperature and concentration.
publishDate 2004
dc.date.none.fl_str_mv 2004-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/75519
Cataldo, Horacio Maximo; Jezek, Dora Marta; Memory effects in superfluid vortex dynamics; Springer/Plenum Publishers; Journal of Low Temperature Physics; 136; 3-4; 11-2004; 217-239
0022-2291
CONICET Digital
CONICET
url http://hdl.handle.net/11336/75519
identifier_str_mv Cataldo, Horacio Maximo; Jezek, Dora Marta; Memory effects in superfluid vortex dynamics; Springer/Plenum Publishers; Journal of Low Temperature Physics; 136; 3-4; 11-2004; 217-239
0022-2291
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.springerlink.com/content/t450q2n824l50x68/
info:eu-repo/semantics/altIdentifier/doi/10.1023/B:JOLT.0000038523.79225.75
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/cond-mat/0311179
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer/Plenum Publishers
publisher.none.fl_str_mv Springer/Plenum Publishers
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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