Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation

Detalhes bibliográficos
Autor(a) principal: Haas, Fernando
Data de Publicação: 2022
Outros Autores: Vidmar, Rodrigo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/237949
Resumo: The one-dimensional Landau–Vlasov equation describing ultracold dilute bosonic gases in the mean-field collisionless regime under strong transverse confinement is analyzed using traditional methods of plasma physics. Time-independent, stationary solutions are found using a similar approach as for the Bernstein–Greene–Kruskal nonlinear plasma modes. Linear stationary waves similar to the Case–Van Kampen plasma normal modes are also shown to be available. The new bosonic solutions have no decaying or growth properties, in the same sense as the analog plasma solutions. The results are applied for real ultracold bosonic gases accessible in contemporary laboratory experiments.
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spelling Haas, FernandoVidmar, Rodrigo2022-04-29T04:41:13Z20222218-2004http://hdl.handle.net/10183/237949001140433The one-dimensional Landau–Vlasov equation describing ultracold dilute bosonic gases in the mean-field collisionless regime under strong transverse confinement is analyzed using traditional methods of plasma physics. Time-independent, stationary solutions are found using a similar approach as for the Bernstein–Greene–Kruskal nonlinear plasma modes. Linear stationary waves similar to the Case–Van Kampen plasma normal modes are also shown to be available. The new bosonic solutions have no decaying or growth properties, in the same sense as the analog plasma solutions. The results are applied for real ultracold bosonic gases accessible in contemporary laboratory experiments.application/pdfengAtoms. Basel. Vol. 10, no. 1 (Mar. 2022), 28, 10 p.Equacao de vlasovFísica de plasmasGases bosônicosCold dilute bosonic gasLandau–Vlasov equationBernstein–Greene–Kruskal modesCase–Van Kampen modesBernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov EquationEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT001140433.pdf.txt001140433.pdf.txtExtracted Texttext/plain28286http://www.lume.ufrgs.br/bitstream/10183/237949/2/001140433.pdf.txt5f33d1d07f57ff67c42f43117b9c0b6fMD52ORIGINAL001140433.pdfTexto completo (inglês)application/pdf298940http://www.lume.ufrgs.br/bitstream/10183/237949/1/001140433.pdff1beee3beaf3209c83914e4facb01bfaMD5110183/2379492023-07-20 03:33:13.983807oai:www.lume.ufrgs.br:10183/237949Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-07-20T06:33:13Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation
title Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation
spellingShingle Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation
Haas, Fernando
Equacao de vlasov
Física de plasmas
Gases bosônicos
Cold dilute bosonic gas
Landau–Vlasov equation
Bernstein–Greene–Kruskal modes
Case–Van Kampen modes
title_short Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation
title_full Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation
title_fullStr Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation
title_full_unstemmed Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation
title_sort Bernstein–Greene–Kruskal and Case–Van Kampen Modes for the Landau–Vlasov Equation
author Haas, Fernando
author_facet Haas, Fernando
Vidmar, Rodrigo
author_role author
author2 Vidmar, Rodrigo
author2_role author
dc.contributor.author.fl_str_mv Haas, Fernando
Vidmar, Rodrigo
dc.subject.por.fl_str_mv Equacao de vlasov
Física de plasmas
Gases bosônicos
topic Equacao de vlasov
Física de plasmas
Gases bosônicos
Cold dilute bosonic gas
Landau–Vlasov equation
Bernstein–Greene–Kruskal modes
Case–Van Kampen modes
dc.subject.eng.fl_str_mv Cold dilute bosonic gas
Landau–Vlasov equation
Bernstein–Greene–Kruskal modes
Case–Van Kampen modes
description The one-dimensional Landau–Vlasov equation describing ultracold dilute bosonic gases in the mean-field collisionless regime under strong transverse confinement is analyzed using traditional methods of plasma physics. Time-independent, stationary solutions are found using a similar approach as for the Bernstein–Greene–Kruskal nonlinear plasma modes. Linear stationary waves similar to the Case–Van Kampen plasma normal modes are also shown to be available. The new bosonic solutions have no decaying or growth properties, in the same sense as the analog plasma solutions. The results are applied for real ultracold bosonic gases accessible in contemporary laboratory experiments.
publishDate 2022
dc.date.accessioned.fl_str_mv 2022-04-29T04:41:13Z
dc.date.issued.fl_str_mv 2022
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dc.identifier.issn.pt_BR.fl_str_mv 2218-2004
dc.identifier.nrb.pt_BR.fl_str_mv 001140433
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dc.language.iso.fl_str_mv eng
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dc.relation.ispartof.pt_BR.fl_str_mv Atoms. Basel. Vol. 10, no. 1 (Mar. 2022), 28, 10 p.
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