An analysis of unidimensional soliton gas models of magnetohydrodynamic turbulence in thf solar wind

We compare two statistical models of Alfvén solitons whose evolution is described by the one-dimensional derivative nonlinear Schrödinger (DNLS) equation, contrasting their predictions with solar wind observations. Both distribution functions give the same mean number of solitons. This confirms a pr...

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Detalles Bibliográficos
Autor principal: Ponce Dawson, Silvina
Publicado: 1990
Materias:
Hydromagnetics
Sun: solar wind
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0004637X_v348_n2_p761_Dawson
http://hdl.handle.net/20.500.12110/paper_0004637X_v348_n2_p761_Dawson
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0004637X_v348_n2_p761_Dawson
record_format dspace
spelling paper:paper_0004637X_v348_n2_p761_Dawson2023-06-08T14:28:29Z An analysis of unidimensional soliton gas models of magnetohydrodynamic turbulence in thf solar wind Ponce Dawson, Silvina Hydromagnetics Sun: solar wind We compare two statistical models of Alfvén solitons whose evolution is described by the one-dimensional derivative nonlinear Schrödinger (DNLS) equation, contrasting their predictions with solar wind observations. Both distribution functions give the same mean number of solitons. This confirms a previous calculation of Ponce Dawson and Ferro FontÁn of the number of solitons which evolve from an arbitrary initial condition. One of the distribution functions follows an exponential law with soliton energy and the other follows a power law; the latter gives better results than the former. Within these models, we can explain the variation of the observed spectra (spectral index, outer scale, and maximum value) with the heliocentric distance. This variation is related to the radial dependence of the mean level of modulational instability in the medium. Concerning the spectral index, our calculation improves that of Ovenden, Shah, and Schwartz, because an average over the soliton phases is included. Fil:Dawson, S.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1990 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0004637X_v348_n2_p761_Dawson http://hdl.handle.net/20.500.12110/paper_0004637X_v348_n2_p761_Dawson
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Hydromagnetics
Sun: solar wind
spellingShingle Hydromagnetics
Sun: solar wind
Ponce Dawson, Silvina
An analysis of unidimensional soliton gas models of magnetohydrodynamic turbulence in thf solar wind
topic_facet Hydromagnetics
Sun: solar wind
description We compare two statistical models of Alfvén solitons whose evolution is described by the one-dimensional derivative nonlinear Schrödinger (DNLS) equation, contrasting their predictions with solar wind observations. Both distribution functions give the same mean number of solitons. This confirms a previous calculation of Ponce Dawson and Ferro FontÁn of the number of solitons which evolve from an arbitrary initial condition. One of the distribution functions follows an exponential law with soliton energy and the other follows a power law; the latter gives better results than the former. Within these models, we can explain the variation of the observed spectra (spectral index, outer scale, and maximum value) with the heliocentric distance. This variation is related to the radial dependence of the mean level of modulational instability in the medium. Concerning the spectral index, our calculation improves that of Ovenden, Shah, and Schwartz, because an average over the soliton phases is included.
author Ponce Dawson, Silvina
author_facet Ponce Dawson, Silvina
author_sort Ponce Dawson, Silvina
title An analysis of unidimensional soliton gas models of magnetohydrodynamic turbulence in thf solar wind
title_short An analysis of unidimensional soliton gas models of magnetohydrodynamic turbulence in thf solar wind
title_full An analysis of unidimensional soliton gas models of magnetohydrodynamic turbulence in thf solar wind
title_fullStr An analysis of unidimensional soliton gas models of magnetohydrodynamic turbulence in thf solar wind
title_full_unstemmed An analysis of unidimensional soliton gas models of magnetohydrodynamic turbulence in thf solar wind
title_sort analysis of unidimensional soliton gas models of magnetohydrodynamic turbulence in thf solar wind
publishDate 1990
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0004637X_v348_n2_p761_Dawson
http://hdl.handle.net/20.500.12110/paper_0004637X_v348_n2_p761_Dawson
work_keys_str_mv AT poncedawsonsilvina ananalysisofunidimensionalsolitongasmodelsofmagnetohydrodynamicturbulenceinthfsolarwind
AT poncedawsonsilvina analysisofunidimensionalsolitongasmodelsofmagnetohydrodynamicturbulenceinthfsolarwind
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