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

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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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Autores principales:	Dawson, S.P., Fontán, C.F.
Formato:	Artículo publishedVersion
Publicado:	1990
Materias:	Hydromagnetics Sun: solar wind
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_0004637X_v348_n2_p761_Dawson http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0004637X_v348_n2_p761_Dawson_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

id	I28-R145-paper_0004637X_v348_n2_p761_Dawson_oai
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spelling	I28-R145-paper_0004637X_v348_n2_p761_Dawson_oai2020-10-19 Dawson, S.P. Fontán, C.F. 1990 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. application/pdf http://hdl.handle.net/20.500.12110/paper_0004637X_v348_n2_p761_Dawson info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Astrophys. J. 1990;348(2):761-777 Hydromagnetics Sun: solar wind An analysis of unidimensional soliton gas models of magnetohydrodynamic turbulence in thf solar wind info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0004637X_v348_n2_p761_Dawson_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic	Hydromagnetics Sun: solar wind
spellingShingle	Hydromagnetics Sun: solar wind Dawson, S.P. Fontán, C.F. 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.
format	Artículo Artículo publishedVersion
author	Dawson, S.P. Fontán, C.F.
author_facet	Dawson, S.P. Fontán, C.F.
author_sort	Dawson, S.P.
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	http://hdl.handle.net/20.500.12110/paper_0004637X_v348_n2_p761_Dawson http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0004637X_v348_n2_p761_Dawson_oai
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An analysis of unidimensional soliton gas models of magnetohydrodynamic turbulence in thf solar wind

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