Cancellation properties in Hall magnetohydrodynamics with a strong guide magnetic field

We present a signed measure analysis of compressible Hall magnetohydrodynamic turbulence with an external guide field. Signed measure analysis allows us to characterize the scaling behavior of the sign-oscillating flow structures and their geometrical properties (fractal dimensions of structures). A...

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Detalles Bibliográficos
Autor principal: Dmitruk, Pablo Ariel
Publicado: 2013
Materias:
Geometrical property
Guide field
Guide magnetic field
Hall magnetohydrodynamics
Ion skin depth
Main process
Scaling behavior
Signed measure
Magnetic fields
Magnetohydrodynamics
Fractal dimension
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v88_n6_p_Martin
http://hdl.handle.net/20.500.12110/paper_15393755_v88_n6_p_Martin
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15393755_v88_n6_p_Martin
record_format dspace
spelling paper:paper_15393755_v88_n6_p_Martin2023-06-08T16:20:59Z Cancellation properties in Hall magnetohydrodynamics with a strong guide magnetic field Dmitruk, Pablo Ariel Geometrical property Guide field Guide magnetic field Hall magnetohydrodynamics Ion skin depth Main process Scaling behavior Signed measure Magnetic fields Magnetohydrodynamics Fractal dimension We present a signed measure analysis of compressible Hall magnetohydrodynamic turbulence with an external guide field. Signed measure analysis allows us to characterize the scaling behavior of the sign-oscillating flow structures and their geometrical properties (fractal dimensions of structures). A reduced numerical model, valid when a strong guide magnetic field is present, is used here. In order to discuss the effect of the Hall term, different values for the ion skin depth are considered in the simulations. Results show that as the Hall term is increased, the fractal dimension of the current and vorticity sheets decreases. This observation, together with previous analysis of the same fields, provides a comprehensive description of the effect of the Hall force on the formation of structures. Two main processes are identified, namely, the widening and unraveling of the sheets. © 2013 American Physical Society. Fil:Dmitruk, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v88_n6_p_Martin http://hdl.handle.net/20.500.12110/paper_15393755_v88_n6_p_Martin
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Geometrical property
Guide field
Guide magnetic field
Hall magnetohydrodynamics
Ion skin depth
Main process
Scaling behavior
Signed measure
Magnetic fields
Magnetohydrodynamics
Fractal dimension
spellingShingle Geometrical property
Guide field
Guide magnetic field
Hall magnetohydrodynamics
Ion skin depth
Main process
Scaling behavior
Signed measure
Magnetic fields
Magnetohydrodynamics
Fractal dimension
Dmitruk, Pablo Ariel
Cancellation properties in Hall magnetohydrodynamics with a strong guide magnetic field
topic_facet Geometrical property
Guide field
Guide magnetic field
Hall magnetohydrodynamics
Ion skin depth
Main process
Scaling behavior
Signed measure
Magnetic fields
Magnetohydrodynamics
Fractal dimension
description We present a signed measure analysis of compressible Hall magnetohydrodynamic turbulence with an external guide field. Signed measure analysis allows us to characterize the scaling behavior of the sign-oscillating flow structures and their geometrical properties (fractal dimensions of structures). A reduced numerical model, valid when a strong guide magnetic field is present, is used here. In order to discuss the effect of the Hall term, different values for the ion skin depth are considered in the simulations. Results show that as the Hall term is increased, the fractal dimension of the current and vorticity sheets decreases. This observation, together with previous analysis of the same fields, provides a comprehensive description of the effect of the Hall force on the formation of structures. Two main processes are identified, namely, the widening and unraveling of the sheets. © 2013 American Physical Society.
author Dmitruk, Pablo Ariel
author_facet Dmitruk, Pablo Ariel
author_sort Dmitruk, Pablo Ariel
title Cancellation properties in Hall magnetohydrodynamics with a strong guide magnetic field
title_short Cancellation properties in Hall magnetohydrodynamics with a strong guide magnetic field
title_full Cancellation properties in Hall magnetohydrodynamics with a strong guide magnetic field
title_fullStr Cancellation properties in Hall magnetohydrodynamics with a strong guide magnetic field
title_full_unstemmed Cancellation properties in Hall magnetohydrodynamics with a strong guide magnetic field
title_sort cancellation properties in hall magnetohydrodynamics with a strong guide magnetic field
publishDate 2013
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v88_n6_p_Martin
http://hdl.handle.net/20.500.12110/paper_15393755_v88_n6_p_Martin
work_keys_str_mv AT dmitrukpabloariel cancellationpropertiesinhallmagnetohydrodynamicswithastrongguidemagneticfield
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