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Title: An Improved Analytical Model of the Local Interstellar Magnetic Field: The Extension to Compressibility

Abstract

A previously published analytical magnetohydrodynamic model for the local interstellar magnetic field in the vicinity of the heliopause (Röken et al. 2015) is extended from incompressible to compressible, yet predominantly subsonic flow, considering both isothermal and adiabatic equations of state. Exact expressions and suitable approximations for the density and the flow velocity are derived and discussed. In addition to the stationary induction equation, these expressions also satisfy the momentum balance equation along stream lines. The practical usefulness of the corresponding, still exact, analytical magnetic field solution is assessed by comparing it quantitatively to results from a fully self-consistent magnetohydrodynamic simulation of the interstellar magnetic field draping around the heliopause.

Authors:
;  [1];  [2]
  1. Ruhr-Universität Bochum, Fakultät für Physik und Astronomie, Institut für Theoretische Physik IV, Bochum (Germany)
  2. Universität Regensburg, Fakultät für Mathematik, Regensburg (Germany)
Publication Date:
OSTI Identifier:
22661227
Resource Type:
Journal Article
Resource Relation:
Journal Name: Astrophysical Journal; Journal Volume: 838; Journal Issue: 1; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; APPROXIMATIONS; COMPARATIVE EVALUATIONS; COMPRESSIBILITY; DENSITY; EQUATIONS OF STATE; HELIOSPHERE; INTERSTELLAR MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; SIMULATION; STREAMS; SUBSONIC FLOW; SUN; VELOCITY

Citation Formats

Kleimann, Jens, Fichtner, Horst, and Röken, Christian, E-mail: jk@tp4.rub.de, E-mail: hf@tp4.rub.de, E-mail: christian.roeken@mathematik.uni-regensburg.de. An Improved Analytical Model of the Local Interstellar Magnetic Field: The Extension to Compressibility. United States: N. p., 2017. Web. doi:10.3847/1538-4357/AA5F15.
Kleimann, Jens, Fichtner, Horst, & Röken, Christian, E-mail: jk@tp4.rub.de, E-mail: hf@tp4.rub.de, E-mail: christian.roeken@mathematik.uni-regensburg.de. An Improved Analytical Model of the Local Interstellar Magnetic Field: The Extension to Compressibility. United States. doi:10.3847/1538-4357/AA5F15.
Kleimann, Jens, Fichtner, Horst, and Röken, Christian, E-mail: jk@tp4.rub.de, E-mail: hf@tp4.rub.de, E-mail: christian.roeken@mathematik.uni-regensburg.de. Mon . "An Improved Analytical Model of the Local Interstellar Magnetic Field: The Extension to Compressibility". United States. doi:10.3847/1538-4357/AA5F15.
@article{osti_22661227,
title = {An Improved Analytical Model of the Local Interstellar Magnetic Field: The Extension to Compressibility},
author = {Kleimann, Jens and Fichtner, Horst and Röken, Christian, E-mail: jk@tp4.rub.de, E-mail: hf@tp4.rub.de, E-mail: christian.roeken@mathematik.uni-regensburg.de},
abstractNote = {A previously published analytical magnetohydrodynamic model for the local interstellar magnetic field in the vicinity of the heliopause (Röken et al. 2015) is extended from incompressible to compressible, yet predominantly subsonic flow, considering both isothermal and adiabatic equations of state. Exact expressions and suitable approximations for the density and the flow velocity are derived and discussed. In addition to the stationary induction equation, these expressions also satisfy the momentum balance equation along stream lines. The practical usefulness of the corresponding, still exact, analytical magnetic field solution is assessed by comparing it quantitatively to results from a fully self-consistent magnetohydrodynamic simulation of the interstellar magnetic field draping around the heliopause.},
doi = {10.3847/1538-4357/AA5F15},
journal = {Astrophysical Journal},
number = 1,
volume = 838,
place = {United States},
year = {Mon Mar 20 00:00:00 EDT 2017},
month = {Mon Mar 20 00:00:00 EDT 2017}
}