Dynamic Evolution of a Quasi-Spherical General Polytropic Magnetofluid with Self-Gravity

Abstract

In various astrophysical contexts, we analyze self-similar behaviours of magnetohydrodynamic (MHD) evolution of a quasi-spherical polytropic magnetized gas under self-gravity with the specific entropy conserved along streamlines. In particular, this MHD model analysis frees the scaling parameter $n$ in the conventional polytropic self-similar transformation from the constraint of $n+\gamma =2$ with $\gamma$ being the polytropic index and therefore substantially generalizes earlier analysis results on polytropic gas dynamics that has a constant specific entropy everywhere in space at all time. On the basis of the self-similar nonlinear MHD ordinary differential equations, we examine behaviours of the magnetosonic critical curves, the MHD shock conditions, and various asymptotic solutions. We then construct global semi-complete self-similar MHD solutions using a combination of analytical and numerical means and indicate plausible astrophysical applications of these magnetized flow solutions with or without MHD shocks.

21 pages, 7 figures, accepted for publication in APSS

References in corpus (20)

• The Physics of Neutron Stars
• Enhanced Angular Momentum Transport in Accretion Disks
• Gravitational Collapse and Star Formation in Logotropic and Non-Isothermal Spheres
• Self-similar champagne flows in HII regions
• Generalized Collapse Solutions with Nonzero Initial Velocities for Star Formation in Molecular Cloud Cores
• Observational Constraints on the Self Interacting Dark Matter Scenario and the Growth of Supermassive Black Holes
• New Self-Similar Solutions of Polytropic Gas Dynamics
• Envelope Expansion with Core Collapse. I. Spherical Isothermal Similarity Solutions
• Stability of Dynamically Collapsing Gas Sphere
• Shocked similarity collapses and flows in star formation processes
• Self-gravitating fluid dynamics, unstabilities and solitons
• Forming supermassive black holes by accreting dark and baryon matter
• Envelope Expansion with Core Collapse. III. Similarity Isothermal Shocks in a Magnetofluid
• Spherical Isothermal Self-Similar Shock Flows
• Self-Similar Shocks in Polytropic Gas Flows around Star-Forming Regions
• Magnetohydrodynamic Rebound Shocks of Supernovae
• Self-Similar Dynamics of a Magnetized Polytropic Gas
• Self-Similar Dynamics of a Relativistically Hot Gas
• Envelope Expansion with Core Collapse II. Quasi-Spherical Self-Similar Solutions for an Isothermal Magnetofluid
• Self-Similar Shocks and Winds in Galaxy Clusters

Cited by in corpus (13)

• Magnetized massive stars as magnetar progenitors
• Global Collapses and Expansions in Star-Forming Clouds
• Starless Cloud Core L1517B in Envelope Expansion with Core Collapse
• Forming Protostars in Molecular Clouds with Shocked Envelope Expansion and Core Collapse
• Relativistic Self-similar Dynamic Collapses of Black Holes in General Polytropic Spherical Clouds
• Perturbation Analysis of a General Polytropic Homologously Collapsing Stellar Core
• Three-dimensional Hydrodynamic Instabilities in Stellar Core Collapses
• Dynamic Evolution Model of Isothermal Voids and Shocks
• Molecular Line Profiles of Collapsing Gas Clouds
• Intermediate-Mass Black Holes in Globular Clusters
• On the self-similar motion of a gravitating Chaplygin fluid
• Variable protostellar mass accretion rates in cloud cores
• Supermassive Black Holes in Galactic Bulges