Self-similar condensation of rotating magnetized self-gravitating isothermal filaments

Abstract

Ordinary differential equations describing the self-similar collapse of a rotating, magnetized, self-gravitating and isothermal filament are derived. Explicit homologous solutions are studied with special emphasis on the bifurcation that occurs at the magnetosonic critical point. It is shown that there is a critical value for the toroidal magnetic field slope at the origin above which no bifurcation occurs, the solution remains homologous, and below which the density and the poloidal magnetic field tend to zero at large radius (envelope) whereas the toroidal magnetic field and azimuthal velocity relax towards a constant value. A series of spatial profiles of density, velocity and magnetic field, potentially useful for comparison with numerical or observational studies, is obtained numerically and discussed.

Accepted for publication in A&A

References in corpus (3)

• Flows, Fragmentation, and Star Formation. I. Low-mass Stars in Taurus
• Shapes of Molecular Cloud Cores and the Filamentary Mode of Star Formation
• Why do starless cores appear more flattened than protostellar cores?

Cited by in corpus (19)

• Magnetic processes in a collapsing dense core. I Accretion and Ejection
• On the nature of star-forming filaments: I. Filament morphologies
• On the nature of star-forming filaments: II. Sub-filaments and velocities
• Line Profiles of Cores within Clusters: I. The Anatomy of a Filament
• Protostellar collapse induced by compression. II: rotation and fragmentation
• Are fibres in molecular cloud filaments real objects?
• Velocity field and star formation in the Horsehead nebula
• A quantification of the non-spherical geometry and accretion of collapsing cores
• Envelope Expansion with Core Collapse. III. Similarity Isothermal Shocks in a Magnetofluid
• Self-Similar Dynamics of a Magnetized Polytropic Gas
• Envelope Expansion with Core Collapse II. Quasi-Spherical Self-Similar Solutions for an Isothermal Magnetofluid
• Filament rotation in the California L1482 cloud
• Understanding the links among magnetic fields, filament, the bipolar bubble, and star formation in RCW57A using NIR polarimetry
• The origin of a universal filament width in molecular clouds
• Semi-analytical homologous solutions of the gravo-magnetic contraction
• Formation of Small-Scale Condensations in the Molecular Clouds via Thermal Instability
• Jump relations for magnetohydrodynamic shock waves in non-ideal gas flow
• The potential of discs from a "mean Green function"
• Gravitational stability of a cylindrical plasma with an azimuthal and an axial magnetic field