Fragmentation of filamentary molecular clouds with longitudinal and helical magnetic fields

Mathematics

Scientific paper

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Astronomical Models, Fragmentation, Hydrostatics, Interstellar Magnetic Fields, Magnetohydrodynamics, Molecular Clouds, Matrices (Mathematics), Numerical Integration, Perturbation Theory, Star Formation

Scientific paper

The dynamical instability of a self-gravitating magnetized filamentary cloud was investigated by means of a normal-mode analysis. The density distribution in equilibrium was assumed to be a function of the radial distance from the axis, rho0(r) = rhoc(1 + r 2/8 H2-2, where rhoc and H are model parameters specifying the density on the axis and the length scale, respectively; the magnetic field was assumed to have both longitudinal and azimuthal components with a strength of B0(r) is proportional to the square root of (rho0(r)). Our model filamentary cloud is unstable against both axisymmetric and non-axisymmetric perturbation. The growth rates and eigenfunctions of the unstable perturbations were obtained numerically as a function of the strength and configuration of the magnetic field. The most unstable perturbation is asixymmetric and its wavelength in units of H is shorter when the ratio of the magnetic pressure of the gas pressure is higher. This means that the filamentary cloud fragments into pieces with an apparently shorter interval when the magnetic field is stronger. The motion induced by the most unstable perturbation also depends on the magnetic field. When the z-component of the magnetic field is stronger, the fragment produced by the instability collapses faster in the z-direction than in the r-direction. We discuss the late stage of fragmentation.

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