Self-similar spreading of a viscous, star-forming galactic disc

Mathematics – Probability

Scientific paper

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Disks, Galactic Evolution, Interstellar Matter, Kinematics, Milky Way Galaxy, Spreading, Star Formation, Viscous Flow, Angular Momentum, Chemical Evolution, Probability Distribution Functions, Radial Flow, Radial Velocity

Scientific paper

In a viscous star-forming thin disc in which both the kinematical viscosity and the star formation time-scale are proportional to radius, a self-similar solution exists. It describes an essentially exponential gaseous disc, whose radial scale-length grows with time. Matter flows preferentially outwards. A single parameter describes the shape of the evolving gas distribution - the efficiency of the star forming process. The pronounced galactic central gas depression is reproduced, provided this efficiency exceeds a certain limit. The location of the gas surface density maximum is moving outwards, too. Numerical simulations suggest that any viscous axisymmetric gas distribution approaches this self-similar solution quite quickly. The self-similar solution matches the galactic gas distribution indeed well. To represent the stellar profile would require a radially more extended gas disc than indicated by observations.

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