An analytic theory of self-propagating star formation

Statistics – Computation

Scientific paper

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Computational Astrophysics, Galactic Evolution, Galactic Structure, Self Propagation, Star Formation, Computerized Simulation, Diffusion Coefficient, Gas Density, Mass Distribution, Partial Differential Equations

Scientific paper

An analytic theory of self-propagating star formation is derived. The basic assumption is the smallness of the propagation length scale compared with typical galactic length scales. A system of non-linear partial differential equations results. It is shown that, in contrast to other models based on so-called reaction-diffusion equations, it is possible not only to include details of the physics of the interstellar medium, but also the dynamics of the galaxy consistently. A simple example is investigated to demonstrate the ability of the theory to produce spiral structure. An interesting analogy of the percolation phase transition of computer models and the first instability of the analytic theory is found.

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