Fragmentation of Cosmologically Collapsed Layers

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Galaxies: Formation, Hydrodynamics: Fragmentation, Isothermal Gas Layer

Scientific paper

The fragmentation and dynamics of pancake-like collapsed layers are discussed. The fragmentation theory for an isothermal gas layer is extended to the case of the transverse expansion or contraction of a layer with two components. The expansion of a layer suppresses the growth of a perturbation and the contraction enhances the perturbation. It is shown that the growth rate increases exponentially with the deceleration of expansion. The critical wave number for the instability is almost constant for various rates of the expansion. The linear interaction of a perturbation between the cooled layer and a hot layer composed of dark matter changes the growth rate. The growth rate of the cooled layer is superior to the maximum value of the growth rate in isolated cases when the scale heights of both layers are not so different. This fragmentation theory is applied to cosmologically collapsed layers that were calculated by numerical simulations. The cooled layers produced by t he collapse with transverse expansion have nearly the same density and temperature over a wide scale range of primordial density fluctuations, lambda = 1-20 {Mpc}. The mass of fragmentation is determined by evaluating the growth time of the perturbation and the accretion time of the cooled layer. The typical masses of the fragmentation are distributed over a narrow mass scale of 107-8 MO . A large dynamic range of the calculation, 106-8, is required to simulate the central region of the collapsed layer for the fluctuation wavelength, lambda = 10 {Mpc}. A calculation method with extremely large dynamic range is also presented.

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