Effect of dissipative processes on the evolution of a density perturbation in an expanding isotropic universe.

Physics

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Gauge-invariant equations are derived for a theory of gravitational stability, describing the evolution of irrotational perturbations in an isotropic universe of critical density filled with a dissipative gaseous medium. These equations reduce to a singularly perturbed third-order equation which is nonlinear in several parameters. The solutions of this third-order equation thus have bifurcation properties. This equation has a singular point, whose position on the time axis, t = ts, is determined by the dissipation characteristics of the system. Near the singular point, the system loses its dynamic stability, and condensations with comparatively low peculiar velocities undergo an anomalous growth. This effect is interpreted as the formation of dissipative structure in the expanding universe. One possible critical point which appears to be pertinent to the theory of galaxy formation is at t ≍ 1016s, where most of the mass of the baryon subsystem of the universe is in neutral hydrogen and helium. The effect of cold dark matter on the nature of a nonequilibrium phase transition in the baryon subsystem is analyzed.

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