Time evolution of a density discontinuity in the one-dimensional gravitational gas

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Big Bang Cosmology, Galactic Evolution, Gas Density, Gravitation Theory, Interstellar Gas, Maxwell-Boltzmann Density Function, Perturbation Theory, Time Dependence, Discontinuity, Inhomogeneity, Mathematical Models, Particle Diffusion, Velocity Distribution, Vlasov Equations

Scientific paper

Classical time-dependent perturbation theory is applied to the Vlassov-Poisson equations describing the one-dimensional gravitational gas. The initial conditions are an initial Maxwellian velocity distribution and a step-function discontinuity. It is shown that on top of the usual free-particle diffusion - smoothing out the initial density discontinuity - a density pulse and a counter-pulse propagate away from the original discontinuity. The results suggest that initial density discontinuities can seed the formation of inhomogenities in the evolution of a collisionless one-dimensional gravitational gas, a result which should be verified in three dimensions, to study the formation of inhomogeneities in galactic dynamics.

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