Expansion of a cold ion cloud

Physics

Scientific paper

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Cold Plasmas, Cosmic Plasma, Ion Motion, Ion Temperature, Plasma Clouds, Plasma Dynamics, Cauchy Problem, Cosmic Dust, Electric Fields, Mathematical Models, Self Consistent Fields

Scientific paper

A mathematical model of cosmological ion expansion is presented for a class of initial conditions, by studying the Cauchy problem for electrostatic fluid equations. The resulting motion is a type of free streaming of particles in a self-consistent electrostatic field. The exact solution obtained in planar geometry is compared with self-similar solutions and with previous investigations. Although the model is limited, it nevertheless represents an interweaving of electrostatics and fluid dynamics in the Lagrange description of fluid motion coupled by Poisson's equation.

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