The exact motion of a one-dimensional system interacting through the electrostatic field is followed using a fast computer. The properties of the model are discussed and related to the three-dimensional plasma. New results are presented for the drag and diffusion of test particles and the space and time correlations of the charge density. These ``experiments'' agree with the conventional theory. In an appendix is derived the kinetic equation for this model to first order in the small parameter, the reciprocal of the number of particles in the Debye length. To first order a velocity distribution is constant in time.
The one-dimensional motion of a number of plane charged sheets is followed with an electronic computer. The energy in the electric field is computed for cases where the number of particles in a Debye length vary from 1/4 to 10. These results agree with an exact theory given by Lenard. The Fourier components of the field energy and of the square of the current density are measured by averaging over a long time interval. These results are compared with values predicted by the linearized Vlasov equation.
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