Publisher's Synopsis
Excerpt from Notes on Charge-Neutral Self-Consistent Plasmas and Fields
These notes represent a variety of results all based on a charge neutral collisionless self - consistent model of a plasma of two species, electrons and ions, in an electromagnetic field. These requirements mean that we are dealing with two distribution functions each satisfying Boltzmann's equation without a collision term. The forces are the electromagnetic forces ruled by Maxwell's equations assuming the speed of light to be infinite. Thus the net charge is zero and there is no displacement current.
In Part I, SI the equations are reformulated to lead to an algorithm for finding a solution as a function of time. The limiting case of zero density is briefly considered in S3. In S4 the interesting case in which the mass ratio of the two particles is regarded as asymptotically small is studied with a view to determining the important length scales. Vital differences depending on the geometry of the fields are brought out. In S5 and S6 asymptotic properties are pursued. The most interesting result for the time dependent case, S6, is that in the zero pressure case we must have density proportional to field magnitude on each field line.
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