Previous derivations of the kinetic equation for a completely ionized gas have proceeded under the following assumptions: (a) the system is spatially uniform, and (b) sufficient time has elapsed so that the higher distribution functions depend on time only through the one-particle distribution. A kinetic equation is derived which is not subject to these restrictions, and is valid for any system not too far from equilibrium.
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Ralph L. Guernsey (1962) studied this question.
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