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1969•The Physics of FluidsOpen access

Kinetic Theory of Inhomogeneous Systems

John C. Price

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Abstract

A theory is developed which treats the coupled equations of the various hierarchies as simultaneous equations in time. This scheme proceeds by successive approximations rather than a power series expansion in the small parameter ([nλd3]−1 in a plasma, nr03 in a Boltzmann gas). The theory is suitable for the derivation of equations for nonuniform and force driven systems. Examples are given for a plasma and a Boltzmann gas.

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A theory is developed which treats the coupled equations of the various hierarchies as simultaneous equations in time. This scheme proceeds by successive approximations rather than a power series expansion in the small parameter ([nλd3]−1 in a plasma, nr03 in a Boltzmann gas). The theory is suitable for the derivation of equations for nonuniform and force driven systems. Examples are given for a plasma and a Boltzmann gas.

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Available abstract

A theory is developed which treats the coupled equations of the various hierarchies as simultaneous equations in time. This scheme proceeds by successive approximations rather than a power series expansion in the small parameter ([nλd3]−1 in a plasma, nr03 in a Boltzmann gas). The theory is suitable for the derivation of equations for nonuniform and force driven systems. Examples are given for a plasma and a Boltzmann gas.

Key concepts: Physics, Kinetic theory, Boltzmann equation, Boltzmann constant, Plasma, Plasma modeling, Series (stratigraphy), Classical mechanics

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