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- W1973485164 abstract "It has been known for some time that, when no magnetic field is present, transport coefficients have an extremal nature. In this paper, it is shown that transport coefficients in the presence of a magnetic field or an alternating electric field also exhibit an extremal property. A mini-max (saddle point) principle is obtained which is used to solve the first order Chapman-Enskog transport equation with a Fokker-Planck collision term for a fully ionized gas. The thermoelectric coefficients and the viscosity when an arbitrary magnetic field is present, and the ac conductivity for the case of no magnetic field are evaluated for a singly ionized two component gas to well within the accuracy justified by the basic equations (∼10%). It is emphasized that this variational formalism rests upon two simple general properties of the collision integral, and hence is capable of considerably wider application than the particular example offered in the present paper. The physical significance of the variational principles is briefly discussed, and they are related to the rate of entropy production and amount of entropy stored in the system." @default.
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- W1973485164 date "1962-04-01" @default.
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- W1973485164 title "A variational description of transport phenomena in a plasma" @default.
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- W1973485164 doi "https://doi.org/10.1016/0003-4916(62)90061-1" @default.
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