An Introduction to Plasma Physics by W. B. Thompson (Auth.)

By W. B. Thompson (Auth.)

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Extra resources for An Introduction to Plasma Physics

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S. 9) For example, if a field is confined to a conducting slab infinite in area, b u t of thickness D, t h e appropriate fundamental solutions to eq. 8) are Bn = Bno sin n I — j J e x p ( - y w i ) where 1 477-μσ / D \ 2 r:- n* 2 X 2 and t h e decay time τ ; ~ (4πμσ/ο )(Ό[2π) . For numerical estimates we need t h e Gaussian conductivity a(sec _1 ) = 9 x l 0 1 1 a ( m h o c m _ 1 ) I n copper σ = 5 x IO5 mho c m - 1 = 4-5 x 10 17 s e c - 1 MAGNETOHYDRODYNAMICS I 45 and rq ~ 2x 1(H 9 sec while TJ ~ 06 2 Z 2 sec.

1. The Lorentz force and the effective electric field. Force exerted on a charge g sharing velocity v of the fluid gE* = ? [ E + (v/c) x B] temperature or more frequently entropy, is constant and a reduced equation of state directly relating pressure and density may be used. 5) Ut * where y( > 1) is the polytropic index, or the ratio of specific heats. If no such reduction is possible, the full equation of state must be used and the hydrodynamic equations supplemented by an expression determining the transport of internal energy, such as DT Cv + V divv+ZV2T = 0 Dt the energy transport equation for a perfect gas, where Cv is the volume specific heat, and K the thermal conductivity.

Although the discharge persisted for a considerable time, the electron temperature remained modest, 25 eV, as determined from the excitation of highly ionized impurity atoms OV and NV, and knowing the energy content and the rate of energy input, the energy containment time is found a t 100 μ sec.

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