BOLTZMANN'S EQUATIONS WITH BREMSSTRAHLUNG.
Interim scientific rept.,
COLUMBIA UNIV NEW YORK PLASMA LAB
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The power density of bremsstrahlung radiation from a fully ionized plasma is developed from a binary collision analysis which includes the Debye shielding length in a consistent way. A cutoff in the minimum impact parameter is used which is completely consistent with a wide variety of velocity distribution functions including the Maxwellian equilibrium states. The power density is shown to vary linearly with the temperature for a Maxwellian plasma rather than with the square root of the temperature as predicted from Kramers model. Above 4700 Kelvin the power density from the formula predicts a higher rate of bremsstrahlung emission. These results are used to develop a tractable form for inelastic collision integrals in Boltzmanns equations. Suitable moments of these Boltzmanns equations give the radiation cooling equations which replace the fluid conservation equations for momentum and energy density. The cooling terms are evaluated for Maxwellian plasma. Author
- Plasma Physics and Magnetohydrodynamics