Effect of electron collisions on ion-acoustic waves and heat flow

DOI PDF 被引用文献1件
  • E. M. Epperlein
    Laboratory for Laser Energetics, University of Rochester, 250 East River Road, Rochester, New York 14623-1299

書誌事項

公開日
1994-01-01
DOI
  • 10.1063/1.870563
公開者
AIP Publishing

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説明

<jats:p>The damping rate of ion-acoustic waves in a plasma is calculated by numerically solving the electron Fokker–Planck and cold-ion fluid equations for arbitrary electron collisionality kλei and charge number Z. The damping rate reaches a maximum at kλei∼(Zme/mi)1/2, as predicted by fluid theory, but then remains above fluid-theory predictions for kλei≳(Zme/mi)1/2. This enhancement is most significant for high-Z plasmas, where the thermalization due to electron–electron (e–e) collisions is least effective. For kλei≫1, the damping approaches the collisionless Landau limit. The isotropic-Rosenbluth-potential approximation for e–e collisions gives rise to errors of up to 10% in the damping rates. A further approximation that involves adjusting the e–i angular scattering collision strength to simulate the contribution from e–e collisions is found to be similarly accurate. In the high-Z limit, there is a strong reduction in the effective thermal conductivity κ relative to the classical Spitzer–Härm value κSH for kλei≳10−4. For low-Z plasmas, this reduction only becomes significant for kλei≳10−2. By introducing a spatially modulated inverse-bremsstrahlung heating source and solving for the steady-state distribution function, a further reduction in the value of κ/κSH is obtained.</jats:p>

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