Abstract
We present a two-fold approach for strongly inhomogeneous plasmas for which the Chapman-Enskog asymptotic expansion breaks down: First, a heuristic one: we solve the kinetic equation by an iterative algorithm, and obtain a non-local response to the local gradients of the local maxwellian distribution function. The other approach consists in resummation methods of the Chapman-Enskog expansion for the distribution function or for its velocity moments: we use Padé or Borel-Padé approximants, and obtain with the simplest ones delocalization formulas similar to those obtained by using the iterative algorithm. These formulas are of great potential use in any situation where strong temperature gradients occur (laser plasma interaction, stellar winds, cloud evaporation).
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Luciani, J.F., Mora, P. Resummation methods of the Chapman-Enskog expansion for a strongly inhomogeneous plasma. J Stat Phys 43, 281–302 (1986). https://doi.org/10.1007/BF01010582
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DOI: https://doi.org/10.1007/BF01010582