Self-similar variables and the problem of nonlocal electron heat conductivity

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Self-similar solutions of the collisional electron kinetic equation are obtained for the plasmas with one (1D) and three (3D) dimensional plasma parameter inhomogeneities and arbitrary Z{sub eff}. For the plasma parameter profiles characterized by the ratio of the mean free path of thermal electrons with respect to electron-electron collisions, {gamma}{sub T}, to the scale length of electron temperature variation, L, one obtains a criterion for determining the effect that tail particles with motion of the non-diffusive type have on the electron heat conductivity. For these conditions it is shown that the use of a {open_quotes}symmetrized{close_quotes} kinetic equation for the investigation ... continued below

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31 p.

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Krasheninnikov, S.I. & Bakunin, O.G. October 1, 1993.

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Description

Self-similar solutions of the collisional electron kinetic equation are obtained for the plasmas with one (1D) and three (3D) dimensional plasma parameter inhomogeneities and arbitrary Z{sub eff}. For the plasma parameter profiles characterized by the ratio of the mean free path of thermal electrons with respect to electron-electron collisions, {gamma}{sub T}, to the scale length of electron temperature variation, L, one obtains a criterion for determining the effect that tail particles with motion of the non-diffusive type have on the electron heat conductivity. For these conditions it is shown that the use of a {open_quotes}symmetrized{close_quotes} kinetic equation for the investigation of the strong nonlocal effect of suprathermal electrons on the electron heat conductivity is only possible at sufficiently high Z{sub eff} (Z{sub eff} {ge} (L/{gamma}{sub T}){sup 1/2}). In the case of 3D inhomogeneous plasma (spherical symmetry), the effect of the tail electrons on the heat transport is less pronounced since they are spread across the radius r.

Physical Description

31 p.

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INIS; OSTI as DE94005826

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  • Other Information: PBD: Oct 1993

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  • Other: DE94005826
  • Report No.: PFC/RR--93-4
  • Grant Number: FG02-91ER54109
  • DOI: 10.2172/140426 | External Link
  • Office of Scientific & Technical Information Report Number: 140426
  • Archival Resource Key: ark:/67531/metadc623444

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  • October 1, 1993

Added to The UNT Digital Library

  • June 16, 2015, 7:43 a.m.

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  • Dec. 3, 2015, 7:50 p.m.

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Krasheninnikov, S.I. & Bakunin, O.G. Self-similar variables and the problem of nonlocal electron heat conductivity, report, October 1, 1993; United States. (digital.library.unt.edu/ark:/67531/metadc623444/: accessed May 25, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.