Renormalized dissipation in plasmas with finite collisionality

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Description

A nonlinear truncation procedure for Fourier-Hermite expansion of Boltzmann-type plasma equations is presented which eliminates fine velocity scale, taking into account its effect on coarser scales. The truncated system is then transformed back to (x, v) space which results in a renormalized Boltzmann equation. The resulting equation may allow for coarser velocity space resolution in kinetic simulations while reducing to the original Boltzmann equation when fine velocity scales are resolved. To illustrate the procedure, renormalized equations are derived for one dimensional electrostatic plasmas in which collisions are modeled by the Lenard-Bernstein operator.

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7 p.

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Parker, S. E. & Carati, D. May 1, 1995.

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This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by the UNT Libraries Government Documents Department to the UNT Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 29 times. More information about this report can be viewed below.

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  • Parker, S. E. Princeton Plasma Physics Lab., NJ (United States)
  • Carati, D. Universite Libre de Bruxelles (Belgium). Service de Physique Statistique

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Description

A nonlinear truncation procedure for Fourier-Hermite expansion of Boltzmann-type plasma equations is presented which eliminates fine velocity scale, taking into account its effect on coarser scales. The truncated system is then transformed back to (x, v) space which results in a renormalized Boltzmann equation. The resulting equation may allow for coarser velocity space resolution in kinetic simulations while reducing to the original Boltzmann equation when fine velocity scales are resolved. To illustrate the procedure, renormalized equations are derived for one dimensional electrostatic plasmas in which collisions are modeled by the Lenard-Bernstein operator.

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7 p.

Notes

INIS; OSTI as DE95011715

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  • Other Information: PBD: May 1995

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  • May 1, 1995

Added to The UNT Digital Library

  • Aug. 14, 2015, 8:43 a.m.

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  • Aug. 24, 2021, 1:10 p.m.

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Parker, S. E. & Carati, D. Renormalized dissipation in plasmas with finite collisionality, report, May 1, 1995; Princeton, New Jersey. (https://digital.library.unt.edu/ark:/67531/metadc694757/: accessed June 16, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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