Annual Progress Report. [Linear and nonlinear instability theory]

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A number of topics in nonlinear and linear instability theory are covered in this report. The nonlinear saturation of the dissipative trapped electron instability is evaluated and its amplitude compares well with existing experimental observations. The nonlinear saturation of the drift cyclotron loss-cone mode is carried out for a variety of empty loss-cone distributions. The saturation amplitude is predicted to be small and stable. An improved linear theory of the collisionless drift instability in sheared magnetic fields yields the surprising result that no instability occurs for a wide range of parameters. Finally, the bump-on-tail calculation is shown to be unchanged ... continued below

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Pages: 16

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Simon, A. & Catto, P.J. September 11, 1978.

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Description

A number of topics in nonlinear and linear instability theory are covered in this report. The nonlinear saturation of the dissipative trapped electron instability is evaluated and its amplitude compares well with existing experimental observations. The nonlinear saturation of the drift cyclotron loss-cone mode is carried out for a variety of empty loss-cone distributions. The saturation amplitude is predicted to be small and stable. An improved linear theory of the collisionless drift instability in sheared magnetic fields yields the surprising result that no instability occurs for a wide range of parameters. Finally, the bump-on-tail calculation is shown to be unchanged by some recent results of Case and Siewart, and a rough time scale is established for the transition from the O'Neil trapping regime to the final time-asymptotic result.

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Pages: 16

Notes

Dep. NTIS, PC A02/MF A01.

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  • Report No.: COO-3497-33
  • Grant Number: EY-76-S-02-3497
  • DOI: 10.2172/6503828 | External Link
  • Office of Scientific & Technical Information Report Number: 6503828
  • Archival Resource Key: ark:/67531/metadc1212545

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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Creation Date

  • September 11, 1978

Added to The UNT Digital Library

  • July 5, 2018, 11:11 p.m.

Description Last Updated

  • Sept. 4, 2018, 6:48 p.m.

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Simon, A. & Catto, P.J. Annual Progress Report. [Linear and nonlinear instability theory], report, September 11, 1978; United States. (digital.library.unt.edu/ark:/67531/metadc1212545/: accessed December 14, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.