Conceptual foundation of the Fokker-Planck approach to space-charge effects

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An rms-mismatched beam can evolve rapidly to a configuration of quasiequilibrium under the influence of space-charge forces. As sit evolves, its emittance grows and a diffuse halo forms. The beam's distribution function accounts for all the complicated dynamics. Unfortunately, the distribution function is difficult to calculate in as much as the physics lies at the interface between classical mechanics and thermodynamics. This paper presents the foundation for a statistical theory of the dynamics of nonequilibrium space-charge-dominated beams. Within certain approximations, the theory takes on a Fokker-Planck form. Key questions arise concerning the nature of the dynamical friction and diffusion in ... continued below

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151 KILOBYTES pages

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Bohn, C.L. July 1, 1996.

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Description

An rms-mismatched beam can evolve rapidly to a configuration of quasiequilibrium under the influence of space-charge forces. As sit evolves, its emittance grows and a diffuse halo forms. The beam's distribution function accounts for all the complicated dynamics. Unfortunately, the distribution function is difficult to calculate in as much as the physics lies at the interface between classical mechanics and thermodynamics. This paper presents the foundation for a statistical theory of the dynamics of nonequilibrium space-charge-dominated beams. Within certain approximations, the theory takes on a Fokker-Planck form. Key questions arise concerning the nature of the dynamical friction and diffusion in the beam's phase space and of the quasiequilibrium configuration that ensues.

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151 KILOBYTES pages

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INIS; OSTI as DE96006244

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  • Other Information: Supercedes Report DE96006244; PBD: 1 Jul 1996

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  • Other: DE96006244
  • Report No.: DOE/ER/40150--308
  • Report No.: CEBAF-PR-96-006
  • Report No.: ON:DE96006244
  • Grant Number: AC05-84ER40150
  • DOI: 10.2172/270605 | External Link
  • Office of Scientific & Technical Information Report Number: 270605
  • Archival Resource Key: ark:/67531/metadc670019

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  • July 1, 1996

Added to The UNT Digital Library

  • June 29, 2015, 9:42 p.m.

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  • Feb. 17, 2017, 6:13 p.m.

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Bohn, C.L. Conceptual foundation of the Fokker-Planck approach to space-charge effects, report, July 1, 1996; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc670019/: accessed December 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.