Mixing of regular and chaotic orbits in beams

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Phase mixing of chaotic orbits exponentially distributes the orbits through their accessible phase space. This phenomenon, commonly called ''chaotic mixing'', stands in marked contrast to phase mixing of regular orbits which proceeds as a power law in time. It is inherently irreversible; hence, its associated e-folding time scale sets a condition on any process envisioned for emittance compensation. We numerically investigate phase mixing in the presence of space charge, distinguish between the evolution of regular and chaotic orbits, and discuss how phase mixing potentially influences macroscopic properties of high-brightness beams.

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75 Kilobytes pages

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al., Courtlandt L. Bohn et September 4, 2002.

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Phase mixing of chaotic orbits exponentially distributes the orbits through their accessible phase space. This phenomenon, commonly called ''chaotic mixing'', stands in marked contrast to phase mixing of regular orbits which proceeds as a power law in time. It is inherently irreversible; hence, its associated e-folding time scale sets a condition on any process envisioned for emittance compensation. We numerically investigate phase mixing in the presence of space charge, distinguish between the evolution of regular and chaotic orbits, and discuss how phase mixing potentially influences macroscopic properties of high-brightness beams.

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75 Kilobytes pages

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  • XXI International Linac Conference, Gyeongju (KR), 08/19/2002--08/23/2002

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  • Report No.: FERMILAB-Conf-02/196-T
  • Grant Number: AC02-76CH03000
  • Office of Scientific & Technical Information Report Number: 800714
  • Archival Resource Key: ark:/67531/metadc741318

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  • September 4, 2002

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  • Oct. 19, 2015, 7:39 p.m.

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  • April 1, 2016, 6:28 p.m.

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al., Courtlandt L. Bohn et. Mixing of regular and chaotic orbits in beams, article, September 4, 2002; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc741318/: accessed August 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.