 A nonextensive thermostatistical approach to the Haïssinski theory of accelerator beamsT.D. Frank and S. Mongkolsakulvong Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 19, 4828-4838 Abstract: We show that bunch-particle interactions in accelerator beams via wakefields as predicted by the Haïssinski theory can be described by the nonextensive entropy proposed by Tsallis for the nonextensivity parameter ν=2. A new method to analyze the Haïssinski problem is proposed that yields explicit expressions for Haïssinski distributions, the length of particle bunches, and the Tsallis entropy. Using this approach we generalize the Haïssinski case ν=2 to ν≠2. In doing so, we develop a Haïssinski theory that can address a more general class of bunch-particle interactions. We derive a new class of Haïssinski distributions and we show that bunch lengthening and shortening may be due to variations in the degree of nonextensivity involved in bunch-particle interactions. Keywords: Haïssinski distributions; Nonextensive entropy; Accelerator beams; Bunch lengthening (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:19:p:4828-4838 DOI: 10.1016/j.physa.2008.04.020 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
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