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| FRWAUD02 |
Fokker-Planck Approach to the Description of Transverse Stochastic Cooling |
emittance, kicker, pick-up, betatron |
170 |
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- F. Nolden
GSI, Darmstadt, Germany
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A Fokker-Planck model of transverse stochastic cooling (without feedback through the beam) is presented, which relies on moderately simplified assumptions about the underlying cooling system. The equilibrium emittance distribution turns out to be always exponential. Furthermore, if the initial distribution is already exponential, then the solution of the fully time-dependent Fokker-Planck equation remains exponential. The average emittance decays with a rate towards equilibrium, which is completely consistent with the classical van der Meer rate, including undesired mixing, desired mixing and thermal noise.
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Slides FRWAUD02 [1.088 MB]
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