Keyword: coherent-effects
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TUP06 Stochastic Cooling as Wiener Process ion, simulation, incoherent-effects, electron 37
 
  • N. Shurkhno
    FZJ, Jülich, Germany
 
  Traditional theoretical description of stochastic cooling process involves either ordinary differential equations for desired rms quantities or corresponding Fokker-Planck equations. Both approaches use different methods of derivation and seem independent, making transition from one to another quite an issue, incidentally entangling somewhat the basic physics underneath. On the other hand, treatment of the stochastic cooling as Wiener pro-cess and starting from the single-particle dynamics written in the form of Langevin equation seems to bring more clarity and integrity. Present work is an attempt to apply Wiener process formalism to the stochastic cooling in order to have a simple and consistent way of deriving its well-known equations.  
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DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-COOL2017-TUP06  
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