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TY - CONF AU - Shurkhno, N. ED - Schaa, Volker RW ED - Marx, Michaela ED - Tilmont, Manuel TI - Stochastic Cooling as Wiener Process J2 - Proc. of COOL2017, Bonn, Germany, 18-22 September 2017 C1 - Bonn, Germany T2 - Workshop on Beam Cooling and Related Topics T3 - 11 LA - english AB - 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. PB - JACoW CP - Geneva, Switzerland SP - 37 EP - 39 KW - ion KW - simulation KW - coherent-effects KW - incoherent-effects KW - electron DA - 2018/01 PY - 2018 SN - 978-3-95450-198-4 DO - 10.18429/JACoW-COOL2017-TUP06 UR - http://jacow.org/cool2017/papers/tup06.pdf ER -