| Title |
Stochastic Cooling as Wiener Process |
| Authors |
- N. Shurkhno
FZJ, Jülich, Germany
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| Abstract |
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.
|
| Paper |
download TUP06.PDF [0.236 MB / 3 pages] |
| Poster |
download TUP06_POSTER.PDF [0.414 MB] |
| Export |
download ※ BibTeX
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※ EndNote |
| Conference |
COOL2017, Bonn, Germany |
| Series |
Workshop on Beam Cooling and Related Topics (11th) |
| Proceedings |
Link to full COOL2017 Proccedings |
| Session |
Poster Session |
| Date |
19-Sep-17 14:00–17:50 |
| Main Classification |
Stochastic Cooling |
| Keywords |
ion, simulation, coherent-effects, incoherent-effects, electron |
| Publisher |
JACoW, Geneva, Switzerland |
| Editors |
Volker RW Schaa (GSI, Darmstadt, Germany); Michaela Marx (DESY, Hamburg, Germany); Manuel Tilmont (SOLEIL, Gif-sur-Yvette, France) |
| ISBN |
978-3-95450-198-4 |
| Published |
January 2018 |
| Copyright |
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