Geodesic
Modeling the process of stochastic cooling using the Fokker-Planck equation. Designing of a stochastic cooling system for the Nuclotron
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2012), pp. 70-86 Cet article a éte moissonné depuis la source Math-Net.Ru

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The mathematical model of the algorithm for calculating the evolution of the particle distribution function in transverse phase space and function of the energy spread for the synchrotron with a stochastic cooling system using a notch filter technique is described. Simulation results for the distribution function and momentum spread of the proton and carbon beams in accelerator Nuclotron are presented. The description and working principle of the proposed construction of a stochastic cooling system based on assembly of the ring slot-coupler pickups are also described and a notch filter design and assembly of the entire cryo-vacuum system for installation at Nuclotron are given.
Keywords: stochastic cooling, equation accelerator.
Mots-clés : Fokker–Planck 
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     title = {Modeling the process of stochastic cooling using the {Fokker-Planck} equation. {Designing} of a stochastic cooling system for the {Nuclotron}},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
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A. O. Sidorin; G. V. Trubnikov; N. A. Shurkhno. Modeling the process of stochastic cooling using the Fokker-Planck equation. Designing of a stochastic cooling system for the Nuclotron. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 1 (2012), pp. 70-86. http://geodesic.mathdoc.fr/item/VSPUI_2012_1_a8/

[1] Nuclotron-based ion collider facility, Available: http://nica.jinr.ru

[2] Sisakian A. N., Sorin A. S., Trubnikov G. V. e. a., “The Project NICA/MPD at JINR: Search for the mixed phase of strongly interacting matter at Nuclotron-based ion collider facility”, XXIII Intern. Symposium on Lepton and Photon Interactions at High Energy (Daegu, Korea), 2007, LP07

[3] Mohl D., Petrucci G., Thorndahl L., van der Meer S., “Physics and Technique of Stochastic Cooling”, Phys. Rept., 58 (1980), 75–119 | DOI

[4] Smirnov A. A., Kovalenko A. D., “Nuclotron-superconducting accelerator of nuclei at LHE JINR (Creation, Operation, Development)”, Particles and Nuclei Letters, 1:VI (123) (2004), 11–40

[5] Agapov N. N., Butenko A. V., Trubnikov G. V. e. a., “Status of the Nuclotron. «Nuclotron-M» project”, Proc. of the IPAC'10 (Kyoto, Japan), 2010, 684–686

[6] Meshkov I., Seleznev V., Shurkhno N. e. a., “Stochastic cooling system prototype for Nuclotron”, Proc. of RuPAC'10 (Protvino), 2010, 73–76

[7] Goldberg D., Lambertson G., “Dynamic devices: a primer on pickups and kickers”, AIP Conf. Proc., 249 (1992), 537–600 | DOI

[8] Neuffer D., Calculations of pickups/kickers sensitivity, Fermilab., 1982

[9] Brittner P., Greven R., Stassen R. e. a., “Recent developments for the HESR stochastic cooling system”, Proc. of COOL (Bad Kreuznach, Germany), 2007, 191–193

[10] Katayama T., Tokuda N., “Fokker–Planck approach for the stochastic momentum cooling with a notch filter”, Part. Accel., 21 (1987), 90–120

[11] Bechstedt U., Dietrich J., Henn K. e. a., “Optical Notch Filter for the Stochastic Cooling System of COSY”, Proc. of PAC, 1999, 1701–1703