Nuclear Physics and Atomic Energy

ядерна ф≥зика та енергетика
Nuclear Physics and Atomic Energy

  ISSN: 1818-331X (Print), 2074-0565 (Online)
  Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine
  Languages: Ukrainian, English, Russian
  Periodicity: 4 times per year

  Open access peer reviewed journal


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Nucl. Phys. At. Energy 2016, volume 17, issue 4, pages 406-410.
Section: Engineering and Methods of Experiment.
Received: 04.10.2016; Accepted: 14.02.2017; Published online: 10.04.2017.
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Multiscale simulation algorithm for stochastic cooling simulation

M. E. Dolinska*, N. L. Doroshko

Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine

*Corresponding author. E-mail address: M.Dolinska@gsi.de

Abstract: The subsequent steps on improvement of the numerical methods for solution of the stochastic cooling simulation are described. The algorithmic approach for improvement of solution of one dimensional Fokker - Planck equation (FPE) is presented in the paper. This approach is based on a multiscale simulation algorithm to increase the accuracy of the FPE solution.

Keywords: stochastic cooling, Fokker - Planck equation, momentum spread, antiproton beam.

References:

1. D. Mohl. Stochastic Cooling of Particle Beams (Springer-Verlag, 2013).

2. J. Bosser et al. Stability of cooled beams. Nucl. Instrum. Meth. A 441 (2000) 1.

3. F. Nolden, K. Beckert, P. Beller et al. Fast Stochastic Cooling of Heavy Ions at the ESR Storage Ring. Proc. of EPAC (Austria, Vienna, 2000) p. 1262.

4. M. Dolinska. Fokker - Planck equation solver for study stochastic cooling in storages rings. Yaderna Fizyka ta Energetyka (Nucl. Phys. At. Energy) 12(4) (2011) 407.

5. M. Dolinska. Numerical algorithm based on the PDE method for solution of the Fokker - Planck equation. Problems of Atomic Science and Technology 5(75) (2011) 63.

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7. M. Dolinska, C. Dimopoulou, A. Dolinskii et al. Simulations of Antiproton Stochastic Cooling in the CR. GSI Scientific report 2011 (Darmstadt, 2011) p. 327.