- Physical Review Journals
All JournalsPhysics Magazine

Physical Review Accelerators and Beams

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 3.0 License. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Scaling for faster macroparticle simulation in longitudinal multiparticle dynamics

J. A. MacLachlan and Z. Nazario

  • Fermi National Accelerator Laboratory, Box 500, Batavia, Illinois 60510

PDF

Phys. Rev. ST Accel. Beams 3, 114401 – Published 3 November, 2000

DOI: https://doi.org/10.1103/PhysRevSTAB.3.114401

Abstract

Macroparticle tracking is a direct and attractive approach to following the evolution of a longitudinal phase space distribution. When the particles interact through short-range wake fields or when the interparticle force is included, calculations of this kind require a large number of macroparticles. However, it is possible to reduce both the number of macroparticles required and the number of tracking steps per unit simulated time by employing a simple scaling. It is demonstrated that the Vlasov equation is unchanged by introduction of the scaled quantities. It is further shown that under rather general conditions the speed of calculation improves with the fourth power of the scaling constant. Two examples comparing scaled and original cases illustrate the effectiveness of the approach. Limitations to the amount of rescaling are discussed.

View figure in article

References (5)

  1. J. MacLachlan, Fermilab Note No. FN-529, 1989.
  2. J. Wei, Ph.D. dissertation, State University of New York at Stony Brook, 1990.
  3. J. A. MacLachlan, FERMILAB-Conf-92/333, 1992.
  4. The current documentation, containing references to the underlying principles, is most accessible on the ESME web page http://www-ap.fnal.gov/ESME. See also, James A. MacLachlan and Jean-Francois Ostiguy, Technology Report No. FERMILAB TM-2132, 2000 (unpublished).
  5. A. Gerasimov, FERMILAB-Pub-94/376, 1994.

Outline

Information

Phys. Rev. ST Accel. Beams 3, 114401– Published 3 November, 2000
  • Received 27 July 2000
Creative Commons Logo

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation