Simulations of Dynamical Friction Including Spatially-Varying Magnetic Fields

Journal Article · Mon Mar 20 00:00:00 EST 2006 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2190129· OSTI ID:20798416

Bell, G I; Bruhwiler, D L; Busby, R; Abell, D T; Messmer, P; Veitzer, S ^[1]; Litvinenko, V N ^[2]; Cary, J R ^[1]

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1. Tech-X Corp., Boulder, CO 80303 (United States)
2. Brookhaven National Lab, Upton, NY 11973 (United States)

A proposed luminosity upgrade to the Relativistic Heavy Ion Collider (RHIC) includes a novel electron cooling section, which would use {approx}55 MeV electrons to cool fully-ionized 100 GeV/nucleon gold ions. We consider the dynamical friction force exerted on individual ions due to a relevant electron distribution. The electrons may be focussed by a strong solenoid field, with sensitive dependence on errors, or by a wiggler field. In the rest frame of the relativistic co-propagating electron and ion beams, where the friction force can be simulated for nonrelativistic motion and electrostatic fields, the Lorentz transform of these spatially-varying magnetic fields includes strong, rapidly-varying electric fields. Previous friction force simulations for unmagnetized electrons or error-free solenoids used a 4th-order Hermite algorithm, which is not well-suited for the inclusion of strong, rapidly-varying external fields. We present here a new algorithm for friction force simulations, using an exact two-body collision model to accurately resolve close interactions between electron/ion pairs. This field-free binary-collision model is combined with a modified Boris push, using an operator-splitting approach, to include the effects of external fields. The algorithm has been implemented in the VORPAL code and successfully benchmarked.

• OSTI ID: 20798416
• Journal Information: AIP Conference Proceedings, Vol. 821, Issue 1; Conference: COOL05: International workshop on beam cooling and related topics, Galena, IL (United States), 18-23 Sep 2005; Other Information: DOI: 10.1063/1.2190129; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ALGORITHMS
BEAM DYNAMICS
BEAM LUMINOSITY
BROOKHAVEN RHIC
COMPUTERIZED SIMULATION
ELECTRIC FIELDS
ELECTRON BEAMS
ELECTRON COOLING
ELECTRONS
FRICTION
GEV RANGE
GOLD IONS
ION BEAMS
MAGNETIC FIELDS
NUMERICAL ANALYSIS
RELATIVISTIC RANGE
SOLENOIDS