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Numerical simulations of colliding beams dynamics with nonzero crossing angle
Author(s) -
Boronina M.A.,
Genrikh E.A.,
Vshivkov V.A.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5301
Subject(s) - coincidence , beam (structure) , physics , work (physics) , electromagnetic field , dynamics (music) , charged particle , classical mechanics , computer simulation , energy (signal processing) , statistical physics , computational physics , quantum electrodynamics , mechanics , optics , quantum mechanics , ion , medicine , alternative medicine , pathology , acoustics
The work is devoted to the problem of charged particle beam dynamics in self‐consistent electromagnetic fields in the modern colliders. The colliding beams move in vacuum with highly relativistic speeds ( γ ∼10 3 − 10 5 ). The achievement of the high luminosities for the high energy beams finds difficulties due to the beam disruption under the strong electromagnetic fields. We present our first results on the numerical simulations for the beams with the nonzero crossing angle with our parallel fully three‐dimensional algorithm. The results of the numerical modelling demonstrate qualitative and quantitative coincidence with theory for noncritical beam parameters.