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Two Methods For Simulating the Strong-Strong Beam-Beam Interaction in Hadron Colliders
Author(s) -
Robert Warnock
Publication year - 2002
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/808676
Subject(s) - physics , phase space , hadron , beam (structure) , lattice (music) , dipole , excitation , poisson distribution , transverse plane , statistical physics , computational physics , nuclear physics , quantum mechanics , optics , mathematics , statistics , structural engineering , acoustics , engineering
We present and compare the method of weighted macro particle tracking and the Perron-Frobenius operator technique for simulating the time evolution of two beams coupled via the collective beam-beam interaction in 2-D and 4-D (transverse) phase space. The coherent dipole modes, with and without lattice nonlinearities and external excitation, are studied by means of the Vlasov-Poisson system.

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