Localized Coherent Structures and Patterns Formation in Collective Models of Beam Motion

Details Localized Coherent Structures and Patterns Formation in Collective Models of Beam Motion Localized Coherent Structures and Patterns Formation in Collective Models of Beam Motion

2000-12-31

arxiv.org/abs/physics/0101007v2

Physics

Accelerator Physics

12 pages, 7 figures, ws-p8-50x6-00.cls, presented at Capri ICFA Workshop, October, 2000, replaced Fig.1

Scientific paper

We present applications of variational -- wavelet approach to three different models of nonlinear beam motions with underlying collective behaviour: Vlasov-Maxwell-Poisson systems, envelope dynamics, beam-beam model. We have the representation for dynamical variables as a multiresolution (multiscales) expansion via high-localized nonlinear eigenmodes in the base of compactly supported wavelet bases. Numerical modelling demonstrates formation of coherent structures and stable patterns.

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