Nonlocal effects in high energy charged particle beams

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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6 pages, 6 figures, uses RevTeX4

Scientific paper

10.1103/PhysRevE.69.066501

Within the framework of the thermal wave model, an investigation is made of the longitudinal dynamics of high energy charged particle beams. The model includes the self-consistent interaction between the beam and its surroundings in terms of a nonlinear coupling impedance, and when resistive as well as reactive parts are included, the evolution equation becomes a generalised nonlinear Schroedinger equation including a nonlocal nonlinear term. The consequences of the resistive part on the propagation of particle bunches are examined using analytical as well as numerical methods.

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