Phys. Rev. Lett. 81, 991–994 (1998)Nonlinear Stability Theorem for High-Intensity Charged Particle BeamsReceived 10 April 1998; published in the issue dated 3 August 1998 Global conservation constraints based on the nonlinear Vlasov-Maxwell equations are used to derive a three-dimensional kinetic stability theorem for an intense non-neutral ion beam (or charge bunch) propagating with average axial velocity vb = const. It is shown that a sufficient condition for linear and nonlinear stability for perturbations with arbitrary polarization is that the equilibrium distribution be a monotonically decreasing function of the single-particle energy H′ in the beam frame, i.e., ∂feq(H′)/∂H′≤0. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.81.991
DOI:
10.1103/PhysRevLett.81.991
PACS:
29.27.Bd, 41.75.-i, 41.85.-p
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