Chaos and the continuum limit in charged particle beams

We investigate the validity of the Vlasov-Poisson equations for calculating properties of systems of N charged particles governed by time-independent Hamiltonians. Through numerical experiments we verify that there is a smooth convergence toward a continuum limit as N→∞ and the particle charge q→0 s...

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Bibliographic Details
Main Authors: Henry E. Kandrup, Ioannis V. Sideris, Courtlandt L. Bohn
Format: Article
Language:English
Published: American Physical Society 2004-01-01
Series:Physical Review Special Topics. Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevSTAB.7.014202