Title :
On the relaxation of semi-Gaussian and K-V beams to thermal equilibrium
Author :
Lund, S.M. ; Barnard, J.J. ; Miller, J.M.
Author_Institution :
Lawrence Livermore Nat. Lab., California Univ., Livermore, CA, USA
Abstract :
A beam propagating in a continuous, linear focusing channel tends to relax to a thermal equilibrium state. We employ nonlinear conservation constraints to theoretically analyze changes in quantities that characterize both an initial semi-Gaussian beam with a matched rms beam envelope and a K-V beam under a relaxation to thermal equilibrium. Results from particle-in-cell simulations are compared to the theoretical predictions
Keywords :
particle beam dynamics; particle beam focusing; space charge; K-V beam relaxation; continuous linear focusing channel; nonlinear conservation constraints; particle-in-cell simulations; semi-Gaussian beam relaxation; thermal equilibrium; thermal equilibrium state; Constraint theory; Ear; Electrostatics; Equations; Gaussian distribution; Laboratories; Lattices; Particle beams; Predictive models; Tellurium;
Conference_Titel :
Particle Accelerator Conference, 1995., Proceedings of the 1995
Conference_Location :
Dallas, TX
Print_ISBN :
0-7803-2934-1
DOI :
10.1109/PAC.1995.505854
