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Self-consistent chaos in the beam-plasma instability

Description: The effect of self-consistency on Hamiltonian systems with a large number of degrees-of-freedom is investigated for the beam-plasma instability using the single-wave model of O'Neil, Winfrey, and Malmberg.The single-wave model is reviewed and then rederived within the Hamiltonian context, which leads naturally to canonical action- angle variables. Simulations are performed with a large (10[sup 4]) number of beam particles interacting with the single wave. It is observed that the system relaxes … more
Date: February 8, 1993
Creator: Tennyson, J.L. (Stanford Linear Accelerator Center, Menlo Park, CA (United States)); Meiss, J.D. (Colorado Univ., Boulder, CO (United States). Applied Mathematics Program) & Morrison, P.J. (Texas Univ., Austin, TX (United States))
Partner: UNT Libraries Government Documents Department
open access

Self-consistent chaos in the beam-plasma instability

Description: The effect of self-consistency on Hamiltonian systems with a large number of degrees-of-freedom is investigated for the beam-plasma instability using the single-wave model of O`Neil, Winfrey, and Malmberg.The single-wave model is reviewed and then rederived within the Hamiltonian context, which leads naturally to canonical action- angle variables. Simulations are performed with a large (10{sup 4}) number of beam particles interacting with the single wave. It is observed that the system relaxes … more
Date: February 8, 1993
Creator: Tennyson, J. L.; Meiss, J. D. & Morrison, P. J.
Partner: UNT Libraries Government Documents Department
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