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Title: Relativistic dynamical bistability and adiabatic excitation of strong plasma waves

Abstract

Adiabatic evolution of the nonlinear resonantly driven dynamical system generic to a variety of plasma physics problems, including generation of large-amplitude plasma waves in a plasma beat-wave accelerator, is studied. The properties of the resonant Hamiltonian and the dynamics of its phase space for adiabatically varying parameters are considered. It is shown that the system can exhibit bistability and the Hamiltonian of a bistable system always follows the same trajectory for the adiabatically varying driver regardless of whether the system is excited or left quiescent. Descriptions of the bistability, autoresonance, and their possible combination based on the properties of the resonant Hamiltonian are given.

Authors:
;  [1]
  1. Department of Physics and Institute of Fusion Studies, University of Texas at Austin, Austin, Texas 78712 (United States)
Publication Date:
OSTI Identifier:
20975036
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 5; Other Information: DOI: 10.1063/1.2710783; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AMPLITUDES; BEAT WAVE ACCELERATORS; EXCITATION; HAMILTONIANS; NONLINEAR PROBLEMS; PHASE SPACE; PLASMA GUNS; PLASMA INSTABILITY; PLASMA WAVES; RELATIVISTIC PLASMA; RELATIVISTIC RANGE

Citation Formats

Polomarov, Oleg, and Shvets, Gennady. Relativistic dynamical bistability and adiabatic excitation of strong plasma waves. United States: N. p., 2007. Web. doi:10.1063/1.2710783.
Polomarov, Oleg, & Shvets, Gennady. Relativistic dynamical bistability and adiabatic excitation of strong plasma waves. United States. doi:10.1063/1.2710783.
Polomarov, Oleg, and Shvets, Gennady. Tue . "Relativistic dynamical bistability and adiabatic excitation of strong plasma waves". United States. doi:10.1063/1.2710783.
@article{osti_20975036,
title = {Relativistic dynamical bistability and adiabatic excitation of strong plasma waves},
author = {Polomarov, Oleg and Shvets, Gennady},
abstractNote = {Adiabatic evolution of the nonlinear resonantly driven dynamical system generic to a variety of plasma physics problems, including generation of large-amplitude plasma waves in a plasma beat-wave accelerator, is studied. The properties of the resonant Hamiltonian and the dynamics of its phase space for adiabatically varying parameters are considered. It is shown that the system can exhibit bistability and the Hamiltonian of a bistable system always follows the same trajectory for the adiabatically varying driver regardless of whether the system is excited or left quiescent. Descriptions of the bistability, autoresonance, and their possible combination based on the properties of the resonant Hamiltonian are given.},
doi = {10.1063/1.2710783},
journal = {Physics of Plasmas},
number = 5,
volume = 14,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}