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Title: One-dimensional kinetic description of nonlinear traveling-pulse and traveling-wave disturbances in long coasting charged particle beams

This study makes use of a one-dimensional kinetic model to investigate the nonlinear longitudinal dynamics of a long coasting beam propagating through a perfectly conducting circular pipe with radius r w. The average axial electric field is expressed as < E z >=-(∂/∂z)=-e bg 0∂λ b/∂z-e bg 2r 2 w3λ b/∂z 3, where g 0 and g 2 are constant geometric factors, λ b(z,t)=∫dp zF b(z,p z,t) is the line density of beam particles, and F b(z,p z,t) satisfies the 1D Vlasov equation. Detailed nonlinear properties of traveling-wave and traveling-pulse (soliton) solutions with time-stationary waveform are examined for a wide range of system parameters extending from moderate-amplitudes to large-amplitude modulations of the beam charge density. Two classes of solutions for the beam distribution function are considered, corresponding to: (i) the nonlinear waterbag distribution, where F b=const in a bounded region of p z-space; and (ii) nonlinear Bernstein-Green-Kruskal (BGK)-like solutions, allowing for both trapped and untrapped particle distributions to interact with the self-generated electric field < E z >.
Authors:
 [1] ;  [2]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Univ. of Science and Technology of China, Anhui (China)
Publication Date:
Report Number(s):
PPPL-5136
Journal ID: ISSN 1098-4402; PRABFM
Grant/Contract Number:
AC02-09CH11466
Type:
Published Article
Journal Name:
Physical Review Special Topics. Accelerators and Beams
Additional Journal Information:
Journal Volume: 18; Journal Issue: 9; Journal ID: ISSN 1098-4402
Publisher:
American Physical Society (APS)
Research Org:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; beams; electron; heavy ion; light ion; REB; nonlinear effects; nonlinear theories; nonneutral plasmas
OSTI Identifier:
1233865
Alternate Identifier(s):
OSTI ID: 1221815; OSTI ID: 1254755

Davidson, Ronald C., and Qin, Hong. One-dimensional kinetic description of nonlinear traveling-pulse and traveling-wave disturbances in long coasting charged particle beams. United States: N. p., Web. doi:10.1103/PhysRevSTAB.18.094201.
Davidson, Ronald C., & Qin, Hong. One-dimensional kinetic description of nonlinear traveling-pulse and traveling-wave disturbances in long coasting charged particle beams. United States. doi:10.1103/PhysRevSTAB.18.094201.
Davidson, Ronald C., and Qin, Hong. 2015. "One-dimensional kinetic description of nonlinear traveling-pulse and traveling-wave disturbances in long coasting charged particle beams". United States. doi:10.1103/PhysRevSTAB.18.094201.
@article{osti_1233865,
title = {One-dimensional kinetic description of nonlinear traveling-pulse and traveling-wave disturbances in long coasting charged particle beams},
author = {Davidson, Ronald C. and Qin, Hong},
abstractNote = {This study makes use of a one-dimensional kinetic model to investigate the nonlinear longitudinal dynamics of a long coasting beam propagating through a perfectly conducting circular pipe with radius rw. The average axial electric field is expressed as < Ez >=-(∂/∂z)=-ebg0∂λb/∂z-ebg2r2w∂3λb/∂z3, where g0 and g2 are constant geometric factors, λb(z,t)=∫dpzFb(z,pz,t) is the line density of beam particles, and Fb(z,pz,t) satisfies the 1D Vlasov equation. Detailed nonlinear properties of traveling-wave and traveling-pulse (soliton) solutions with time-stationary waveform are examined for a wide range of system parameters extending from moderate-amplitudes to large-amplitude modulations of the beam charge density. Two classes of solutions for the beam distribution function are considered, corresponding to: (i) the nonlinear waterbag distribution, where Fb=const in a bounded region of pz-space; and (ii) nonlinear Bernstein-Green-Kruskal (BGK)-like solutions, allowing for both trapped and untrapped particle distributions to interact with the self-generated electric field < Ez >.},
doi = {10.1103/PhysRevSTAB.18.094201},
journal = {Physical Review Special Topics. Accelerators and Beams},
number = 9,
volume = 18,
place = {United States},
year = {2015},
month = {9}
}