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Title: Criterion for the sign of wave energy

Journal Article · · Physics of Plasmas
DOI: https://doi.org/10.1063/1.5120401 · OSTI ID:1599716
 [1]
  1. Univ. of California, San Diego, CA (United States); UCSD
+ Show Author Affiliations

Criterion for the sign of wave energy are developed by using the symmetry properties of the plasma equilibrium and the fact that Vlasov dynamics is an incompressible flow in phase space, rather than the usual and more difficult procedure of calculating the value of the wave energy directly. Applications are made to the case of waves excited on a nonneutral plasma in a Malmberg-Penning trap and to waves excited on an infinitely long nonneutral beam.

Research Organization:
Univ. of California, San Diego, CA (United States)
Sponsoring Organization:
National Science Foundation (NSF); USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
Grant/Contract Number:
SC0018236
OSTI ID:
1599716
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 10 Vol. 26; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (13)

Mathematical Methods of Classical Mechanics book January 1978
Vlasov Equilibria and Stability of an Electron Gas journal January 1970
In What Sense Do Slow Waves Carry Negative Energy? journal November 1960
Stability theorem for off‐axis states of a non‐neutral plasma column journal September 1992
Pure electron plasmas in asymmetric traps* journal July 1993
Waves and transport in the pure electron plasma journal January 1980
Waves in a cold pure electron plasma of finite length journal January 1983
Stability theorem for a single species plasma in a toroidal magnetic configuration journal August 1994
Thermal equilibria and thermodynamics of trapped plasmas with a single sign of charge journal June 1998
Confinement Time Exceeding One Second for a Toroidal Electron Plasma journal April 2008
Resistive-Wall Destabilization of Diocotron Waves journal December 1982
Trapped nonneutral plasmas, liquids, and crystals (the thermal equilibrium states) journal January 1999
Physics of Nonneutral Plasmas book October 2001

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