Criterion for the sign of wave energy

O'Neil, Thomas M.

doi:10.1063/1.5120401

Title: Criterion for the sign of wave energy

Abstract

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.

Authors:

O'Neil, Thomas M. ^[1]

Univ. of California, San Diego, CA (United States)

Publication Date:: 2019-10-09

Research Org.:: Univ. of California, San Diego, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); National Science Foundation (NSF)

OSTI Identifier:: 1599716

Grant/Contract Number:: SC0018236; PHY-1805764

Resource Type:: Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 26; Journal Issue: 10; Journal ID: ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Plasma Waves

Citation Formats


                    O'Neil, Thomas M. Criterion for the sign of wave energy.  United States: N. p., 2019. 
Web.  doi:10.1063/1.5120401.

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                    O'Neil, Thomas M. Criterion for the sign of wave energy.  United States.  https://doi.org/10.1063/1.5120401

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                    O'Neil, Thomas M. Wed .  
"Criterion for the sign of wave energy".  United States.  https://doi.org/10.1063/1.5120401.  https://www.osti.gov/servlets/purl/1599716.

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@article{osti_1599716,

  title        = {Criterion for the sign of wave energy},

  author       = {O'Neil, Thomas M.},

  abstractNote = {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.},

  doi          = {10.1063/1.5120401},

  journal      = {Physics of Plasmas},

  number       = 10,

  volume       = 26,

  place        = {United States},

  year         = {2019},

  month        = {10}

}

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Works referenced in this record:

Stability theorem for off‐axis states of a non‐neutral plasma column
journal, September 1992

O’Neil, Thomas M.; Smith, Ralph A.
Physics of Fluids B: Plasma Physics, Vol. 4, Issue 9
DOI: 10.1063/1.860142

Confinement Time Exceeding One Second for a Toroidal Electron Plasma
journal, April 2008

Marler, J. P.; Stoneking, M. R.
Physical Review Letters, Vol. 100, Issue 15
DOI: 10.1103/PhysRevLett.100.155001

Waves and transport in the pure electron plasma
journal, January 1980

deGrassie, J. S.; Malmberg, J. H.
Physics of Fluids, Vol. 23, Issue 1
DOI: 10.1063/1.862864

In What Sense Do Slow Waves Carry Negative Energy?
journal, November 1960

Sturrock, P. A.
Journal of Applied Physics, Vol. 31, Issue 11
DOI: 10.1063/1.1735495

Pure electron plasmas in asymmetric traps*
journal, July 1993

Chu, R.; Wurtele, J. S.; Notte, J.
Physics of Fluids B: Plasma Physics, Vol. 5, Issue 7
DOI: 10.1063/1.860721

Stability theorem for a single species plasma in a toroidal magnetic configuration
journal, August 1994

O’Neil, T. M.; Smith, R. A.
Physics of Plasmas, Vol. 1, Issue 8
DOI: 10.1063/1.870571

Trapped nonneutral plasmas, liquids, and crystals (the thermal equilibrium states)
journal, January 1999

Dubin, Daniel H. E.; O’Neil, T. M.
Reviews of Modern Physics, Vol. 71, Issue 1
DOI: 10.1103/RevModPhys.71.87

Physics of Nonneutral Plasmas
book, October 2001

Davidson, Ronald C.
DOI: 10.1142/p251

Resistive-Wall Destabilization of Diocotron Waves
journal, December 1982

White, W. D.; Malmberg, J. H.; Driscoll, C. F.
Physical Review Letters, Vol. 49, Issue 25
DOI: 10.1103/PhysRevLett.49.1822

Vlasov Equilibria and Stability of an Electron Gas
journal, January 1970

Davidson, Ronald C.
Physics of Fluids, Vol. 13, Issue 6
DOI: 10.1063/1.1693115

Waves in a cold pure electron plasma of finite length
journal, January 1983

Prasad, S. A.
Physics of Fluids, Vol. 26, Issue 3
DOI: 10.1063/1.864181

Thermal equilibria and thermodynamics of trapped plasmas with a single sign of charge
journal, June 1998

O’Neil, T. M.; Dubin, Daniel H. E.
Physics of Plasmas, Vol. 5, Issue 6
DOI: 10.1063/1.872925

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Similar Records

Title: Criterion for the sign of wave energy

Abstract

Citation Formats

Stability theorem for off‐axis states of a non‐neutral plasma column journal, September 1992

Confinement Time Exceeding One Second for a Toroidal Electron Plasma journal, April 2008

Waves and transport in the pure electron plasma journal, January 1980

In What Sense Do Slow Waves Carry Negative Energy? journal, November 1960

Pure electron plasmas in asymmetric traps* journal, July 1993

Stability theorem for a single species plasma in a toroidal magnetic configuration journal, August 1994

Trapped nonneutral plasmas, liquids, and crystals (the thermal equilibrium states) journal, January 1999

Physics of Nonneutral Plasmas book, October 2001

Resistive-Wall Destabilization of Diocotron Waves journal, December 1982

Vlasov Equilibria and Stability of an Electron Gas journal, January 1970

Waves in a cold pure electron plasma of finite length journal, January 1983

Thermal equilibria and thermodynamics of trapped plasmas with a single sign of charge journal, June 1998

Stability theorem for off‐axis states of a non‐neutral plasma column
journal, September 1992

Confinement Time Exceeding One Second for a Toroidal Electron Plasma
journal, April 2008

Waves and transport in the pure electron plasma
journal, January 1980

In What Sense Do Slow Waves Carry Negative Energy?
journal, November 1960

Pure electron plasmas in asymmetric traps*
journal, July 1993

Stability theorem for a single species plasma in a toroidal magnetic configuration
journal, August 1994

Trapped nonneutral plasmas, liquids, and crystals (the thermal equilibrium states)
journal, January 1999

Physics of Nonneutral Plasmas
book, October 2001

Resistive-Wall Destabilization of Diocotron Waves
journal, December 1982

Vlasov Equilibria and Stability of an Electron Gas
journal, January 1970

Waves in a cold pure electron plasma of finite length
journal, January 1983

Thermal equilibria and thermodynamics of trapped plasmas with a single sign of charge
journal, June 1998