Finite orbit energetic particle linear response to toroidal Alfven eigenmodes

Berk, H L; Ye, Huanchun; Breizman, B N

Title: Finite orbit energetic particle linear response to toroidal Alfven eigenmodes

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Abstract

The linear response of energetic particles to the TAE modes is calculated taking into account their finite orbit excursion from the flux surfaces. The general expression reproduces the previously derived theory for small banana width: when the banana width {triangle}{sub b} is much larger than the mode thickness {triangle}{sub m}, we obtain a new compact expression for the linear power transfer. When {triangle}{sub m}/{triangle}{sub b} {much lt} 1, the banana orbit effect reduces the power transfer by a factor of {triangle}{sub m}/{triangle}{sub b} from that predicted by the narrow orbit theory. A comparison is made of the contribution to the TAE growth rate of energetic particles with a slowing-down distribution arising from an isotropic source, and a balance-injected beam source when the source speed is close to the Alfven speed. For the same stored energy density, the contribution from the principal resonances ({vert bar}{upsilon}{sub {parallel}}{vert bar} = {upsilon}{sub A} is substantially enhanced in the beam case compared to the isotropic case, while the contribution at the higher sidebands ({vert bar}{upsilon}{sub {parallel}}{vert bar}) = {upsilon}{sub A}/(2{ell} {minus} 1) with {ell} {ge} 2) is substantially reduced. 10 refs.

Authors:

Berk, H L; Ye, Huanchun ^[1]; Breizman, B N ^[2]

Texas Univ., Austin, TX (United States). Inst. for Fusion Studies
AN SSSR, Novosibirsk (USSR). Inst. Yadernoj Fiziki

Publication Date:: Mon Jul 01 00:00:00 EDT 1991

Research Org.:: Texas Univ., Austin, TX (United States). Inst. for Fusion Studies

Sponsoring Org.:: USDOE; USDOE, Washington, DC (United States)

OSTI Identifier:: 5300034

Report Number(s):: DOE/ET/53088-507; IFSR-507
ON: DE91018418

DOE Contract Number:: FG05-80ET53088

Resource Type:: Technical Report

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; TOKAMAK DEVICES; ALFVEN WAVES; PLASMA INSTABILITY; ALPHA PARTICLES; BANANA REGIME; DISTRIBUTION FUNCTIONS; ORBITS; PARTICLE LOSSES; CHARGED PARTICLES; CLOSED PLASMA DEVICES; FUNCTIONS; HYDROMAGNETIC WAVES; INSTABILITY; THERMONUCLEAR DEVICES; TRAPPING; 700103* - Fusion Energy- Plasma Research- Kinetics; 700107 - Fusion Energy- Plasma Research- Instabilities

Citation Formats


                    Berk, H L, Ye, Huanchun, and Breizman, B N. Finite orbit energetic particle linear response to toroidal Alfven eigenmodes.  United States: N. p., 1991. 
        Web.

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                    Berk, H L, Ye, Huanchun, & Breizman, B N. Finite orbit energetic particle linear response to toroidal Alfven eigenmodes.  United States.

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                    Berk, H L, Ye, Huanchun, and Breizman, B N. 1991.  
        "Finite orbit energetic particle linear response to toroidal Alfven eigenmodes".  United States.

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@article{osti_5300034,

  title        = {Finite orbit energetic particle linear response to toroidal Alfven eigenmodes},

  author       = {Berk, H L and Ye, Huanchun and Breizman, B N},

  abstractNote = {The linear response of energetic particles to the TAE modes is calculated taking into account their finite orbit excursion from the flux surfaces. The general expression reproduces the previously derived theory for small banana width: when the banana width {triangle}{sub b} is much larger than the mode thickness {triangle}{sub m}, we obtain a new compact expression for the linear power transfer. When {triangle}{sub m}/{triangle}{sub b} {much lt} 1, the banana orbit effect reduces the power transfer by a factor of {triangle}{sub m}/{triangle}{sub b} from that predicted by the narrow orbit theory. A comparison is made of the contribution to the TAE growth rate of energetic particles with a slowing-down distribution arising from an isotropic source, and a balance-injected beam source when the source speed is close to the Alfven speed. For the same stored energy density, the contribution from the principal resonances ({vert bar}{upsilon}{sub {parallel}}{vert bar} = {upsilon}{sub A} is substantially enhanced in the beam case compared to the isotropic case, while the contribution at the higher sidebands ({vert bar}{upsilon}{sub {parallel}}{vert bar}) = {upsilon}{sub A}/(2{ell} {minus} 1) with {ell} {ge} 2) is substantially reduced. 10 refs.},

  doi          = {},

  url          = {https://www.osti.gov/biblio/5300034},
  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {Mon Jul 01 00:00:00 EDT 1991},

  month        = {Mon Jul 01 00:00:00 EDT 1991}

}

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