Collisional dependence of Alfvén mode saturation in tokamaks

Zhou, Muni; White, Roscoe

doi:10.1088/0741-3335/58/12/125006

Title: Collisional dependence of Alfvén mode saturation in tokamaks

Journal Article · Wed Oct 26 00:00:00 EDT 2016 · Plasma Physics and Controlled Fusion

DOI:https://doi.org/10.1088/0741-3335/58/12/125006· OSTI ID:1352910

Zhou, Muni ^[1]; White, Roscoe ^[2]

Zhejiang Univ., Hangzhou (People's Republic of China)
Princeton Univ., Princeton, NJ (United States). Plasma Physics Lab.

Saturation of Alfvén modes driven unstable by a distribution of high energy particles as a function of collisionality is investigated with a guiding center code, using numerical eigenfunctions produced by linear theory and numerical high energy particle distributions. The most important resonance is found and it is shown that when the resonance domain is bounded, not allowing particles to collisionlessly escape, the saturation amplitude is given by the balance of the resonance mixing time with the time for nearby particles to collisionally diffuse across the resonance width. Finally, saturation amplitudes are in agreement with theoretical predictions as long as the mode amplitude is not so large that it produces stochastic loss from the resonance domain.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 1352910

Alternate ID(s):: OSTI ID: 1330109

Report Number(s):: PPPL-5256; TRN: US1701331

Journal Information:: Plasma Physics and Controlled Fusion, Vol. 58, Issue 12; ISSN 0741-3335

Publisher:: IOP ScienceCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 9 works

Citation information provided by
Web of Science

References (25)

Basic physics of Alfvén instabilities driven by energetic particles in toroidally confined plasmas Heidbrink, W. W. Physics of Plasmas, Vol. 15, Issue 5 https://doi.org/10.1063/1.2838239	journal	May 2008
Beam distribution modification by Alfvén modes White, R. B.; Gorelenkov, N.; Heidbrink, W. W. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3327208	journal	May 2010
Particle distribution modification by low amplitude modes White, R. B.; Gorelenkov, N.; Heidbrink, W. W. Plasma Physics and Controlled Fusion, Vol. 52, Issue 4 https://doi.org/10.1088/0741-3335/52/4/045012	journal	March 2010
Measurements and modeling of Alfvén eigenmode induced fast ion transport and loss in DIII-D and ASDEX Upgrade Van Zeeland, M. A.; Heidbrink, W. W.; Fisher, R. K. Physics of Plasmas, Vol. 18, Issue 5 https://doi.org/10.1063/1.3574663	journal	May 2011
Saturation of a single mode driven by an energetic injected beam. I. Plasma wave problem Berk, H. L.; Breizman, B. N. Physics of Fluids B: Plasma Physics, Vol. 2, Issue 9 https://doi.org/10.1063/1.859404	journal	September 1990
Saturation of a single mode driven by an energetic injected beam. II. Electrostatic ‘‘universal’’ destabilization mechanism Berk, H. L.; Breizman, B. N. Physics of Fluids B: Plasma Physics, Vol. 2, Issue 9 https://doi.org/10.1063/1.859405	journal	September 1990
Saturation of a single mode driven by an energetic injected beam. III. Alfvén wave problem Berk, H. L.; Breizman, B. N. Physics of Fluids B: Plasma Physics, Vol. 2, Issue 9 https://doi.org/10.1063/1.859406	journal	September 1990
Scenarios for the nonlinear evolution of alpha-particle-induced Alfvén wave instability Berk, H. L.; Breizman, B. N.; Ye, Huanchun Physical Review Letters, Vol. 68, Issue 24 https://doi.org/10.1103/PhysRevLett.68.3563	journal	June 1992
Nonlinear Dynamics of a Driven Mode near Marginal Stability Berk, H. L.; Breizman, B. N.; Pekker, M. Physical Review Letters, Vol. 76, Issue 8 https://doi.org/10.1103/PhysRevLett.76.1256	journal	February 1996
Effect of dynamical friction on nonlinear energetic particle modes Lilley, M. K.; Breizman, B. N.; Sharapov, S. E. Physics of Plasmas, Vol. 17, Issue 9 https://doi.org/10.1063/1.3486535	journal	September 2010
Progress towards high performance plasmas in the National Spherical Torus Experiment (NSTX) Kaye, S. M.; Bell, M. G.; Bell, R. E. Nuclear Fusion, Vol. 45, Issue 10 https://doi.org/10.1088/0029-5515/45/10/S14	journal	October 2005
Saturation of Alfvén modes in tokamaks White, Roscoe; Gorelenkov, Nikolai; Gorelenkova, Marina Plasma Physics and Controlled Fusion, Vol. 58, Issue 11 https://doi.org/10.1088/0741-3335/58/11/115007	journal	September 2016
Modification of particle distributions by MHD instabilities I White, R. B. Communications in Nonlinear Science and Numerical Simulation, Vol. 17, Issue 5 https://doi.org/10.1016/j.cnsns.2011.02.013	journal	May 2012
Determination of broken KAM surfaces for particle orbits in toroidal confinement systems White, R. B. Plasma Physics and Controlled Fusion, Vol. 57, Issue 11 https://doi.org/10.1088/0741-3335/57/11/115008	journal	October 2015
Monte Carlo evaluation of transport coefficients Boozer, Allen H. Physics of Fluids, Vol. 24, Issue 5 https://doi.org/10.1063/1.863445	journal	January 1981
Numerical study of the nonlinear evolution of toroidicity-induced Alfvén eigenmodes Chen, Yang; White, Roscoe B.; Fu, Guo-yong Physics of Plasmas, Vol. 6, Issue 1 https://doi.org/10.1063/1.873275	journal	January 1999
Saturation of alpha particle driven instability in Tokamak Fusion Test Reactor Gorelenkov, N. N.; Chen, Y.; White, R. B. Physics of Plasmas, Vol. 6, Issue 2 https://doi.org/10.1063/1.873216	journal	February 1999
Nonlinear simulation of toroidal Alfvén eigenmode with source and sink Lang, Jianying; Fu, Guo-Yong; Chen, Yang Physics of Plasmas, Vol. 17, Issue 4 https://doi.org/10.1063/1.3394702	journal	April 2010
Structure of wave-particle resonances and Alfvén mode saturation Wang, X.; Briguglio, S.; Lauber, Ph. Physics of Plasmas, Vol. 23, Issue 1 https://doi.org/10.1063/1.4940785	journal	January 2016
The tokamak Monte Carlo fast ion module NUBEAM in the National Transport Code Collaboration library Pankin, Alexei; McCune, Douglas; Andre, Robert Computer Physics Communications, Vol. 159, Issue 3 https://doi.org/10.1016/j.cpc.2003.11.002	journal	June 2004
Modeling fast-ion transport during toroidal Alfvén eigenmode avalanches in National Spherical Torus Experiment Fredrickson, E. D.; Crocker, N. A.; Bell, R. E. Physics of Plasmas, Vol. 16, Issue 12 https://doi.org/10.1063/1.3265965	journal	December 2009
Fast particle finite orbit width and Larmor radius effects on low- n toroidicity induced Alfvén eigenmode excitation Gorelenkov, N. N.; Cheng, C. Z.; Fu, G. Y. Physics of Plasmas, Vol. 6, Issue 7 https://doi.org/10.1063/1.873545	journal	July 1999
Proof of a Theorem of a. n. Kolmogorov on the Invariance of Quasi-Periodic Motions Under Small Perturbations of the Hamiltonian Arnol'd, V. I. Russian Mathematical Surveys, Vol. 18, Issue 5 https://doi.org/10.1070/RM1963v018n05ABEH004130	journal	October 1963
Collisional dependence of Alfven mode saturation in tokamaks Zhou, M.; White, R. Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States) https://doi.org/10.11578/1367170	dataset	January 2016
Collisional dependence of Alfven mode saturation in tokamaks Zhou, M.; White, R. Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States) https://doi.org/10.11578/1562037	dataset	January 2016

Cited By (6)

Resonances between high energy particles and ideal magnetohydrodynamic modes in tokamaks White, R. B.; Gorelenkov, N. N.; Duarte, V. N. Physics of Plasmas, Vol. 25, Issue 10 https://doi.org/10.1063/1.5046655	journal	October 2018
Collisional enhancement of energetic particle Alfvénic resonance width in tokamaks White, R. B.; Duarte, V. N.; Gorelenkov, N. N. Physics of Plasmas, Vol. 26, Issue 3 https://doi.org/10.1063/1.5088598	journal	March 2019
A simple model for perturbative kinetic particle resonances in tokamaks White, R. B.; Duarte, V. N. Physics of Plasmas, Vol. 26, Issue 4 https://doi.org/10.1063/1.5092965	journal	April 2019
Modeling of chirping toroidal Alfvén eigenmodes in NSTX White, R. B.; Duarte, V. N.; Gorelenkov, N. N. Physics of Plasmas, Vol. 26, Issue 9 https://doi.org/10.1063/1.5115399	journal	September 2019
Collisional dependence of Alfven mode saturation in tokamaks Zhou, M.; White, R. Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States) https://doi.org/10.11578/1367170	dataset	January 2016
Collisional dependence of Alfven mode saturation in tokamaks Zhou, M.; White, R. Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States) https://doi.org/10.11578/1562037	dataset	January 2016

Similar Records

Collisional dependence of Alfven mode saturation in tokamaks

Dataset · Thu Dec 01 00:00:00 EST 2016 · OSTI ID:1352910

Zhou, M.; White, R.

Saturation of Alfvén modes in tokamaks

Journal Article · Tue Sep 20 00:00:00 EDT 2016 · Plasma Physics and Controlled Fusion · OSTI ID:1352910

White, Roscoe; Gorelenkov, Nikolai; Gorelenkova, Marina; +3 more

Analysis of the nonlinear behavior of shear-Alfvén modes in tokamaks based on Hamiltonian mapping techniques

Journal Article · Sat Nov 15 00:00:00 EST 2014 · Physics of Plasmas · OSTI ID:1352910

Vlad, G.; Fogaccia, G.; Di Troia, C.; +3 more

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Alfvén modes
saturation
collisions
tokamaks

Title: Collisional dependence of Alfvén mode saturation in tokamaks

Citation Formats

References (25)

Cited By (6)

Similar Records

Related Subjects