Resonance broadened quasi-linear (RBQ) model for fast ion distribution relaxation due to Alfvénic eigenmodes

Gorelenkov, N. N.; Duarte, V. N.; Podesta, M.; Berk, H. L.

doi:10.1088/1741-4326/aac72b

Title: Resonance broadened quasi-linear (RBQ) model for fast ion distribution relaxation due to Alfvénic eigenmodes

Journal Article · Fri Jun 29 00:00:00 EDT 2018 · Nuclear Fusion

DOI:https://doi.org/10.1088/1741-4326/aac72b· OSTI ID:1463326

Gorelenkov, N. N. ^[1];

^[2];

^[1]; Berk, H. L. ^[3]

Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Univ. of Sao Paulo (Brazil). Inst. of Physics
Univ. of Texas, Austin, TX (United States). Inst. for Fusion Studies

The burning plasma performance is limited by the confinement of the super-alfvénic fusion products such as alpha particles and the auxiliary heating ions capable of exciting the Alfvénic eigenmodes (AEs) (Gorelenkov et al 2014 Nucl. Fusion 54 125001). Here in this work the effect of AEs on fast ions is formulated within the quasi-linear (QL) theory generalized for this problem recently (Duarte 2017 PhD Thesis University of São Paulo, Brazil). The generalization involves the resonance line broadened interaction of energetic particles (EP) with AEs supplemented by the diffusion coefficients depending on EP position in the velocity space. A new resonance broadened QL code (or RBQ1D) based on this formulation allowing for EP diffusion in radial direction is built and presented in details. In RBQ1D applications we reduce the wave particle interaction (WPI) dynamics to 1D case when the particle kinetic energy is nearly constant. The diffusion equation for EP distribution evolution is then solved simultaneously for all particles along the angular momentum direction. We make initial applications of the RBQ1D to a DIII-D plasma with elevated q-profile where the beam ions show stiff transport properties (Collins et al (The DIII-D Team) 2016 Phys. Rev. Lett. 116 095001). In conclusion, AE driven fast ion profile relaxation is studied for validations of the QL approach in realistic conditions of beam ion driven instabilities in DIII-D.

View Accepted Manuscript (DOE)

Cite

Export

Save

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

Sponsoring Organization:: USDOE; Sao Paulo Research Foundation

Grant/Contract Number:: AC02-09CH11466; FG02-95ER54309; 2012/22830-2; 2014/03289-4

OSTI ID:: 1463326

Journal Information:: Nuclear Fusion, Vol. 58, Issue 8; ISSN 0029-5515

Publisher:: IOP ScienceCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 19 works

Citation information provided by
Web of Science

References (34)

Nonlinear response of driven systems in weak turbulence theory Berk, H. L.; Breizman, B. N.; Fitzpatrick, J. Physics of Plasmas, Vol. 3, Issue 5 https://doi.org/10.1063/1.871978	journal	May 1996
Prediction of nonlinear evolution character of energetic-particle-driven instabilities Duarte, V. N.; Berk, H. L.; Gorelenkov, N. N. Nuclear Fusion, Vol. 57, Issue 5 https://doi.org/10.1088/1741-4326/aa6232	journal	March 2017
A reduced fast ion transport model for the tokamak transport code TRANSP Podestà, M.; Gorelenkova, M.; White, R. B. Plasma Physics and Controlled Fusion, Vol. 56, Issue 5 https://doi.org/10.1088/0741-3335/56/5/055003	journal	April 2014
Hamiltonian guiding center drift orbit calculation for plasmas of arbitrary cross section White, R. B.; Chance, M. S. Physics of Fluids, Vol. 27, Issue 10 https://doi.org/10.1063/1.864527	journal	January 1984
Central flattening of the fast-ion profile in reversed-shear DIII-D discharges Heidbrink, W. W.; Van Zeeland, M. A.; Austin, M. E. Nuclear Fusion, Vol. 48, Issue 8 https://doi.org/10.1088/0029-5515/48/8/084001	journal	June 2008
Fast-ion transport by Alfvén eigenmodes above a critical gradient threshold Heidbrink, W. W.; Collins, C. S.; Podestà, M. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4977535	journal	May 2017
Effects of MHD instabilities on neutral beam current drive Podestà, M.; Gorelenkova, M.; Darrow, D. S. Nuclear Fusion, Vol. 55, Issue 5 https://doi.org/10.1088/0029-5515/55/5/053018	journal	April 2015
Quasilinear Diffusion of an Axisymmetric Toroidal Plasma Kaufman, Allan N. Physics of Fluids, Vol. 15, Issue 6 https://doi.org/10.1063/1.1694031	journal	January 1972
A Perturbation Theory for Strong Plasma Turbulence Dupree, T. H. Physics of Fluids, Vol. 9, Issue 9 https://doi.org/10.1063/1.1761932	journal	January 1966
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
Theory and observation of the onset of nonlinear structures due to eigenmode destabilization by fast ions in tokamaks Duarte, V. N.; Berk, H. L.; Gorelenkov, N. N. Physics of Plasmas, Vol. 24, Issue 12 https://doi.org/10.1063/1.5007811	journal	December 2017
Kinetic extensions of magnetohydrodynamics for axisymmetric toroidal plasmas Cheng, C. Z. Physics Reports, Vol. 211, Issue 1 https://doi.org/10.1016/0370-1573(92)90166-w	journal	February 1992
Phase space effects on fast ion distribution function modeling in tokamaks Podestà, M.; Gorelenkova, M.; Fredrickson, E. D. Physics of Plasmas, Vol. 23, Issue 5, Article No. 056106 https://doi.org/10.1063/1.4946027	journal	May 2016
Energetic particle physics in fusion research in preparation for burning plasma experiments Gorelenkov, N. N.; Pinches, S. D.; Toi, K. Nuclear Fusion, Vol. 54, Issue 12 https://doi.org/10.1088/0029-5515/54/12/125001	journal	November 2014
Validating predictive models for fast ion profile relaxation in burning plasmas Gorelenkov, N. N.; Heidbrink, W. W.; Kramer, G. J. Nuclear Fusion, Vol. 56, Issue 11 https://doi.org/10.1088/0029-5515/56/11/112015	journal	July 2016
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
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
Resonance processes in magnetic traps Chirikov, B. V. Journal of Nuclear Energy. Part C, Plasma Physics, Accelerators, Thermonuclear Research, Vol. 1, Issue 4 https://doi.org/10.1088/0368-3281/1/4/311	journal	January 1960
Computation of Alfvèn eigenmode stability and saturation through a reduced fast ion transport model in the TRANSP tokamak transport code Podestà, M.; Gorelenkova, M.; Gorelenkov, N. N. Plasma Physics and Controlled Fusion, Vol. 59, Issue 9 https://doi.org/10.1088/1361-6587/aa7977	journal	July 2017
High-n ideal and resistive shear Alfvén waves in tokamaks Cheng, C. Z.; Chen, Liu; Chance, M. S. Annals of Physics, Vol. 161, Issue 1 https://doi.org/10.1016/0003-4916(85)90335-5	journal	April 1985
Observation of Critical-Gradient Behavior in Alfvén-Eigenmode-Induced Fast-Ion Transport Collins, C. S.; Heidbrink, W. W.; Austin, M. E. Physical Review Letters, Vol. 116, Issue 9 https://doi.org/10.1103/physrevlett.116.095001	journal	February 2016
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
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 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
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
Comparing the line broadened quasilinear model to Vlasov code Ghantous, K.; Berk, H. L.; Gorelenkov, N. N. Physics of Plasmas, Vol. 21, Issue 3 https://doi.org/10.1063/1.4869242	journal	March 2014
Resonance frequency broadening of wave-particle interaction in tokamaks due to Alfvénic eigenmode Meng, G.; Gorelenkov, N. N.; Duarte, V. N. Nuclear Fusion, Vol. 58, Issue 8 https://doi.org/10.1088/1741-4326/aaa918	journal	June 2018
Effects of energetic particle phase space modifications by instabilities on integrated modeling Podestà, M.; Gorelenkova, M.; Fredrickson, E. D. Nuclear Fusion, Vol. 56, Issue 11 https://doi.org/10.1088/0029-5515/56/11/112005	journal	July 2016
Stability of Plasma Vedenov, A. A.; Velikhov, E. P.; Sagdeev, Roal'd Z. Soviet Physics Uspekhi, Vol. 4, Issue 2 https://doi.org/10.1070/PU1961v004n02ABEH003341	journal	February 1961
Line broadened quasi-linear burst model [fusion plasma] Berk, H. L.; Breizman, B. N.; Fitzpatrick, J. Nuclear Fusion, Vol. 35, Issue 12 https://doi.org/10.1088/0029-5515/35/12/I30	journal	December 1995
New techniques for calculating heat and particle source rates due to neutral beam injection in axisymmetric tokamaks Goldston, R. J.; McCune, D. C.; Towner, H. H. Journal of Computational Physics, Vol. 43, Issue 1 https://doi.org/10.1016/0021-9991(81)90111-X	journal	September 1981
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
Resonance processes in magnetic traps Chirikov, B. V. The Soviet Journal of Atomic Energy, Vol. 6, Issue 6 https://doi.org/10.1007/bf01483352	journal	December 1960
Prediction of Nonlinear Evolution Character of Energetic-Particle-Driven Instabilities Duarte, Vinicius; Berk, Herbert; Gorelenkov, Nikolai arXiv https://doi.org/10.48550/arxiv.1610.05059	text	January 2016

Cited By (6)

Verification and application of resonance broadened quasi-linear (RBQ) model with multiple Alfvénic instabilities Gorelenkov, N. N.; Duarte, V. N.; Collins, C. S. Physics of Plasmas, Vol. 26, Issue 7 https://doi.org/10.1063/1.5087252	journal	July 2019
Study of the likelihood of Alfvénic mode bifurcation in NSTX and predictions for ITER baseline scenarios Duarte, V. N.; Gorelenkov, N. N.; Schneller, M. Nuclear Fusion, Vol. 58, Issue 8 https://doi.org/10.1088/1741-4326/aab37c	journal	June 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
Resonance frequency broadening of wave-particle interaction in tokamaks due to Alfvénic eigenmode Meng, G.; Gorelenkov, N. N.; Duarte, V. N. Nuclear Fusion, Vol. 58, Issue 8 https://doi.org/10.1088/1741-4326/aaa918	journal	June 2018
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
Study of the likelihood of Alfvénic mode bifurcation in NSTX and predictions for ITER baseline scenarios Duarte, Vinicius; Gorelenkov, Nikolai; Schneller, Mirjam arXiv https://doi.org/10.48550/arxiv.1802.06158	text	January 2018

Similar Records

Verification and application of resonance broadened quasi-linear (RBQ) model with multiple Alfvénic instabilities

Journal Article · Mon Jul 29 00:00:00 EDT 2019 · Physics of Plasmas · OSTI ID:1463326

Gorelenkov, N. N.; Duarte, V. N.; Collins, C. S.; +2 more

Study of the likelihood of Alfvénic mode bifurcation in NSTX and predictions for ITER baseline scenarios

Journal Article · Fri Mar 02 00:00:00 EST 2018 · Nuclear Fusion · OSTI ID:1463326

Duarte, V. N.; Gorelenkov, N. N.; Schneller, M.; +3 more

Resonance frequency broadening of wave-particle interaction in tokamaks due to Alfvénic eigenmode

Journal Article · Fri Jan 19 00:00:00 EST 2018 · Nuclear Fusion · OSTI ID:1463326

Meng, Guo; Gorelenkov, Nikolai N.; Duarte, Vinicius N.; +3 more

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Alfvenic eigenmodes
fast ion distribution
quasi-linear theory

Title: Resonance broadened quasi-linear (RBQ) model for fast ion distribution relaxation due to Alfvénic eigenmodes

Citation Formats

References (34)

Cited By (6)

Similar Records

Related Subjects