Long range frequency chirping of Alfvén eigenmodes

Hezaveh, H.; Qu, Z. S.; Breizman, B. N.; Hole, M. J.

doi:10.1088/1741-4326/ab7d18

Long range frequency chirping of Alfvén eigenmodes

Journal Article · Thu Apr 09 00:00:00 EDT 2020 · Nuclear Fusion

DOI:https://doi.org/10.1088/1741-4326/ab7d18· OSTI ID:1787343

^[1]; ^[2]; Breizman, B. N. ^[3]; ^[4]

Australian National Univ., Canberra, ACT (Australia); Institute for Fusion Studies
Australian National Univ., Canberra, ACT (Australia)
Univ. of Texas, Austin, TX (United States). Institute for Fusion Studies
Australian National Univ., Canberra, ACT (Australia); Australian Nuclear Science and Technology Organisation (ANSTO), Kirrawee, NSW (Australia)

In this work, a theoretical framework has been developed for an NBI scenario to model the hard non-linear evolution of global Alfvén eigenmodes (GAEs) where the adiabatic motion of phase-space structures (holes and clumps), associated with frequency chirping, occurs in generalized phase-space of slowing down energetic particles. The radial profile of the GAE is expanded using finite elements, which allows an update of the mode structure as the mode frequency chirps. Constants of motion are introduced to track the dynamics of energetic particles during frequency chirping by implementing proper action-angle variables and canonical transformations which reduce the dynamics essentially to 1D. Consequently, we specify whether the particles are drifting inward/outward as the frequency deviates from the initial MHD eigenfrequency. Using the principle of least action, we have derived the non-linear equation describing the evolution of the radial profile by varying the total Lagrangian of the system with respect to the weights of the finite elements. For the choice of parameters in this work, it is shown that the peak of the radial profile is shifted and also broadens due to frequency chirping. The time rate of frequency change is also calculated using the energy balance and we show that the adiabatic condition remains valid once it is satisfied. This model clearly illustrates the theoretical treatment to study the long-range adiabatic frequency sweeping events observed for Alfvén gap modes in real experiments.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Texas, Austin, TX (United States). Institute for Fusion Studies

Sponsoring Organization:: Australian Research Council; USDOE Office of Science (SC)

Grant/Contract Number:: FG02-04ER54742

OSTI ID:: 1787343

Alternate ID(s):: OSTI ID: 23013602

Journal Information:: Nuclear Fusion, Journal Name: Nuclear Fusion Journal Issue: 5 Vol. 60; ISSN 0029-5515

Publisher:: IOP ScienceCopyright Statement

Country of Publication:: United States

Language:: English

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