Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Peeling-ballooning modes in spherical tokamaks: Multi-branch instabilities and effects beyond ideal MHD

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/5.0305045· OSTI ID:3013658
A number of important physics effects on the stability of relatively high-n (n is the toroidal mode number) peeling-ballooning modes (PBMs) are investigated based on an equilibrium reconstructed from a NSTX discharge, utilizing extended magnetohydrodynamic (MHD) eigenvalue solvers. For a given toroidal mode number n, multiple branches of instabilities are computed, with the total number of unstable branches roughly linearly scaling with n. Most of the unstable branches are located in the plasma core region, but edge-localized branches, i.e., PBMs, are also identified at higher n-numbers. For the single-fluid-wise most unstable PBM with n = 19⁠, stabilizing/destabilizing effects due to various physics beyond ideal MHD are systematically investigated. Plasma toroidal flow is found to be weakly stabilizing. Local flow shear is generally stabilizing as well, with the degree of stabilization depending on the initial growth rate (without flow shear) of the mode. The plasma resistivity can strongly destabilize the PBM within the single-fluid framework. Anisotropic thermal transport, strong parallel sound wave damping, as well as two-fluid effects are all stabilizing to the mode. In particular, diamagnetic stabilization (within the two-fluid model) is found to be very strong for this mode.
Research Organization:
General Atomics, San Diego, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)
Grant/Contract Number:
FG02-95ER54309; AC05-00OR22725; AC02-09CH11466
OSTI ID:
3013658
Alternate ID(s):
OSTI ID: 3011967
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 12 Vol. 32; ISSN 1070-664X; ISSN 1089-7674
Publisher:
AIP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (46)

Stability analysis of the ideal m = n =1 kink mode in toroidal geometry by direct expansion of the hydromagnetic equations journal February 1997
Feedback stabilization of nonaxisymmetric resistive wall modes in tokamaks. I. Electromagnetic model journal September 2000
Edge localized modes and the pedestal: A model based on coupled peeling–ballooning modes journal May 2002
New approach to magnetohydrodynamic stability: I. A practical stability concept journal January 1974
Toroidal self-consistent modeling of drift kinetic effects on the resistive wall mode journal November 2008
Development and validation of a predictive model for the pedestal height journal May 2009
Edge localized linear ideal magnetohydrodynamic instability studies in an extended-magnetohydrodynamic code journal March 2010
Finite toroidal flow generated by unstable tearing mode in a toroidal plasma journal December 2014
Bifurcation of resistive wall mode dynamics predicted by magnetohydrodynamic-kinetic hybrid theory journal September 2015
Effect of anisotropic thermal transport on the resistive plasma response to resonant magnetic perturbation field journal October 2017
Destabilization of resistive plasma resistive wall mode by anisotropic thermal transport journal September 2018
Screening of resonant magnetic perturbation fields by poloidally varying toroidal plasma rotation journal August 2018
Resistive instabilities in general toroidal plasma configurations journal January 1975
Resistive ballooning modes journal January 1981
Validation of MARS-F modeling of plasma response to RMPs using internal measurements on DIII-D journal January 2024
Diffusive particle and heat pinch effects in toroidal plasmas journal October 1989
Feedback and rotational stabilization of resistive wall modes in ITER journal August 2005
A first-principles predictive model of the pedestal height and width: development, testing and ITER optimization with the EPED model journal August 2011
Modelling of plasma response to resonant magnetic perturbation fields in MAST and ITER journal June 2011
Toroidal velocity shear Kelvin–Helmholtz instabilities in strongly rotating tokamak plasmas journal March 2012
Six-field two-fluid simulations of peeling–ballooning modes using BOUT++ journal May 2013
Progress on the application of ELM control schemes to ITER scenarios from the non-active phase to DT operation journal February 2014
The stability of resistive ballooning modes in a high temperature plasma journal December 1985
Resistive ballooning modes and the second region of stability journal June 1987
Oscillation regimes of the internal kink mode in tokamak plasmas journal November 2010
Resonant magnetic perturbations of edge-plasmas in toroidal confinement devices journal November 2015
The role of thermal conduction in tearing mode theory journal March 2015
Low- n stability and plasma response to RMP in various STEP scenarios journal August 2025
Nonlinear two-fluid simulations of type-I edge localized mode crashes in MAST upgrade journal August 2025
A study of resistive peeling–ballooning modes across spherical tokamaks journal August 2025
Effects beyond ideal MHD on stability of wide and enhanced pedestal regimes in NSTX journal September 2025
Recent progress in the quantitative validation of JOREK simulations of ELMs in JET journal May 2017
Modeling 3D plasma boundary corrugation and tailoring toroidal torque profiles with resonant magnetic perturbation fields in ITER journal August 2019
Effects of poloidal and parallel flows on resistive wall mode instability in toroidally rotating plasmas journal October 2019
Modification of favorable average curvature effect by changing parallel sound wave behavior in tokamak plasmas journal April 2021
Importance of resistivity on edge-localized mode onset in spherical tokamaks journal April 2021
Critical role of current-driven instabilities for ELMs in NSTX journal May 2022
MARS-F/K modeling of plasma response and fast ion losses due to RMP in KSTAR journal March 2024
Progress in pedestal and edge physics: Chapter 3 of the special issue: on the path to tokamak burning plasma operation journal April 2025
Two-fluid effects on resistive wall modes in plasmas with negative versus positive triangularity journal June 2025
Influence of electron and ion diamagnetic drifts on kink modes in low-resistivity tokamak plasma journal June 2025
The Electrical Conductivity of an Ionized Gas journal October 1950
Stability of ballooning modes in a rotating plasma journal January 1990
Absence of Complete Finite-Larmor-Radius Stabilization in Extended MHD journal August 2008
Magnetohydrodynamic Stability of a Toroidal Plasma’s Separatrix journal January 2009
Fluid moment models for Landau damping with application to the ion-temperature-gradient instability journal June 1990

Similar Records

A study of resistive peeling–ballooning modes across spherical tokamaks
Journal Article · Wed Aug 20 00:00:00 EDT 2025 · Plasma Physics and Controlled Fusion · OSTI ID:2586708

Effects beyond ideal MHD on stability of wide and enhanced pedestal regimes in NSTX
Journal Article · Wed Sep 17 00:00:00 EDT 2025 · Plasma Physics and Controlled Fusion · OSTI ID:2589446