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Title: A new explanation of the sawtooth phenomena in tokamaks

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.5140968· OSTI ID:1606331

The ubiquitous sawtooth phenomena in tokamaks are so named because the central temperature rises slowly and falls rapidly, similar to the blades of a saw. First discovered in 1974, it has so far eluded a theoretical explanation that is widely accepted and consistent with experimental observations. We propose here a new theory for the sawtooth phenomena in auxiliary heated tokamaks, which is motivated by our recent understanding of “magnetic flux pumping.” In this theory, the role of the (m, n) = (1, 1) mode is to generate a dynamo voltage, which keeps the central safety factor, q0, just above 1.0 with low central magnetic shear. When central heating is present, the temperature on axis will increase until at some point, and the configuration abruptly becomes unstable to ideal MHD interchange modes with equal poloidal and toroidal mode numbers, m = n > 1. It is these higher order modes and the localized magnetic stochasticity they produce that cause the sudden crash of the temperature profile, not magnetic reconnection. In conclusion, long time 3D MHD simulations demonstrate these phenomena, which appear to be consistent with many experimental observations.

Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-09CH11466; AC02-05CH11231; WP19-20-ERG-DIFFR/Krebs
OSTI ID:
1606331
Alternate ID(s):
OSTI ID: 1606066
Journal Information:
Physics of Plasmas, Vol. 27, Issue 3; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 22 works
Citation information provided by
Web of Science

References (60)

Numerical modelling of sawtooth crash using two-fluid equations journal September 2015
Evidence of the complete magnetic reconnection during a sawtooth collapse in a tokamak journal August 1993
Validation of the ‘full reconnection model’ of the sawtooth instability in KSTAR journal April 2018
Magnetic-Flux Pumping in High-Performance, Stationary Plasmas with Tearing Modes journal January 2009
Radially resolved measurements of ’’q’’ on the adiabatic toroidal compressor tokamak journal January 1978
Reconstruction of current profile parameters and plasma shapes in tokamaks journal November 1985
High harmonic ion cyclotron heating in DIII-D: Beam ion absorption and sawtooth stabilization journal October 1999
Measurement of the rotational transform at the axis of a tokamak journal June 1987
Controlling sawtooth oscillations in tokamak plasmas journal November 2010
M3D-K simulations of sawteeth and energetic particle transport in tokamak plasmas journal September 2014
Structure and dynamics of sawteeth crashes in ASDEX Upgrade journal December 2010
Toroidal internal kink stability in tokamaks with ultra flat q profiles journal April 1988
Study of slow n = 1, m = 1 reconnection in JET discharges with low central magnetic shear journal June 2006
Studies of Internal Disruptions and m = 1 Oscillations in Tokamak Discharges with Soft—X-Ray Tecniques journal November 1974
Compressible magnetohydrodynamic sawtooth crash journal February 2014
Sensitivity of magnetic field-line pitch angle measurements to sawtooth events in tokamaks journal September 2016
Nonlinear studies of m =1 modes in high‐temperature plasmas journal November 1992
Comparison of poloidal field measurements on JET journal April 1993
Investigation of magnetic reconnection during a sawtooth crash in a high‐temperature tokamak plasma journal October 1994
Two-dimensional transport of tokamak plasmas journal January 1979
Oscillation regimes of the internal kink mode in tokamak plasmas journal November 2010
Magnetic flux pumping in 3D nonlinear magnetohydrodynamic simulations journal October 2017
Linear and nonlinear simulations of the visco-resistive internal kink mode using the M3D code journal August 2018
Saturated ideal modes in advanced tokamak regimes in MAST journal March 2010
Formation and Stability of Impurity “Snakes” in Tokamak Plasmas journal February 2013
Numerical simulations of ideal internal kink modes with flat central q-profile journal February 1988
Determination of the shear on the q = 1 surface of the JET tokamak journal May 1989
Integrated scenario in JET using real-time profile control journal November 2003
Determination of q during sawtooth from inverse evolution of BAEs in Tore Supra journal November 2017
An iterative metric method for solving the inverse tokamak equilibrium problem journal September 1980
Measurements of the Tokamak-Safety-Factor Profile by Means of Driven Resonant Alfvén Waves journal January 1989
Integrated Tokamak modeling: When physics informs engineering and research planning journal May 2018
Sawtooth induced q -profile evolution at ASDEX Upgrade journal March 2019
Magnetohydrodynamic modes driven by anomalous electron viscosity and their role in fast sawtooth crashes journal September 1990
The non-resonant kink modes triggering strong sawtooth-like crashes in the EAST tokamak journal November 2014
Observation of heat transfer across x point of the islands during sawtooth crash on the HT-7 tokamak journal April 2009
Stochastic sawtooth reconnection in ASDEX Upgrade journal December 2006
Sawtooth-driven neoclassical tearing modes in HL-2A plasmas journal October 2012
Local properties of magnetic reconnection in nonlinear resistive- and extended-magnetohydrodynamic toroidal simulations of the sawtooth crash journal December 2016
Self-Organized Stationary States of Tokamaks journal November 2015
Sawtooth oscillations in shaped plasmas journal May 2007
Long-pulse hybrid scenario development in JT-60U journal May 2009
Safety factor on the axis of a tokamak during Ohmically heated sawtoothing discharges from a localized measurement of circular polarization of the Li i 6708 Å line journal April 1990
Rapid Collapse of a Plasma Sawtooth Oscillation in the JET Tokamak journal July 1986
Toroidal studies of sawtooth oscillations in tokamaks journal April 1989
Fast sawtooth reconnection at realistic Lundquist numbers journal November 2014
On resistive magnetohydrodynamic studies of sawtooth oscillations in tokamaks journal March 2015
Sawtooth oscillations journal January 1986
Observation of Instability-Induced Current Redistribution in a Spherical-Torus Plasma journal August 2006
Measurement of current‐density changes during sawtooth activity in a tokamak by far‐infrared polarimetry (invited) journal August 1988
Relaxation Instability in Tokamaks journal July 1976
Steady state advanced scenarios at ASDEX Upgrade journal November 2002
Some properties of the M3D-C1 form of the three-dimensional magnetohydrodynamics equations journal September 2009
Determination of the Poloidal Magnetic Field Profiles in a Tokamak by Polarization Spectroscopy of an Impurity Ion Line journal October 1988
Collisionless m=1 tearing mode journal January 1991
Onset of high- n ballooning modes during tokamak sawtooth crashes journal December 1999
Multiple timescale calculations of sawteeth and other global macroscopic dynamics of tokamak plasmas journal January 2012
Stability of low-shear tokamaks journal January 1988
Destabilization of Fast-Ion-Induced Long Sawteeth by Localized Current Drive in the JET Tokamak journal June 2004
Tungsten impurity transport experiments in Alcator C-Mod to address high priority research and development for ITERa) journal May 2015

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