skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on July 16, 2021

Title: Bifurcations of the magnetic axis and the alternating-hyperbolic sawtooth

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [2]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Leiden Univ. (Netherlands). Huygens-Kamerlingh Onnes Lab.
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES); Netherlands Organization for Scientific Research (NWO)
OSTI Identifier:
1660537
Alternate Identifier(s):
OSTI ID: 1638907
Grant/Contract Number:  
AC02-09CH11466; 680-50-1532
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Fusion
Additional Journal Information:
Journal Volume: 60; Journal Issue: 8; Journal ID: ISSN 0029-5515
Publisher:
IOP Science
Country of Publication:
United States
Language:
English

Citation Formats

Smiet, C. B., Kramer, G. J., and Hudson, S. R. Bifurcations of the magnetic axis and the alternating-hyperbolic sawtooth. United States: N. p., 2020. Web. doi:10.1088/1741-4326/ab9a0d.
Smiet, C. B., Kramer, G. J., & Hudson, S. R. Bifurcations of the magnetic axis and the alternating-hyperbolic sawtooth. United States. doi:10.1088/1741-4326/ab9a0d.
Smiet, C. B., Kramer, G. J., and Hudson, S. R. Thu . "Bifurcations of the magnetic axis and the alternating-hyperbolic sawtooth". United States. doi:10.1088/1741-4326/ab9a0d.
@article{osti_1660537,
title = {Bifurcations of the magnetic axis and the alternating-hyperbolic sawtooth},
author = {Smiet, C. B. and Kramer, G. J. and Hudson, S. R.},
abstractNote = {},
doi = {10.1088/1741-4326/ab9a0d},
journal = {Nuclear Fusion},
number = 8,
volume = 60,
place = {United States},
year = {2020},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on July 16, 2021
Publisher's Version of Record

Save / Share:

Works referenced in this record:

A description of the full-particle-orbit-following SPIRAL code for simulating fast-ion experiments in tokamaks
journal, January 2013


The physics of sawtooth stabilization
journal, November 2007


Persistent density perturbations at rational- q surfaces following pellet injection in the Joint European Torus
journal, November 1987


Unified theory of the semi-collisional tearing mode and internal kink mode in a hot tokamak: implications for sawtooth modelling
journal, January 2012


Model for Incomplete Reconnection in Sawtooth Crashes
journal, December 2011


Measurement of the rotational transform at the axis of a tokamak
journal, June 1987


Sawtooth oscillations with the central safety factor, q 0 , below unity
journal, June 1992


q ‐profile measurements in the Tokamak Fusion Test Reactor*
journal, July 1993

  • Levinton, F. M.; Batha, S. H.; Yamada, M.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 7
  • DOI: 10.1063/1.860743

Poloidal field measurements during sawteeth and disruptions on MTX
journal, January 1994


A new explanation of the sawtooth phenomena in tokamaks
journal, March 2020

  • Jardin, S. C.; Krebs, I.; Ferraro, N.
  • Physics of Plasmas, Vol. 27, Issue 3
  • DOI: 10.1063/1.5140968

Self-Organized Stationary States of Tokamaks
journal, November 2015


Rapid Change of Field line Connectivity and Reconnection in Stochastic Magnetic Fields
journal, September 2014


Studies of Internal Disruptions and m = 1 Oscillations in Tokamak Discharges with Soft—X-Ray Tecniques
journal, November 1974


The effect of toroidal plasma rotation on sawteeth in MAST
journal, October 2006


Snake-like density perturbations in JET
journal, May 1992


�ber Abbildung von Mannigfaltigkeiten
journal, March 1911


Fluid electron, gyrokinetic ion simulations of linear internal kink and energetic particle modes
journal, July 2014

  • Cole, Michael; Mishchenko, Alexey; Könies, Axel
  • Physics of Plasmas, Vol. 21, Issue 7
  • DOI: 10.1063/1.4890833

Sawtooth oscillations
journal, January 1986


Two‐Dimensional Measure‐Preserving Mappings
journal, May 1968

  • Greene, John M.
  • Journal of Mathematical Physics, Vol. 9, Issue 5
  • DOI: 10.1063/1.1664639

Comparison of poloidal field measurements on JET
journal, April 1993


The combined effect of EPMs and TAEs on energetic ion confinement and sawtooth stabilization
journal, May 2001


Stabilization of Sawteeth with Additional Heating in the JET Tokamak
journal, May 1988


Off-Axis Sawteeth and Double-Tearing Reconnection in Reversed Magnetic Shear Plasmas in TFTR
journal, October 1996


Investigation of magnetic reconnection during a sawtooth crash in a high‐temperature tokamak plasma
journal, October 1994

  • Yamada, M.; Levinton, F. M.; Pomphrey, N.
  • Physics of Plasmas, Vol. 1, Issue 10
  • DOI: 10.1063/1.870479

Determination of the safety factor in sawtoothing discharges in DIII‐D
journal, October 1991

  • Wróblewski, D.; Lao, L. L.
  • Physics of Fluids B: Plasma Physics, Vol. 3, Issue 10
  • DOI: 10.1063/1.859920

Measurement of current‐density changes during sawtooth activity in a tokamak by far‐infrared polarimetry (invited)
journal, August 1988

  • Soltwisch, H.
  • Review of Scientific Instruments, Vol. 59, Issue 8
  • DOI: 10.1063/1.1140159

Sawtooth modulation of the poloidal field in TEXTOR under ohmic heating conditions
journal, June 1995


Discharges with Safety Factor, q , <1 in a Noncircular Tokamak
journal, September 1982


Dynamics of the Sawtooth Collapse in Tokamak Plasmas
journal, August 1994


Fast particle stabilisation
journal, November 1991


Fifteen chord FIR polarimetry system on MTX
journal, October 1992

  • Rice, B. W.
  • Review of Scientific Instruments, Vol. 63, Issue 10
  • DOI: 10.1063/1.1143527

Formation of current sheets in magnetic reconnection
journal, July 2014


Current distribution measurement in a tokamak by FIR polarimetry (invited)
journal, August 1986

  • Soltwisch, H.
  • Review of Scientific Instruments, Vol. 57, Issue 8
  • DOI: 10.1063/1.1138803

Neutral beam stabilization of sawtooth oscillations in JET
journal, January 2002

  • Angioni, C.; Pochelon, A.; Gorelenkov, N. N.
  • Plasma Physics and Controlled Fusion, Vol. 44, Issue 2
  • DOI: 10.1088/0741-3335/44/2/305

Tomography of full sawtooth crashes on the Tokamak Fusion Test Reactor
journal, May 1996

  • Nagayama, Y.; Yamada, M.; Park, W.
  • Physics of Plasmas, Vol. 3, Issue 5
  • DOI: 10.1063/1.872025

A method for determining a stochastic transition
journal, June 1979

  • Greene, John M.
  • Journal of Mathematical Physics, Vol. 20, Issue 6
  • DOI: 10.1063/1.524170

Kinetic extensions of magnetohydrodynamics for axisymmetric toroidal plasmas
journal, February 1992