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April 17, 2026Physics of Plasmas0 citationsOpen Access

Fluctuation-induced dynamo electromotive forces in current-driven tokamak sawtooth relaxation

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KMK.J. McCollamUniversity of Wisconsin–MadisonBCB. E. ChapmanJSJ.S. SarffUniversity of Wisconsin–Madison

Key Points

  • The study aims to explain the role of fluctuation-induced dynamo EMF in current-driven sawtooth cycles in tokamak.
  • Performed nonlinear simulations using the NIMROD code.
  • Analyzed the pulsing dynamo EMF synchronous with fluid velocity and magnetic fluctuations.
  • Examined changes in the safety factor profile during sawtooth relaxation.
  • Identified significant dynamo EMF influences on the q profile during sawtooth events.
  • Observed changes in on-axis q of approximately Δq0≈0.1 during relaxation events.
  • Demonstrated the inductive plasma response affects dynamo activity in sawtooth behavior.

Abstract

We show how a fluctuation-induced dynamo electromotive force (EMF) is responsible for a Kadomtsev-like, current-driven tokamak sawtooth cycle in zero-thermal-pressure, visco-resistive magnetohydrodynamics (MHD), via nonlinear simulations performed with the NIMROD code. We observe a pulsing fluctuation-induced dynamo EMF that, synchronous with time-evolving fluid velocity and magnetic fluctuation energies, arises naturally in the relaxation process, repeatedly driving the safety factor q profile within the q=1 surface from below to above unity during the quasiperiodic crash-like relaxation events, each with a change in on-axis q of roughly Δq0≈0.1. We show how the structures of the velocity and magnetic fluctuations lead to the form of the dynamo EMF and how its structure changes during the sawtooth cycle, consistent with its current profile flattening effect in the sawtooth crash. The process demonstrates the importance of the inductive plasma response in balancing the dynamo in sawtooth activity. We also discuss higher-dissipation cases exhibiting steady helical cores, whose quiescent dynamo EMF modifies the equilibrium profile in a way similar to sawtooth crash relaxation. This work expands the description of the MHD dynamo's importance beyond its role in maintaining quiescent core q profiles in sawtoothing or sawtooth-free tokamak states to its role in modulating the q profile during current-driven sawtooth activity.

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Cite This Study

McCollam et al. (2026) studied this question.

synapsesocial.com/papers/69e1cf625cdc762e9d8584a6https://doi.org/10.1063/5.0300072
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