Hollow toroidal rotation profiles in strongly electron heated H-mode plasmas in the ASDEX Upgrade tokamak

This study on ASDEX Upgrade H-mode plasmas reveals that strong electron heating induces hollow toroidal rotation profiles by generating a counter-current intrinsic torque through a transition to mixed ITG-TEM turbulence, which balances inward convective momentum transport and is critically influenced by pedestal-top density.

C. F. B. Zimmermann, R. M. McDermott, C. Angioni, B. P. Duval, R. Dux, E. Fable, A. Salmi, T. Tala, G. Tardini, T. Pütterich, the ASDEX Upgrade team

Published 2026-03-06
📖 5 min read🧠 Deep dive

Imagine a giant, donut-shaped oven called a tokamak. Inside this oven, scientists are trying to cook the hottest soup in the universe: plasma. To keep this soup stable and hot enough to generate clean energy, the plasma needs to spin. Think of this spinning like a figure skater; the faster and more organized the spin, the more stable the skater is. If the spin gets messy or stops in the middle, the whole system can crash, leading to a loss of heat and potential damage to the machine.

For a long time, scientists had a reliable way to keep the plasma spinning: they shot high-speed beams of particles (like a powerful fan) into the donut. This provided a strong "push" (torque) to keep the rotation going.

However, the future of fusion energy looks different. Future reactors might not have these powerful particle beams, or they might rely more on heating the plasma with microwaves (a method called ECRH). The big question was: What happens to the spin if we turn off the "fan" and just use the "microwave"?

The Mystery of the "Hollow" Spin

In this study, researchers at the ASDEX Upgrade tokamak in Germany played with the controls. They took a plasma that was spinning normally and then cranked up the microwave heating (ECRH) while keeping the particle beam settings exactly the same.

The Result: The plasma did something strange. Instead of spinning faster or staying the same, the center of the plasma suddenly stopped spinning, while the edges kept going. The rotation profile went from a smooth hill (fast in the middle, slow at the edges) to a doughnut shape (slow in the middle, fast at the edges).

They call this a "hollow rotation profile." It's like a spinning top that suddenly stops spinning in the center but keeps spinning on the rim. This is dangerous because the center becomes unstable, like a wobbly wheel.

The Culprit: The "Ghost Wind"

The scientists wanted to know why this happened. Since they didn't change the external "fan" (the torque), something inside the plasma had to be pushing back.

They discovered a "Ghost Wind" (scientifically called intrinsic torque).

  • The Analogy: Imagine you are walking on a moving walkway at an airport. Usually, the walkway pushes you forward. But in this plasma, the microwaves changed the "air" inside the walkway so much that it started creating a wind blowing against you, right in the center.
  • The Cause: The microwaves heated the electrons more than the ions. This changed the "weather" inside the plasma, shifting the turbulence from one type of storm (Ion-Temperature-Gradient) to a mixed storm (a mix of Ion and Trapped-Electron modes). This new storm pattern naturally generates a force that pushes the plasma in the opposite direction of the spin.

The Balancing Act: The "Suction" vs. The "Ghost Wind"

The researchers found that two invisible forces were fighting a tug-of-war in the center of the plasma:

  1. The Ghost Wind (Counter-current Intrinsic Torque): This force tries to stop the spin in the center, creating the "hollow" shape.
  2. The Suction (Inward Convection): This is a force that tries to pull the spinning plasma inward from the edges, trying to fill the hole.

The Experiment's Twist:
The team ran two more experiments to see what tipped the balance:

  • High Density (Crowded Room): They added more gas, making the plasma denser. The "Ghost Wind" won. The center stopped spinning, and the hollow shape appeared.
  • Low Density (Empty Room): They reduced the gas. Because there were fewer particles, the same amount of "push" from the edge made the plasma spin much faster at the rim. This strong edge spin made the "Suction" force much stronger. The Suction overpowered the Ghost Wind, filling in the hole and keeping the center spinning smoothly.

Why This Matters for the Future

This study is a huge clue for building future fusion power plants (like ITER or SPARC).

  • The Problem: Future reactors might not have strong external fans to spin the plasma. They will rely on microwaves. If the plasma gets too dense, the "Ghost Wind" might stop the center from spinning, causing the reactor to fail.
  • The Solution: The study shows that if we can keep the edge of the plasma spinning fast enough (perhaps by managing the density or using magnetic tricks), the "Suction" force will naturally fill in the hole and keep the center stable.

In a Nutshell

The scientists discovered that heating plasma with microwaves can create an invisible "ghost wind" that stops the center from spinning. However, if the plasma is dense enough, this wind wins and creates a dangerous hollow shape. But if the plasma is less dense, the edge spins faster, creating a "suction" that pulls the spin back into the center, saving the day. This helps us understand how to keep future fusion reactors stable without needing massive external fans.