Related Experiment Video
Updated: May 24, 2026

06:42
Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Transport-driven toroidal rotation in the tokamak edge
1Max-Planck-Institut für Plasmaphysik, EURATOM Association, Garching, Germany. tstoltzf@ipp.mpg.de
Physical Review Letters
|March 10, 2012
Summary
Passing-ion drift orbits interacting with radial transport cause spontaneous toroidal spin-up in tokamak edge models. This phenomenon, driven by orbit shifts and leading to residual stress, influences plasma rotation, with X-points further modifying rotation direction.
Area of Science:
- Plasma physics
- Fusion energy research
- Tokamak edge physics
Background:
- Tokamak devices are crucial for fusion energy research.
- Understanding plasma rotation is key to controlling tokamak performance.
- The tokamak edge plasma is complex and influences overall stability.
Purpose of the Study:
- To investigate the mechanism of spontaneous toroidal spin-up in tokamak edge models.
- To analyze the role of passing-ion drift orbits and radial transport in generating intrinsic rotation.
- To explore how plasma parameters and magnetic geometry affect rotation.
Main Methods:
- Development of a simple theoretical model for tokamak edge plasma.
- Analysis of the interaction between passing-ion drift orbits and diffusive radial transport.
- Examination of orbit-averaged diffusivities dependence on v(∥) and residual stress generation.
Main Results:
- Demonstrated spontaneous toroidal spin-up due to the interaction of drift orbits and radial transport.
- Identified that major-radial orbit shifts cause v(∥)-dependent diffusivities, leading to residual stress.
- Observed intrinsic rotation scaling with T(i)/B(θ) at the pedestal top.
- Found that inboard (outboard) X-points enhance co- (counter)current rotation.
Conclusions:
- The study provides a physical mechanism for intrinsic rotation generation in tokamak edge plasmas.
- The model successfully reproduces key experimental scalings of intrinsic rotation.
- Magnetic geometry, specifically X-point location, significantly impacts plasma rotation, offering potential control knobs.
Related Concept Videos
Torque On A Current Loop In A Magnetic Field
The most common application of magnetic force on current-carrying wires is in electric motors. These consist of loops of wire, which are placed between the magnets with a magnetic field. When current flows through the loops, the magnetic field applies torque, which causes the shaft to rotate, thus converting electrical energy to mechanical energy.
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
Toroids
A toroid is a closely wound donut-shaped coil constructed using a single conducting wire. In general, it is assumed that a toriod consists of multiple circular loops perpendicular to its axis.
When connected to a supply, the magnetic field generated in the toroid has field lines circular and concentric to its axis. Conventionally, the direction of this magnetic field is expressed using the right-hand rule. If the fingers of the right hand curl in the current direction, the thumb points in the...
When connected to a supply, the magnetic field generated in the toroid has field lines circular and concentric to its axis. Conventionally, the direction of this magnetic field is expressed using the right-hand rule. If the fingers of the right hand curl in the current direction, the thumb points in the...
Torque Free Motion
The torque-free motion refers to the movement of a rigid body in space when no external torques are acting upon it. This type of motion can be observed in environments where there are no external forces or frictions, like in outer space. For example, a rotation of Mars in space is a torque-free motion. Mars is an axisymmetric object, meaning it has an axis of symmetry along which it rotates, designated as the z-axis. The rotating frame of reference is defined such that the center of mass of...
Atomic Nuclei: Nuclear Relaxation Processes
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis, the precessing magnetic moments are randomly oriented around the z-axis. This...
Magnetic Field due to Moving Charges
A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Torque
Torque is an important quantity for describing the dynamics of a rotating rigid body. We see the application of torque in many ways in the world, such as when pressing the accelerator in a car, which causes the engine to apply additional torque on the drivetrain. Here, we define torque and provide a framework to create an equation to calculate torque for a rigid body with fixed-axis rotation.
Torque can be considered as the rotational counterpart to force. Since forces change the translational...
Torque can be considered as the rotational counterpart to force. Since forces change the translational...

