# Levitated Dipole Experiment

LDX
Levitated Dipole Experiment
A picture of the LDX chamber on 25 Jan 2010
Device typeLevitated dipole
LocationCambridge, Massachusetts, United States
AffiliationMIT Plasma Science and Fusion Center
Technical specifications
Major radius0.34 m (1 ft 1 in)
History
Year(s) of operation2004–2011
Related devicesCollisionless Terrella Experiment (CTX)
WebsiteThe Levitated Dipole eXperiment website

The Levitated Dipole Experiment (LDX) was an experiment investigating the generation of fusion power using the concept of a levitated dipole. The device was the first of its kind to test the levitated dipole concept and was funded by the US Department of Energy.[1] The machine was also part of a collaboration between the MIT Plasma Science and Fusion Center and Columbia University, where another levitated dipole experiment, the Collisionless Terrella Experiment (CTX), was located.[2]

LDX ceased operations in November 2011 when its funding from the Department of Energy ended as resources were being diverted to tokamak research.[3]

## Concept and development

The concept of the levitated dipole as a fusion reactor was first theorized by Akira Hasegawa in 1987.[4] The concept was later proposed as an experiment by Jay Kesner of MIT and Michael Mauel of Columbia University in 1997.[5] The pair assembled a team and raised money to build the machine. They achieved first plasma on Friday, August 13, 2004 at 12:53 PM. First plasma was done by (1) successfully levitating the dipole magnet and (2) RF heating the plasma.[6] The LDX team has since successfully conducted several levitation tests, including a 40-minute suspension of the superconducting coil on February 9, 2007.[7] Shortly after, the coil was damaged in a control test in February 2007 and replaced in May 2007.[8] The replacement coil was inferior, a copper wound electromagnet, that was also water cooled. Scientific results, including the observation of an inward turbulent pinch, were reported in Nature Physics.[9]

## The Machine

### The Dipole

This experiment needed a very special free-floating electromagnet, which created the unique "toilet-bowl" magnetic field. The magnetic field was originally made of two counter-wound rings of currents. Each ring contained a 19-strand niobium-tin Rutherford cable (common in superconducting magnets). These looped around inside an Inconel magnet; a magnet that looked like an oversized donut. The donut was charged using induction. Once charged, it generated a magnetic field for roughly an 8-hour period. Overall, the ring weighed 450 kilograms and levitated 1.6 meters above a superconducting ring.[10] The ring produced roughly a 5-tesla field.[11] This superconductor was encased inside a liquid helium, which kept the electromagnet below 10 kelvins.[11] This design is similar to the D20 dipole experiment at Berkeley and the RT-1 experiment at the University of Tokyo.[12]

### Chamber

The dipole was suspended inside a mushroom-shaped vacuum chamber, which was about 5 meters in diameter and ~3 meters high.[13] At the base of the chamber was a charging coil. This coil is used to charge the dipole, using induction. The coil exposing the dipole to a varying magnetic field. Next, the dipole is raised into the center of the chamber. This could be done with supports or using the field itself. Around the outside of this chamber were Helmholtz coils, which were used to produce a uniform surrounding magnetic field. This external field would interact with the dipole field, suspending the dipole. It was in this surrounding field that plasma moved. The plasma forms around the dipole and inside the chamber. The plasma is formed by heating a low pressure gas. The gas is heated using a radio frequency, essentially microwaving the plasma in a 17-kilowatt field.[14]

### The Diagnostics

A flux loop is a loop of wire. The magnetic field passes through the wire loop. As the field varied inside the loop, it generated a current. This was measured and from the signal the magnetic flux was measured.

The machine was monitored using diagnostics fairly standard to all of fusion. These included:

1. A Flux loop. This is a loop of wire. The magnetic field passes through the wire loop. As the field varied inside the loop, it generated a current. This was measured and from the signal the magnetic flux was measured.
2. An X-ray detector.[15] This diagnostic measured the X-rays emitted. From this, the plasmas' temperature was found. There were four of these inside the machine, each measuring along a cord (or line out) inside the machine.[15] This detector was good for measuring electrons, typically around 100 electron-volts. All plasma loses energy by emitting light. This covers the whole spectrum: visible, IR, UV, and X-rays. This occurs anytime a particle changes speed, for any reason.[16] If the reason is deflection by a magnetic field, the radiation is Cyclotron radiation at low speeds and Synchrotron radiation at high speeds. If the reason is deflection by another particle, plasma radiates X-rays, known as Bremsstrahlung radiation.
3. An X-ray Camera.[17] This can read lower energy X-rays.
4. A Conventional Video Camera [17]
5. An emissive Langmuir probe. A Langmuir probe is a wire, stuck into a plasma, which absorbs the surrounding charged particles. You can vary the voltage on this wire. As the voltage changes, the charged particles absorbed change, making an IV curve. This can be read and used to measure the density and temperature of the nearby plasma.
6. A triple Langmuir probe[17]
7. A dozen Langmuir probes grouped together[17]

## Behavior

Single Ion Motion inside the LDX
Bulk plasma behavior inside the LDX [18]

Single particles corkscrew along the field lines, flowing around the dipole electromagnet. This leads to a giant encapsulation of the electromagnet. As material passes through the center, the density spikes.[18] This is because much plasma is trying to squeeze through a limited area. This is where most of the fusion reactions occur. This behavior has been called a turbulent pinch.

In large amounts, the plasma formed two shells around the dipole: a low-density shell, occupying a large volume and a high-density shell, closer to the dipole.[18] This is shown here. The plasma was trapped fairly well. It gave a maximum beta number of 0.26.[19] A value of 1 is ideal.

### Modes of Operation

There were two modes of operation observed:[20]

1. Hot electron interchange: a lower density, mostly electron plasma.
2. A more conventional Magnetohydrodynamic mode

These had been proposed by Nicholas Krall in the 1960s.[21]

### Tritium Suppression

In the case of deuterium fusion (the cheapest and most straightforward fusion fuel) the geometry of the LDX has the unique advantage over other concepts. Deuterium fusion makes two products, that occur with near equal probability:

${\displaystyle {\ce {D + D -> T + ^1H}}}$
${\displaystyle {\ce {D + D -> ^3He + n}}}$

In this machine, the secondary tritium could be partially removed, a unique property of the dipole.[22] Another fuel choice is tritium and deuterium. This reaction can be done at lower heats and pressures. But it has several drawbacks. First, tritium is far more expensive than deuterium. This is because tritium is rare. It has a short half-life making it hard to produce and store. It is also considered a hazardous material, so using it is a hassle from a health, safety and environmental perspective. Finally, tritium and deuterium produces fast neutrons which means any reactor burning it would require heavy shielding.

## References

1. ^ "Levitated Dipole Experiment". www-internal.psfc.mit.edu. Retrieved 2020-06-22.
2. ^ "CTX". sites.apam.columbia.edu. Retrieved 2020-06-22.
3. ^ "LDX funding canceled". Archived from the original on 2013-01-17. Retrieved June 27, 2012.
4. ^ Hasegawa, Akira (1987). "A dipole field fusion reactor". Comments on Plasma Physics and Controlled Fusion. 11 (3): 147–151. ISSN 0374-2806.
5. ^ Kesner, J; Mauel, M (1997). "Plasma Confinement in a Levitated Magnetic Dipole" (PDF). Plasma Physics Reports. 23.
6. ^ "LDX begins first plasma experiments". Levitated Dipole Experiment. 13 August 2004. Retrieved 7 August 2016.
7. ^ "First flight and damaged L-coil". Levitated Dipole Experiment. 9 March 2009.
8. ^ "Levitation coil replacement". Levitated Dipole Experiment. 21 May 2007.
9. ^ Boxer, A. C; Bergmann, R; Ellsworth, J. L; Garnier, D. T; Kesner, J; Mauel, M. E; Woskov, P (2010). "Turbulent inward pinch of plasma confined by a levitated dipole magnet". Nature Physics. 6 (3): 207. Bibcode:2010NatPh...6..207B. doi:10.1038/nphys1510.
10. ^ "The Levitated Dipole Experiment". MIT. Retrieved 7 August 2016.
11. ^ a b "Design and Fabrication of the Cryostat for the Floating Coil of the Levitated Dipole Experiment (LDX)" A. Zhukovsky, M. Morgan, D. Garnier, A. Radovinsky, B. Smith, J. Schultz, L. Myatt, S. Pourrahimi, J. Minervini.
12. ^ "Turbulent Transport in a Laboratory Magnetospheric Dipole" European Physical Society 38th Conference on Plasma Physics, Strasbourg, France June 28, 2011.
13. ^ presentation"LDX Machine Design and Diagnostics" APS DPP meeting 1998, Garnier and Mauel
14. ^ "Optimization of Hot Electron Diagnostics on LDX" Nogami, Woskov, Kesner, Garnier, Mauel, 2009
15. ^ a b "X-Ray Diagnostics for the Levitated Dipole Experiment" Jennifer L. Ellsworth, Master's Thesis, MIT 2004
16. ^ J. Larmor, "On a dynamical theory of the electric and luminiferous medium", Philosophical Transactions of the Royal Society 190, (1897) pp. 205–300 (Third and last in a series of papers with the same name).
17. ^ a b c d "Diagnostic setup for spatial and temporal measurements of plasma fluctuations using electric probes in the LDX" E Ortiz, M Mauel, D Garnier, 45th DPP meeting, October 2003
18. ^ a b c "Overview of LDX Results" Jay Kesner, A. Boxer, J. Ellsworth, I. Karim, Presented at the APS Meeting, Philadelphia, November 2, 2006, Paper VP1.00020
19. ^ "Improved Confinement During Magnetic Levitation in LDX", 50th Annual Meeting of the APS DDP, November 18, 2008 M Manuel
20. ^ "Helium Catalyzed D-D Fusion in a Levitated Dipole" Presentation Kesner, Catto, Krasheninnikova APS 2005 DPP Meeting, Denver
21. ^ "Stabilization of Hot Electron Plasma by a Cold Background" N Krall, Phys. Fluids 9, 820 (1966)
22. ^ "Fusion Technologies for Tritium-Suppressed D-D Fusion" White Paper prepared for FESAC Materials Science Subcommittee, M. E. Mauel and J. Kesner, December 19, 2011