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Experimental signatures of homoclinic tangles in poloidally diverted tokamaks

Journal Article · · Journal of Physics. Conference Series
 [1];  [2];  [3];  [4];  [5];  [5]
  1. General Atomics, San Diego, CA (United States)
  2. Cornell Univ., Ithaca, NY (United States)
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  4. Harvard Univ., Cambridge, MA (United States)
  5. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Small non-axisymmetric perturbations of poloidally diverted tokamaks create edge stochastic magnetic field lines that connect to material surfaces such as those in the divertors. Separatrix structure calculations show that the distribution of stochastic field lines on the vessel walls is closely related to the topology of homoclinic tangles formed in the perturbed system. Since these tangles prescribe how the stochastic fields are organized, they are of significant practical interest in tokamak experiments. Experimental measurements of heat and particle distributions on plasma facing surfaces sometimes show split peak patterns that are consistent with the presence of stochasticity and homoclinic tangles. These split peaks are often observed during locked modes and other types of edge instabilities. They are also observed when perturbation fields from magnetohydrodynamic control coils are pulsed during a plasma discharge. Numerical modeling of the perturbation field from these control coils shows that the homoclinic tangle produced by a coil pulse is not always large enough to produce the splitting patterns observed. Nevertheless, there is a clear correlation between the coil pulses and the appearance of the split profiles. These results suggest the presence of the plasma amplification mechanism that enhances the size of the non-resonant homoclinic tangles.

Research Organization:
General Atomics, San Diego, CA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
FC02-04ER54698; W-7405-ENG-48
OSTI ID:
836418
Alternate ID(s):
OSTI ID: 20669319
OSTI ID: 884797
Report Number(s):
GA-A24948
Journal Information:
Journal of Physics. Conference Series, Journal Name: Journal of Physics. Conference Series Vol. 7; ISSN 1742-6588
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English

References (22)

Homoclinic tangles, bifurcations and edge stochasticity in diverted tokamaks journal April 2004
Measurements of non-axisymmetric effects in the DIII-D divertor journal April 1995
Escape patterns, magnetic footprints, and homoclinic tangles due to ergodic magnetic limiters journal December 2002
Modeling of stochastic magnetic flux loss from the edge of a poloidally diverted tokamak journal December 2002
Explicit calculations of homoclinic tangles in tokamaks journal September 2003
Physical interpretation of certain invariants for vortex filament motion under LIA journal May 1992
Effect of nonaxisymmetric perturbations on the structure of a tokamak poloidal divertor journal April 1992
Reconstruction of current profile parameters and plasma shapes in tokamaks journal November 1985
Widening the magnetic footprints in a poloidal divertor tokamak: a proposal journal April 1998
A design retrospective of the DIII-D tokamak journal May 2002
Observation of SOL current correlated with MHD activity in NBI heated DIII-D tokamak discharges journal September 2004
H-mode pedestal, ELM and power threshold studies in NSTX journal August 2005
Nonaxisymmetric Energy Deposition Pattern on ASDEX Upgrade Divertor Target Plates during Type-I Edge-Localized Modes journal November 2003
Suppression of Large Edge-Localized Modes in High-Confinement DIII-D Plasmas with a Stochastic Magnetic Boundary journal June 2004
Spatial and Temporal Structure of Edge-Localized Modes journal June 2004
Symplectic maps, variational principles, and transport journal July 1992
Physics of Chaos in Hamiltonian Systems journal July 1998
H-Mode Turbulence, Power Threshold, ELM, and Pedestal Studies in NSTX report October 2004
Nonaxisymmetric Energy Deposition Pattern on ASDEX Upgrade Divertor Target Plates during Type-I Edge-Localized Modes journal November 2003
Suppression of Large Edge-Localized Modes in High-Confinement DIII-D Plasmas with a Stochastic Magnetic Boundary journal June 2004
Spatial and Temporal Structure of Edge-Localized Modes journal June 2004
Symplectic maps, variational principles, and transport journal July 1992

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