EXPLICT CALULATIONS OF HOMOCLINIC TANGLES SURROUNDING MAGNETIC ISLANDS IN TOKAMAKS

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We present explicit calculations of the complicated geometric objects known as homoclinic tangles that surround magnetic islands in the Poincare mapping of a tokamak's magnetic field. These tangles are shown to exist generically in the magnetic field of all toroidal confinement systems. The geometry of these tangles provides an explanation for the stochasticity known to occur near the X-points of the Poincare mapping. Furthermore, the intersection of homoclinic tangles from different resonances provides an explicit mechanism for the non-diffusive transport of magnetic field lines between these resonance layers.

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ROEDER, R.K.W.; RAPOPORT, B.I. & EVANS, T.E. June 1, 2002.

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We present explicit calculations of the complicated geometric objects known as homoclinic tangles that surround magnetic islands in the Poincare mapping of a tokamak's magnetic field. These tangles are shown to exist generically in the magnetic field of all toroidal confinement systems. The geometry of these tangles provides an explanation for the stochasticity known to occur near the X-points of the Poincare mapping. Furthermore, the intersection of homoclinic tangles from different resonances provides an explicit mechanism for the non-diffusive transport of magnetic field lines between these resonance layers.

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Medium: X; Size: 18 pages

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INIS; Oakland Operations Office, Oakland, CA

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  • Journal Name: PHYSICS PLASMAS; Other Information: Submitted to PHYSICS PLASMAS

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  • Report No.: NONE
  • Grant Number: AC03-99ER54463
  • Office of Scientific & Technical Information Report Number: 804455
  • Archival Resource Key: ark:/67531/metadc734327

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  • June 1, 2002

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  • Oct. 19, 2015, 7:39 p.m.

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  • June 17, 2016, 1:50 p.m.

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ROEDER, R.K.W.; RAPOPORT, B.I. & EVANS, T.E. EXPLICT CALULATIONS OF HOMOCLINIC TANGLES SURROUNDING MAGNETIC ISLANDS IN TOKAMAKS, article, June 1, 2002; United States. (https://digital.library.unt.edu/ark:/67531/metadc734327/: accessed May 25, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.