Phase Space Structures in Toroidal Ion Temperature Gradient Turbulence

POSTER

Abstract

The velocity space structures of the ion distribution function associated with toroidal ion temperature gradient (ITG) driven turbulence is shown for the almost collisionless regime relevant to burning fusion plasmas. The zonal flows are taken into account and the geodesic acoustic mode (GAM) is reproduced with the neoclassical polarization from the trapped ions as well as the ballistic mode structures. Detailed plots of the ion velocity space showing clearly the different response of the trapped and passing ions in the zonal flows and the ITG modes are presented. The fine scale structures are resolved with velocity grid of $1025\times65$ which resolves the structures down to $\nu_{*i} =0.04$ deep into the banana regime. Runs are sufficiently long in time to establish a steady state in which the entropy production from the ion temperature gradient is followed through the turbulence and dissipated with a Lenard-Bernstein collision operator on the smalles scale of the velocity grid. The resulting gyro-Bohm coefficient for is 1.4 for the usual Cyclone DIII-D base case as reported in Watanabe and Sugama 2006.

Authors

  • Barbara Jacak

    Texas A\&M University, University of Minnesota, Radiation Monitoring Devices, Inc., Livermore National Laboratory, MIT, Association EUTRATOM-CEA, CEA/DSM/DRFC, CEA Cadarache, 13108 St Paul Lez Durance France, University of Munich, Germany, LNS Catania, Italy, NASA Langley Research Center, Fermilab, University of Florida, Princeton Plasma Physics Laboratory, Princeton, NJ, U.S.A., Courant Institute, New York University, New York, U.S.A., Department of Physics, Harvard University, Department of Physics, McGill University, University of Illinois at Chicago, for the LIGO Scientific Collaboration, Stanford University, DESY, LPSC, Grenoble, France, University of Arizona, Cornell University, University of Wisconsin -- Milwaukee, Case Western Reserve University, Space Science Center and Department of Physics, University of New Hampshire, University of Chicago, Fermi National Accelerator Laboratory, University of Wisconsin, Lawrence Livermore National Laboratory, Princeton Plasma Physics Lab., ORNL, Politecnico diTorino, Max-Planck Institute for Plasma Physics, MIT-PSFC, UCLA Physics Department, Abastumani Astrophysical Observatory, A. Kazbegi 2a, Tbilisi 0160, Georgia, NYU, PPPL, Columbia University, UC-Davis, UCLA, UC-Irvine, Culham Science Centre, Massachusetts Institute of Technology, Fusion Research Center, Univ. of Texas at Austin, Institute for Fusion Studies, Univ. of Texas at Austin, Institute for Fusion Studies, Chalmers University of Technology, G\"{o}teborg, Sweden, Princeton Plasma Physics Lab, ANL, LLNL, Politecnico de Torino, Italy, UCSD, Lodestar Research Corp., Saclay, France, California Institute of Technology, NASA/GSFC, NRC, NASA/GSFC, Oslo, Mississippi State, Massachusetts-Lowell, NBI, Tennessee, Argonne National Lab, Florida State, US Naval Academy, Petersburg Nuclear Physics Institute, Dept. of Physics and Astronomy, Ohio Univ., Los Alamos National Laboratory, Ohio State University, University of Glasgow, Jet Propulsion Lab, Pasadena CA, U. of Minnesota, Minneapolis MN, Caltech, Pasadena CA, Washington U., St. Louis MO, NASA/GSFC, Greenbelt MD 20771, University of Michigan, Indiana University, Pennsylvania State University, Purdue University, CalTech, University of California, Berkeley and Lawrence Berkeley National Laboratory, University of Rochester, Washington University, St. Louis, University of Iowa, University of Kansas, University of Athens, Greece, Kent State University, Tenn Tech U., Oak Ridge Assoc. U., Colorado School of Mines, Rutgers, UNC - Chapel Hill, U. of Tenn, Oak Ridge National Laboratory, Ohio University, Cyclotron Institute, Texas A\&M University, Colorado College, Japanese Atomic Energy Agency, ORNL Physics Division, Universita' di Milano, Bordeaux Obs, UMRAO, WUSTL, Leeds, Laboratory for Elementary-Particle Physics, Cornell University, Senate Energy and Natural Resources Committee, CEA-Cadarache, France, SAIC-San Diego, University of Colorado at Boulder, University of Wisconsin-Madison, Princeton Plasma Physics Laboratory, Institute for Fusion Studies, University of Texas at Austin, M.I.T., National Institute for Fusion Science, Toki, Japan, U. Maryland, RRC Kurchatov Institute, Association EURATOM-CEA Cadarache, UKAEA Fusion Association, University of Colorado, Boulder, General Atomic, Columbia Univ., Caltech, UC Irvine, Univ. Colorado, CNR-IFP, Italy, Associazione Euratom-ENEA sulla Fusione, Italy, Office of Fusion Energy Sciences, US DoE, Fusion Research Center, Georgia Institute of Technology, Lawrence Livermore National Lab, Universidad Nacional de Cordoba, C.W. Post -- Long Island University, Brigham Young University, Louisiana State University, NSCL, Washington University in St. Louis, Cyclotron Institute Texas A\&M University, Cyclotron Institute, Texas A$\&$M University, College Station, TX 77843, Middle East Technical University/FNAL, INRNE-BAS/FNAL, Texas Tech University, FNAL, Cavendish Laboratory, University of Cambridge, UK, CIEMAT, Madrid, Spain, Center for Relativity, Department of Physics, University of Texas at Austin, Cyclotron Institute, Texas A\&M University, College Station, TX 77843, U. Sussex, Tulane U., NIST, U. Michigan, University of Winnipeg, Tohoku University, Dept. of Chemistry, Indiana Univ./IUCF, Washington University, Universidade Federal do Rio de Janeiro, Michigan State University, Boston University, Queen's University, National Institute for Standards and Technology, Yale University, Princeton University, University of California, Riverside, University of Surrey, LLNL and UC Berkeley, LBNL and UC Berkeley, LBNL, LBL, Dept. of Chemistry, Indiana University/IUCF, A. Soltan Institute for Nuclear Studies, Warsaw, Poland, CEA-Saclay, DSM/DAPNIA/SPhn, France, Florida State University, Department of Physics, University of California, Davis, Univ. of Arizona, INFN Pisa and University of Pisa, University of North Carolina at Wilmington, University of North Carolina at Chapel Hill and Triangle Universities Nuclear Laboratory, Rockefeller University, Northern Kentucky University, UNESCO Senior Program Specialist, CASS and Physics Dept., UCSD, Institute for Research in Electronics and Applied Physics,Univ. of Maryland,College Park,MD 20742, MPI for Plasma Physics, Greifswald, Germany, Emory University, University of Wisconsin-Madison and the Center for Magnetic Self-Organization in Laboratory and Astrophysical Plasmas, University of Wisconsin, Madison, Berkeley, E.N.S., Paris, Polymath Research Inc, Pleasanton CA, LPMIA, INRS Energie et Materiaux Quebec, LPMIA UMR 7040 UHP Nancy France, Pacific Northwest National Laboratory, Helmholtz Inst., Universitaet Bonn, D-53115 Bonn, Forschungszentrum Juelich, IKP, D-52425 Juelich, University of Michigan, Ann Arbor, MI 48109-1120, Helmholtz Inst., Univ. Bonn, D-53115 Bonn, IIT, Chicago, IL 60616, Univ. of Michigan, Ann Arbor, MI 48109-1120, Duke University, SDSU, Racah Institute of Physics, Univ. of Trento, Gesellschaft f\"ur Schwerionenforschung, Bowling Green State Univ., Dept. of Chemistry, Indiana University, SUNY, Stony Brook

  • Barbara Jacak

    Texas A\&M University, University of Minnesota, Radiation Monitoring Devices, Inc., Livermore National Laboratory, MIT, Association EUTRATOM-CEA, CEA/DSM/DRFC, CEA Cadarache, 13108 St Paul Lez Durance France, University of Munich, Germany, LNS Catania, Italy, NASA Langley Research Center, Fermilab, University of Florida, Princeton Plasma Physics Laboratory, Princeton, NJ, U.S.A., Courant Institute, New York University, New York, U.S.A., Department of Physics, Harvard University, Department of Physics, McGill University, University of Illinois at Chicago, for the LIGO Scientific Collaboration, Stanford University, DESY, LPSC, Grenoble, France, University of Arizona, Cornell University, University of Wisconsin -- Milwaukee, Case Western Reserve University, Space Science Center and Department of Physics, University of New Hampshire, University of Chicago, Fermi National Accelerator Laboratory, University of Wisconsin, Lawrence Livermore National Laboratory, Princeton Plasma Physics Lab., ORNL, Politecnico diTorino, Max-Planck Institute for Plasma Physics, MIT-PSFC, UCLA Physics Department, Abastumani Astrophysical Observatory, A. Kazbegi 2a, Tbilisi 0160, Georgia, NYU, PPPL, Columbia University, UC-Davis, UCLA, UC-Irvine, Culham Science Centre, Massachusetts Institute of Technology, Fusion Research Center, Univ. of Texas at Austin, Institute for Fusion Studies, Univ. of Texas at Austin, Institute for Fusion Studies, Chalmers University of Technology, G\"{o}teborg, Sweden, Princeton Plasma Physics Lab, ANL, LLNL, Politecnico de Torino, Italy, UCSD, Lodestar Research Corp., Saclay, France, California Institute of Technology, NASA/GSFC, NRC, NASA/GSFC, Oslo, Mississippi State, Massachusetts-Lowell, NBI, Tennessee, Argonne National Lab, Florida State, US Naval Academy, Petersburg Nuclear Physics Institute, Dept. of Physics and Astronomy, Ohio Univ., Los Alamos National Laboratory, Ohio State University, University of Glasgow, Jet Propulsion Lab, Pasadena CA, U. of Minnesota, Minneapolis MN, Caltech, Pasadena CA, Washington U., St. Louis MO, NASA/GSFC, Greenbelt MD 20771, University of Michigan, Indiana University, Pennsylvania State University, Purdue University, CalTech, University of California, Berkeley and Lawrence Berkeley National Laboratory, University of Rochester, Washington University, St. Louis, University of Iowa, University of Kansas, University of Athens, Greece, Kent State University, Tenn Tech U., Oak Ridge Assoc. U., Colorado School of Mines, Rutgers, UNC - Chapel Hill, U. of Tenn, Oak Ridge National Laboratory, Ohio University, Cyclotron Institute, Texas A\&M University, Colorado College, Japanese Atomic Energy Agency, ORNL Physics Division, Universita' di Milano, Bordeaux Obs, UMRAO, WUSTL, Leeds, Laboratory for Elementary-Particle Physics, Cornell University, Senate Energy and Natural Resources Committee, CEA-Cadarache, France, SAIC-San Diego, University of Colorado at Boulder, University of Wisconsin-Madison, Princeton Plasma Physics Laboratory, Institute for Fusion Studies, University of Texas at Austin, M.I.T., National Institute for Fusion Science, Toki, Japan, U. Maryland, RRC Kurchatov Institute, Association EURATOM-CEA Cadarache, UKAEA Fusion Association, University of Colorado, Boulder, General Atomic, Columbia Univ., Caltech, UC Irvine, Univ. Colorado, CNR-IFP, Italy, Associazione Euratom-ENEA sulla Fusione, Italy, Office of Fusion Energy Sciences, US DoE, Fusion Research Center, Georgia Institute of Technology, Lawrence Livermore National Lab, Universidad Nacional de Cordoba, C.W. Post -- Long Island University, Brigham Young University, Louisiana State University, NSCL, Washington University in St. Louis, Cyclotron Institute Texas A\&M University, Cyclotron Institute, Texas A$\&$M University, College Station, TX 77843, Middle East Technical University/FNAL, INRNE-BAS/FNAL, Texas Tech University, FNAL, Cavendish Laboratory, University of Cambridge, UK, CIEMAT, Madrid, Spain, Center for Relativity, Department of Physics, University of Texas at Austin, Cyclotron Institute, Texas A\&M University, College Station, TX 77843, U. Sussex, Tulane U., NIST, U. Michigan, University of Winnipeg, Tohoku University, Dept. of Chemistry, Indiana Univ./IUCF, Washington University, Universidade Federal do Rio de Janeiro, Michigan State University, Boston University, Queen's University, National Institute for Standards and Technology, Yale University, Princeton University, University of California, Riverside, University of Surrey, LLNL and UC Berkeley, LBNL and UC Berkeley, LBNL, LBL, Dept. of Chemistry, Indiana University/IUCF, A. Soltan Institute for Nuclear Studies, Warsaw, Poland, CEA-Saclay, DSM/DAPNIA/SPhn, France, Florida State University, Department of Physics, University of California, Davis, Univ. of Arizona, INFN Pisa and University of Pisa, University of North Carolina at Wilmington, University of North Carolina at Chapel Hill and Triangle Universities Nuclear Laboratory, Rockefeller University, Northern Kentucky University, UNESCO Senior Program Specialist, CASS and Physics Dept., UCSD, Institute for Research in Electronics and Applied Physics,Univ. of Maryland,College Park,MD 20742, MPI for Plasma Physics, Greifswald, Germany, Emory University, University of Wisconsin-Madison and the Center for Magnetic Self-Organization in Laboratory and Astrophysical Plasmas, University of Wisconsin, Madison, Berkeley, E.N.S., Paris, Polymath Research Inc, Pleasanton CA, LPMIA, INRS Energie et Materiaux Quebec, LPMIA UMR 7040 UHP Nancy France, Pacific Northwest National Laboratory, Helmholtz Inst., Universitaet Bonn, D-53115 Bonn, Forschungszentrum Juelich, IKP, D-52425 Juelich, University of Michigan, Ann Arbor, MI 48109-1120, Helmholtz Inst., Univ. Bonn, D-53115 Bonn, IIT, Chicago, IL 60616, Univ. of Michigan, Ann Arbor, MI 48109-1120, Duke University, SDSU, Racah Institute of Physics, Univ. of Trento, Gesellschaft f\"ur Schwerionenforschung, Bowling Green State Univ., Dept. of Chemistry, Indiana University, SUNY, Stony Brook

  • Wendell Horton

    Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712, USA, University of Texas at Austin, IFS