Search for Zonal Flow Associated with ITG Modes in CLM

ORAL

Abstract

The basic physics transport experiments in the Columbia Linear Machine (CLM) have indicated inverse gyro-Bohm dependence of the ion thermal conductivity on the isotope mass. This paradox was explained by an unique 3-wave coupling of two ITG modes and an ion acoustic wave [1]. However, the competitive process of transport regulation via zonal flow [2] was not investigated. A series of basic experiments to detect any generation of zonal flow is now reported. Towards this end we have carefully examined the fine structure of the power spectrum and found two side bands with a shifts of about 3 kHz. An interpretation of this in terms of frequency modulation (FM) of ITG mode by a zonal flow appears plausible. Detailed cross correlation studies of two axially separated probes (one capacitive probe, the other ring probe) reveal two distinct modes (both m=0): one with $k_{//}\ne $ 0, $\omega $/2$\pi $ $\sim $ 2 to 10 kHz ion acoustic wave, and the other with $k_{//}$ = 0, $\omega $/2$\pi \quad \le $ 5 kHz, possibly a zonal flow. A theory using reductive perturbation method has been developed for self coupling of ITG mode in conjunction with the 3- wave coupling of two ITG radial harmonics and an ion acoustic mode. The results agree with the experimental values within a factor of 2. \newline [1] V. Sokolov and A. K. Sen, Phys. Rev. Lett, \textbf{92}, 165002 (2004). \newline [2] P.H.Dimond, S.Champeaux, M.Malkov et al., Nucl.Fusion \textbf{41}, 1067 (2001).

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Authors

  • Amiya Sen

  • 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