Generation of Large-Scale Zonal Structures by Drift Flute Waves in High-Beta HED Plasmas

POSTER

Abstract

Our aim is to develop a more general analysis of nonlinear dynamics of drift-flute waves, applicable to arbitrary plasma beta and arbitrary spatial scales in comparison with the ion Larmor radius. This study is of interest for fundamental plasma theory as well as for the interpretation of Z-pinch and laboratory astrophysics experiments. Description of low-frequency waves and in particular drift flute waves in a high beta plasma, generally speaking, requires a kinetic approach, based on the Vlasov-Maxwell set of equations. In the present work we show that the alternative two-fluid description can adequately describe the ion perturbations with arbitrary ratio of the characteristic spatial scales to the ion Larmor radius in so-called Pade approximation. For this purpose reduced two-fluid hydrodynamic equations which describe nonlinear dynamics of the flute waves with arbitrary spatial scales and arbitrary plasma beta are derived. The linear dispersion relation of the flute waves and the Rayleigh-Taylor instability are analyzed. A general nonlinear dispersion relation which describes generation of large-scale zonal structures by the flute waves is presented and analyzed.

Authors

  • Essam Yasin

    University of Nevada, Reno, NV 89557

  • Vladmir Sotnikov

    University of Nevada, Reno, NV 89557

  • Joseph Kindel

    University of Nevada, Reno, NV 89557

  • Steve McMahon

    Fermilab, Department of Physics and Astronomy, Brigham Young University, Provo, UT 84602, Department of Physics, Long Island University--C.W. Post Campus, Brookville, NY 11548, Department of Mathematics, Brigham Young University, Provo, UT 84602, Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, Prague, North Carolina State University, Lawrence Livermore National Laboratory, Los Alamos National Laboratory, Univ. of Tennessee, SUNY at Oswego, Argonne Nat. Lab., Oak Ridge Nat. Lab., NNSA/Department of Energy, Department of War Studies, King's College London, Strand Campus, London UK WC2R 2LS, Perimeter Institute for Theoretical Physics, University of Wisconsin-Madison, University of Texas, TTU, UCSD, U. of Wisconsin, U. of Iowa, Brown University, Regis University, University of South Dakota, MIT, FAMU, Harvard, UMass Amherst, Caltech, ORNL, LPC Caen, GSI, Universite Laval, Western Michigan University, GANIL, Dept of Chemistry and IUCF, Indiana University, Departments of Chemistry and Physics, University of Rochester, Rochester NY, Department of Chemistry, University of Rochester, Rochester NY, Indiana University, University of Rochester, LANL, INFN, Pisa, University of Wisconsin- Madison, CERN and University of Athens, Greece, SLAC/Stanford University, Institute of Theoretical and Experimental Physics, Russia, Physics Department, New York City College of Technology, CUNY, USA and Institute of Theoretical and Experimental Physics, Russia, Physics Department, New York City College of Technology, CUNY, USA, Dept. of Physics and Astronomy, University of Tennessee, Knoxville, The University of South Dakota, Univ. of Florida, Univ. of Washington, Natl. Radio Astronomical Observatory, Washington University in St Louis, Louisiana State University-Baton Rouge, Louisiana State University, Cornell University, California Institute of Technology, Imperial College London, Columbia University, Culham, General Atomics, Princeton Plasma Physics Laboratory, PPPL, CEA, U.C.S.D., Princeton University Plasma Physics Laboratory, U. Wisconsin-Madison, EURATOM/CEA, Utah State University, IREAP, University of Maryland, College Park, MD, USA, UCLA, LLNL, Tech-X Corp., Lehigh U., Paratools Inc., Univ. of Wisconsin, Madison, WI 53706-1609, LBNL, PPPL, Princeton University, John Hopkins University, Chemistry department and Emerson Center for Scientific Computation, Emory University, University of York, Oak Ridge National Laboratory, Columbia Univ., Lawrence Livermore National Laboratory, Livermore, CA. USA, Tech-X Corporation, Boulder, CO. USA, General Atomic Corporation, San Deigo, CA 92186, PPPL, Princeton Univ., Institute for Fusion Studies, The University of Texas at Austin, NTUA, Athens, Greece, CompX, Utah State U., UW-Madison, Royal Observatory of Belgium, University of Tulsa, University of Manchester, IPP Garching, University of Wiscosnsin - Madison, Swarthmore College, Swarthmore, PA, Advanced Technology Division, SFA Incorporated, Crofton, MD, Plasma Science and Innovation Center, University of Washington, Seattle, WA, CGWP, Penn State, University of Wisconsin Milwaukee, University of the Ryukyus, Okinawa, Japan, University of Tokyo, Komaba, Meguro, Tokyo, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109, California Institute of Technology, Pasadena CA, 91125, NASA/Goddard Space Flight Center, Greenbelt, MD 20771, Washington University, St. Louis, MO 63130, California Institute of Technology, Pasadena, CA 91125, James Martin Center for Nonproliferation Studies, University of California Observatories, Physics Division, Los Alamos National Laboratory, Texas A\&M University, ICRANet, Keldysh Institute of Applied Mathematics, RAS, Fermi National Accelerator Laboratory, Tech-X Corporation, GOO Zaryad, Novosibirsk, RU-630058, Helmholtz Inst., Univ. Bonn, D-53115 Bonn, Forschungszentrum J\"ulich, IKP, D-52425 J\"ulich, Univ. of Michigan, Ann Arbor, MI 48109-1040, KEK, UMass, GCSU, NGCSU, Duke U/TUNL, McGill, Northwestern, Manitoba, ANL, ANL and Chicago, LSU, Rutgers U., U. of Tennessee, TRIUMF, Vancouver, BC, Canada \& Laboratory for Ion Beam Physics, Zurich, Switzerland, U of TN, Rutgers, ORAU, CO School of Mines, University of Michigan, Pennsylvania State University, University of Chicago, University of Calgary, Department of Biological Sciences, Stanford University, Physics Department, University of Illinois, Stanford University, Florida State University, Livermore National Lab, Naval Research Lab, Charles University, Prague, Department of Physics, University of Richmond, Virginia 23173, Argonne National Lab, Mississippi State Univ., Univ. of Surrey, Rutgers Univ., TN Tech., Univ. of TN, CSoM, OH Univ., Lawrence Berkeley National Laboratory, Japan Atomic Energy Research Institute, University of Surrey, University of Tokyo, NSCL, Michigan State University, National Superconducting Cyclotron Laboratory, Michigan State University, Department of Physics, Florida State University, Department of Physics and Astronomy, Ursinus College, Department of Physics and Astronomy, York University, Center for Magnetic Self-Organization, University of Wisconsin, Madison, MIT Plasma Science and Fusion Center, Budker Institute, LANL and D.E. Shaw Research, LLC, MIT PSFC, USU, TechX, Lodestar Res. Corp., Lodestar Research Corp., University of Colorado at Boulder, Oklahoma School of Science and Mathematics, IPR, Gandhinagar, India, Association EURATOM - Ris{\o} DTU, Roskilde, Denmark, Auburn University, JNL Scientific, Casa Grande, AZ 85296, University of Nevada, Reno, NV 89557, NIST, Gaithersburg, MD 20899, University of Arizona, National Center for Atmospheric Research, Center for Magnetic Self-Organization in Lab and Astrophysical Plasmas and University of Wisconsin - Madison, Katholieke Universiteit Leuven, Belgium, Wheaton College, Wheaton, IL, Swarthmore College, CERN, SLAC, UMass, Amherst and TUNL, Duke U.~and TUNL, Universit\`a di Genova, Dipartimento di Fisica and I.N.F.N. Sezione di Genova., Institute for Theoretical Physics, University of Zurich, Max-Planck-Insitut fur Plasmaphysik Greifswald, Germany, Budapest University of Technology and Economics, Hungary, Chalmers University of Technology, Sweden, NASA/GSFC, University of Kansas, University of Iowa, Bielefeld University, Concordia University, Canada, NRL, Institute for Applied Energy, Nuclear Waste Management Organization, Canada, Rice University, College of William \& Mary, U. Rochester, Ohio State University, NSCL and Department of Chemistry, Michigan State University, NSCL and Department of Physics \& Astronomy, Michigan State University, National Superconducting Cyclotron Laboratory (NSCL), Michigan State University, East Lansing, MI, USA, Space Research Institute, Russia, Perimeter Institute, Argonne National Laboratory and Northwestern University, University of California, Davis, NASA Goddard Space Flight Center, University of Mississippi, Department of Physics, Florida A\&M University, FL-32307., Department of Mechanical Engineering, Florida State University, Tallahassee, FL-32310, University of Kentucky, Indiana Unversity, Michigan State University, Concordia College, Indiana University at South Bend, Central Michigan University, Hope College, Wabash College, Marquette University, University of Louisville Department of Physics and Astronomy, Penn State University, Universidad de Valencia, Spain, University of California, Riverside, University of Illinois, Los Alamos National Lab, University of North Carolina, University of Washington, Colorado State University, University of Wisconsin, Madison, The Center for Gravitational Wave Astronomy, University of Texas at Brownsville, Washington State University, NC State University, Los Alamos National Labratory, University of Virginia, Universita di Roma ``La Sapienza", University of Colorado, Rutgers University, Purdue University, Iowa State U., U.Arizona$^{\dagger}$, Space Sciences Laboratory, University of California, Berkeley, Center for Astrophysics and Space Astronomy, University of Colorado, Boulder, Steward Observatory, University of Arizona, Cardiff University, University of Maryland, Thomas Jefferson National Accelerator Facility, Science and Technology Facilities Council, UK

  • Steve McMahon

    Fermilab, Department of Physics and Astronomy, Brigham Young University, Provo, UT 84602, Department of Physics, Long Island University--C.W. Post Campus, Brookville, NY 11548, Department of Mathematics, Brigham Young University, Provo, UT 84602, Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, Prague, North Carolina State University, Lawrence Livermore National Laboratory, Los Alamos National Laboratory, Univ. of Tennessee, SUNY at Oswego, Argonne Nat. Lab., Oak Ridge Nat. Lab., NNSA/Department of Energy, Department of War Studies, King's College London, Strand Campus, London UK WC2R 2LS, Perimeter Institute for Theoretical Physics, University of Wisconsin-Madison, University of Texas, TTU, UCSD, U. of Wisconsin, U. of Iowa, Brown University, Regis University, University of South Dakota, MIT, FAMU, Harvard, UMass Amherst, Caltech, ORNL, LPC Caen, GSI, Universite Laval, Western Michigan University, GANIL, Dept of Chemistry and IUCF, Indiana University, Departments of Chemistry and Physics, University of Rochester, Rochester NY, Department of Chemistry, University of Rochester, Rochester NY, Indiana University, University of Rochester, LANL, INFN, Pisa, University of Wisconsin- Madison, CERN and University of Athens, Greece, SLAC/Stanford University, Institute of Theoretical and Experimental Physics, Russia, Physics Department, New York City College of Technology, CUNY, USA and Institute of Theoretical and Experimental Physics, Russia, Physics Department, New York City College of Technology, CUNY, USA, Dept. of Physics and Astronomy, University of Tennessee, Knoxville, The University of South Dakota, Univ. of Florida, Univ. of Washington, Natl. Radio Astronomical Observatory, Washington University in St Louis, Louisiana State University-Baton Rouge, Louisiana State University, Cornell University, California Institute of Technology, Imperial College London, Columbia University, Culham, General Atomics, Princeton Plasma Physics Laboratory, PPPL, CEA, U.C.S.D., Princeton University Plasma Physics Laboratory, U. Wisconsin-Madison, EURATOM/CEA, Utah State University, IREAP, University of Maryland, College Park, MD, USA, UCLA, LLNL, Tech-X Corp., Lehigh U., Paratools Inc., Univ. of Wisconsin, Madison, WI 53706-1609, LBNL, PPPL, Princeton University, John Hopkins University, Chemistry department and Emerson Center for Scientific Computation, Emory University, University of York, Oak Ridge National Laboratory, Columbia Univ., Lawrence Livermore National Laboratory, Livermore, CA. USA, Tech-X Corporation, Boulder, CO. USA, General Atomic Corporation, San Deigo, CA 92186, PPPL, Princeton Univ., Institute for Fusion Studies, The University of Texas at Austin, NTUA, Athens, Greece, CompX, Utah State U., UW-Madison, Royal Observatory of Belgium, University of Tulsa, University of Manchester, IPP Garching, University of Wiscosnsin - Madison, Swarthmore College, Swarthmore, PA, Advanced Technology Division, SFA Incorporated, Crofton, MD, Plasma Science and Innovation Center, University of Washington, Seattle, WA, CGWP, Penn State, University of Wisconsin Milwaukee, University of the Ryukyus, Okinawa, Japan, University of Tokyo, Komaba, Meguro, Tokyo, Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109, California Institute of Technology, Pasadena CA, 91125, NASA/Goddard Space Flight Center, Greenbelt, MD 20771, Washington University, St. Louis, MO 63130, California Institute of Technology, Pasadena, CA 91125, James Martin Center for Nonproliferation Studies, University of California Observatories, Physics Division, Los Alamos National Laboratory, Texas A\&M University, ICRANet, Keldysh Institute of Applied Mathematics, RAS, Fermi National Accelerator Laboratory, Tech-X Corporation, GOO Zaryad, Novosibirsk, RU-630058, Helmholtz Inst., Univ. Bonn, D-53115 Bonn, Forschungszentrum J\"ulich, IKP, D-52425 J\"ulich, Univ. of Michigan, Ann Arbor, MI 48109-1040, KEK, UMass, GCSU, NGCSU, Duke U/TUNL, McGill, Northwestern, Manitoba, ANL, ANL and Chicago, LSU, Rutgers U., U. of Tennessee, TRIUMF, Vancouver, BC, Canada \& Laboratory for Ion Beam Physics, Zurich, Switzerland, U of TN, Rutgers, ORAU, CO School of Mines, University of Michigan, Pennsylvania State University, University of Chicago, University of Calgary, Department of Biological Sciences, Stanford University, Physics Department, University of Illinois, Stanford University, Florida State University, Livermore National Lab, Naval Research Lab, Charles University, Prague, Department of Physics, University of Richmond, Virginia 23173, Argonne National Lab, Mississippi State Univ., Univ. of Surrey, Rutgers Univ., TN Tech., Univ. of TN, CSoM, OH Univ., Lawrence Berkeley National Laboratory, Japan Atomic Energy Research Institute, University of Surrey, University of Tokyo, NSCL, Michigan State University, National Superconducting Cyclotron Laboratory, Michigan State University, Department of Physics, Florida State University, Department of Physics and Astronomy, Ursinus College, Department of Physics and Astronomy, York University, Center for Magnetic Self-Organization, University of Wisconsin, Madison, MIT Plasma Science and Fusion Center, Budker Institute, LANL and D.E. Shaw Research, LLC, MIT PSFC, USU, TechX, Lodestar Res. Corp., Lodestar Research Corp., University of Colorado at Boulder, Oklahoma School of Science and Mathematics, IPR, Gandhinagar, India, Association EURATOM - Ris{\o} DTU, Roskilde, Denmark, Auburn University, JNL Scientific, Casa Grande, AZ 85296, University of Nevada, Reno, NV 89557, NIST, Gaithersburg, MD 20899, University of Arizona, National Center for Atmospheric Research, Center for Magnetic Self-Organization in Lab and Astrophysical Plasmas and University of Wisconsin - Madison, Katholieke Universiteit Leuven, Belgium, Wheaton College, Wheaton, IL, Swarthmore College, CERN, SLAC, UMass, Amherst and TUNL, Duke U.~and TUNL, Universit\`a di Genova, Dipartimento di Fisica and I.N.F.N. Sezione di Genova., Institute for Theoretical Physics, University of Zurich, Max-Planck-Insitut fur Plasmaphysik Greifswald, Germany, Budapest University of Technology and Economics, Hungary, Chalmers University of Technology, Sweden, NASA/GSFC, University of Kansas, University of Iowa, Bielefeld University, Concordia University, Canada, NRL, Institute for Applied Energy, Nuclear Waste Management Organization, Canada, Rice University, College of William \& Mary, U. Rochester, Ohio State University, NSCL and Department of Chemistry, Michigan State University, NSCL and Department of Physics \& Astronomy, Michigan State University, National Superconducting Cyclotron Laboratory (NSCL), Michigan State University, East Lansing, MI, USA, Space Research Institute, Russia, Perimeter Institute, Argonne National Laboratory and Northwestern University, University of California, Davis, NASA Goddard Space Flight Center, University of Mississippi, Department of Physics, Florida A\&M University, FL-32307., Department of Mechanical Engineering, Florida State University, Tallahassee, FL-32310, University of Kentucky, Indiana Unversity, Michigan State University, Concordia College, Indiana University at South Bend, Central Michigan University, Hope College, Wabash College, Marquette University, University of Louisville Department of Physics and Astronomy, Penn State University, Universidad de Valencia, Spain, University of California, Riverside, University of Illinois, Los Alamos National Lab, University of North Carolina, University of Washington, Colorado State University, University of Wisconsin, Madison, The Center for Gravitational Wave Astronomy, University of Texas at Brownsville, Washington State University, NC State University, Los Alamos National Labratory, University of Virginia, Universita di Roma ``La Sapienza", University of Colorado, Rutgers University, Purdue University, Iowa State U., U.Arizona$^{\dagger}$, Space Sciences Laboratory, University of California, Berkeley, Center for Astrophysics and Space Astronomy, University of Colorado, Boulder, Steward Observatory, University of Arizona, Cardiff University, University of Maryland, Thomas Jefferson National Accelerator Facility, Science and Technology Facilities Council, UK