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Jorge R, Ricci P, Loureiro NF. Theory of the Drift-Wave Instability at Arbitrary Collisionality. PHYSICAL REVIEW LETTERS 2018; 121:165001. [PMID: 30387626 DOI: 10.1103/physrevlett.121.165001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/15/2018] [Revised: 09/07/2018] [Indexed: 06/08/2023]
Abstract
A numerically efficient framework that takes into account the effect of the Coulomb collision operator at arbitrary collisionalities is introduced. Such a model is based on the expansion of the distribution function on a Hermite-Laguerre polynomial basis to study the effects of collisions on magnetized plasma instabilities at arbitrary mean-free path. Focusing on the drift-wave instability, we show that our framework allows retrieving established collisional and collisionless limits. At the intermediate collisionalities relevant for present and future magnetic nuclear fusion devices, deviations with respect to collision operators used in state-of-the-art turbulence simulation codes show the need for retaining the full Coulomb operator in order to obtain both the correct instability growth rate and eigenmode spectrum, which, for example, may significantly impact quantitative predictions of transport. The exponential convergence of the spectral representation that we propose makes the representation of the velocity space dependence, including the full collision operator, more efficient than standard finite difference methods.
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Affiliation(s)
- R Jorge
- École Polytechnique Fédérale de Lausanne (EPFL), Swiss Plasma Center (SPC), CH-1015 Lausanne, Switzerland
- Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal
| | - P Ricci
- École Polytechnique Fédérale de Lausanne (EPFL), Swiss Plasma Center (SPC), CH-1015 Lausanne, Switzerland
| | - N F Loureiro
- Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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Kim CB, An CY, Min B. Intermittent strong transport of the quasi-adiabatic plasma state. Sci Rep 2018; 8:8622. [PMID: 29872085 PMCID: PMC5988669 DOI: 10.1038/s41598-018-26793-8] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/09/2017] [Accepted: 05/17/2018] [Indexed: 11/09/2022] Open
Abstract
The dynamics of the fluctuating electrostatic potential and the plasma density couched in the resistive-drift model at nearly adiabatic state are simulated. The linear modes are unstable if the phase difference between the potential and the density are positive. Exponential growth of the random small perturbations slows down due to the nonlinear E × B flows that work in two ways. They regulate the strength of the fluctuations by transferring the energy from the energy-producing scale to neighboring scales and reduce the cross phase at the same time. During quasi-steady relaxation sporadic appearance of very strong turbulent particle flux is observed that is characterized by the flat energy spectrum and the broad secondary peak in the mesoscale of the order of the gyro-radius. Such boost of the transport is found to be caused by presence of relatively large cross phase as the E × B flows are not effective in cancelling out the cross phase.
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Affiliation(s)
- Chang-Bae Kim
- Physics Department and Research Institute for Origin of Matter and Evolution of Galaxies, Soongsil University, Seoul, 156-743, Korea.
| | - Chan-Yong An
- Physics Department and Research Institute for Origin of Matter and Evolution of Galaxies, Soongsil University, Seoul, 156-743, Korea
| | - Byunghoon Min
- Physics Department and Research Institute for Origin of Matter and Evolution of Galaxies, Soongsil University, Seoul, 156-743, Korea
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Gekelman W, Pribyl P, Lucky Z, Drandell M, Leneman D, Maggs J, Vincena S, Van Compernolle B, Tripathi SKP, Morales G, Carter TA, Wang Y, DeHaas T. The upgraded Large Plasma Device, a machine for studying frontier basic plasma physics. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2016; 87:025105. [PMID: 26931889 DOI: 10.1063/1.4941079] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/16/2015] [Accepted: 01/10/2016] [Indexed: 06/05/2023]
Abstract
In 1991 a manuscript describing an instrument for studying magnetized plasmas was published in this journal. The Large Plasma Device (LAPD) was upgraded in 2001 and has become a national user facility for the study of basic plasma physics. The upgrade as well as diagnostics introduced since then has significantly changed the capabilities of the device. All references to the machine still quote the original RSI paper, which at this time is not appropriate. In this work, the properties of the updated LAPD are presented. The strategy of the machine construction, the available diagnostics, the parameters available for experiments, as well as illustrations of several experiments are presented here.
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Affiliation(s)
- W Gekelman
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
| | - P Pribyl
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
| | - Z Lucky
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
| | - M Drandell
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
| | - D Leneman
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
| | - J Maggs
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
| | - S Vincena
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
| | - B Van Compernolle
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
| | - S K P Tripathi
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
| | - G Morales
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
| | - T A Carter
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
| | - Y Wang
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
| | - T DeHaas
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA and Institute of Geophysics and Planetary Physics, University of California, Los Angeles, California 90095, USA
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Weck PJ, Schaffner DA, Brown MR, Wicks RT. Permutation entropy and statistical complexity analysis of turbulence in laboratory plasmas and the solar wind. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 91:023101. [PMID: 25768612 DOI: 10.1103/physreve.91.023101] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/18/2014] [Indexed: 06/04/2023]
Abstract
The Bandt-Pompe permutation entropy and the Jensen-Shannon statistical complexity are used to analyze fluctuating time series of three different turbulent plasmas: the magnetohydrodynamic (MHD) turbulence in the plasma wind tunnel of the Swarthmore Spheromak Experiment (SSX), drift-wave turbulence of ion saturation current fluctuations in the edge of the Large Plasma Device (LAPD), and fully developed turbulent magnetic fluctuations of the solar wind taken from the Wind spacecraft. The entropy and complexity values are presented as coordinates on the CH plane for comparison among the different plasma environments and other fluctuation models. The solar wind is found to have the highest permutation entropy and lowest statistical complexity of the three data sets analyzed. Both laboratory data sets have larger values of statistical complexity, suggesting that these systems have fewer degrees of freedom in their fluctuations, with SSX magnetic fluctuations having slightly less complexity than the LAPD edge I(sat). The CH plane coordinates are compared to the shape and distribution of a spectral decomposition of the wave forms. These results suggest that fully developed turbulence (solar wind) occupies the lower-right region of the CH plane, and that other plasma systems considered to be turbulent have less permutation entropy and more statistical complexity. This paper presents use of this statistical analysis tool on solar wind plasma, as well as on an MHD turbulent experimental plasma.
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Affiliation(s)
- P J Weck
- Swarthmore College, Swarthmore, Pennsylvania 19081, USA
| | - D A Schaffner
- Swarthmore College, Swarthmore, Pennsylvania 19081, USA
| | - M R Brown
- Swarthmore College, Swarthmore, Pennsylvania 19081, USA
| | - R T Wicks
- NASA Goddard Space Flight Center, Greenbelt, Maryland 20771, USA
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Friedman B, Carter TA. Linear technique to understand non-normal turbulence applied to a magnetized plasma. PHYSICAL REVIEW LETTERS 2014; 113:025003. [PMID: 25062197 DOI: 10.1103/physrevlett.113.025003] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/23/2013] [Indexed: 06/03/2023]
Abstract
In nonlinear dynamical systems with highly nonorthogonal linear eigenvectors, linear nonmodal analysis is more useful than normal mode analysis in predicting turbulent properties. However, the nontrivial time evolution of nonmodal structures makes quantitative understanding and prediction difficult. We present a technique to overcome this difficulty by modeling the effect that the advective nonlinearities have on spatial turbulent structures. The nonlinearities are taken as a periodic randomizing force with time scale consistent with critical balance arguments. We apply this technique to a model of drift wave turbulence in the Large Plasma Device [W. Gekelman et al., Rev. Sci. Instrum. 62, 2875 (1991)], where nonmodal effects dominate the turbulence. We compare the resulting growth rate spectra to the spectra obtained from a nonlinear simulation, showing good qualitative agreement, especially in comparison to the eigenmode growth rate spectra.
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Affiliation(s)
- B Friedman
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095-1547, USA
| | - T A Carter
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095-1547, USA
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