Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Dispersion relation and instability for an anisotropic nonuniform flowing plasma

Journal Article · · Plasma Physics and Controlled Fusion
 [1];  [2];  [3]
  1. Utah State University, Logan, UT (United States); Utah State University
  2. Pohang University of Science and Technology, Gyeongbuk (Korea, Republic of)
  3. Utah State University, Logan, UT (United States)
A generalized formula for wave instability is developed for an anisotropic nonuniform plasma with finite flows and temperatures. Six-moment fluid equations are solved to give the analytic expression for wave instability in arbitrarily nonuniform plasmas. The analytic formula explicitly states the dependence of wave instability on the nonuniformities of number density, flow velocity, and anisotropic or isotropic pressure. The accuracy of the formalism is verified by a numerical calculation of implicit dispersion relations in complex Fourier space. The analysis shows that nonuniformity plays a critical role in plasma instability, while the flow velocity and anisotropic pressures determine the growth rate of the instability. Lastly, the instability diagram and associated instability criterion for anisotropy-driven instability are introduced as applications of the formalism.
Research Organization:
Utah State University, Logan, UT (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
Grant/Contract Number:
FG02-04ER54746; SC0022048
OSTI ID:
1991367
Journal Information:
Plasma Physics and Controlled Fusion, Journal Name: Plasma Physics and Controlled Fusion Journal Issue: 12 Vol. 64; ISSN 0741-3335
Publisher:
IOP ScienceCopyright Statement
Country of Publication:
United States
Language:
English

References (46)

Electromagnetic Electron Cyclotron Instability in the Solar Wind: QUASI-LINEAR EMEC INSTABILITY journal January 2018
Ion Kinetics in the Solar Wind: Coupling Global Expansion to Local Microphysics journal April 2011
The multi-scale nature of the solar wind journal December 2019
Diagnostics for plasma control – From ITER to DEMO journal September 2019
An introductory guide to fluid models with anisotropic temperatures. Part 1. CGL description and collisionless fluid hierarchy journal December 2019
Proton Temperature Anisotropies in the Plasma Environment of Venus journal May 2019
Computational challenges in magnetic-confinement fusion physics journal May 2016
Persistent plasma waves in interstellar space detected by Voyager 1 journal May 2021
The Solar Orbiter Radio and Plasma Waves (RPW) instrument journal September 2020
Whistler waves observed by Solar Orbiter/RPW between 0.5 AU and 1 AU journal December 2021
Shear-flow-driven ion cyclotron instabilities of magnetic field-aligned flow of inhomogeneous plasma journal October 2006
Astrophysical jets: Observations, numerical simulations, and laboratory experiments journal April 2009
A framework for moment equations for magnetized plasmas journal April 2014
Two decades of progress in understanding and control of laser plasma instabilities in indirect drive inertial fusion journal April 2016
Synthetic diagnostics platform for fusion plasmas (invited) journal August 2016
Magnetic field strength of toroidal plasma equilibria journal October 1991
Kinetic theory for electrostatic waves due to transverse velocity shears journal January 1988
The combined kinetic effects of the ion temperature gradient and the velocity shear of a plasma flow parallel to the magnetic field on the drift-Alfven instabilities journal November 2020
Creation of large temperature anisotropies in a laboratory plasma journal December 2020
Radiation measurement in plasma disruption by thin-foil infrared bolometer journal May 2021
Twisted‐Torus Equilibrium Structures of Magnetic Fields in Magnetized Stars journal November 2006
The Electron Temperature Gradient in the Galactic Disk journal December 2006
Electron Heating by the ion Cyclotron Instability in Collisionless Accretion Flows. i. Compression-Driven Instabilities and the Electron Heating Mechanism journal February 2015
Minority heating by ICRH: a tool for investigating burning plasma physics in FAST journal September 2009
Non-axisymmetric magnetic fields and toroidal plasma confinement journal January 2015
Interpretation of ion cyclotron emission from fusion and space plasmas journal December 1994
Equilibrium analysis of tokamak discharges with anisotropic pressure journal October 2001
Zonal flows in plasma—a review journal April 2005
Analysing the impact of anisotropy pressure on tokamak equilibria journal May 2014
Ion cyclotron emission from fusion-born ions in large tokamak plasmas: a brief review from JET and TFTR to ITER journal March 2015
Comparing theory and simulation of ion cyclotron emission from energetic ion populations with spherical shell and ring-beam distributions in velocity-space journal March 2020
Nonlinear harmonics coupled by parallel wave propagations in a time-dependent plasma flow journal March 2022
Alfvén waves in temperature anisotropic Cairns distributed plasma journal February 2020
The impact of anisotropy on ITER scenarios journal August 2020
Cold-hot coupled waves in a flowing magnetized plasma journal October 2020
Magnetic configuration scans during divertor operation of Wendelstein 7-X journal January 2022
Multi-scale analysis of global electromagnetic instabilities in ITER pre-fusion-power operation plasmas journal September 2022
The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisions
  • Chew, G. F.; Goldberger, M. L.; Low, F. E.
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 236, Issue 1204, p. 112-118 https://doi.org/10.1098/rspa.1956.0116
journal July 1956
Production and identification of the ion-temperature-gradient instability journal January 1991
Mode Selective Control of Drift Wave Turbulence journal June 2001
Drift waves and transport journal April 1999
Drift waves in the corona: heating and acceleration of ions at frequencies far below the gyrofrequency: Drift waves in the corona journal August 2010
A microscopic, mechanical derivation of the adiabatic gas relation journal May 2004
Propagating Wave Characteristics for Plasma Production in Plasma Processing Field journal July 1997
Wave Generation and Heat Flux Suppression in Astrophysical Plasma Systems journal November 2018
In Situ Measurement of Curvature of Magnetic Field in Turbulent Space Plasmas: A Statistical Study journal April 2020

Similar Records

Explicit dispersion relations for warm fluid waves in a uniform plasma (invited)
Journal Article · Sun Feb 26 19:00:00 EST 2023 · Journal of the Korean Physical Society · OSTI ID:1991363

Effect of pressure anisotropy and flow velocity on Kelvin-Helmholtz instability of anisotropic magnetized plasma using generalized polytrope laws
Journal Article · Sun Nov 14 23:00:00 EST 2010 · Physics of Plasmas · OSTI ID:21531945

Kelvin--Helmholtz instability and vortices in magnetized plasma
Journal Article · Sat Oct 31 23:00:00 EST 1987 · Phys. Fluids; (United States) · OSTI ID:6135546