Mode-coupling instability of two-dimensional plasma crystals

Zhdanov, S. K.; Ivlev, A. V.; Morfill, G. E.
August 2009
Physics of Plasmas;Aug2009, Vol. 16 Issue 8, p083706
Academic Journal
The dispersion relations for three principal wave modes sustained in two-dimensional (2D) plasma crystals are derived taking into account particle-wake interactions. The rigorous analysis of the mode coupling shows that if the normalized frequency of the vertical confinement is below a certain critical value, then resonance coupling between the longitudinal in-plane mode and out-of-plane mode sets in. This results in the emergence of a hybrid mode and drives the mode-coupling instability. The universal dependence of the critical confinement frequency on plasma parameters is calculated, which allows us to specify the conditions when stable 2D plasma crystals can be formed in experiments.


Related Articles

  • Linear Analysis of the m=0 Instability for a Visco-resistive Hall MHD Plasma. Oliver, B. V.; Genoni, T. C.; Mehlhorn, T. A. // AIP Conference Proceedings;2006, Vol. 808 Issue 1, p350 

    We present a comprehensive analysis of the linear dispersion relation for the axisymmetric (m=0) compressible interchange instability of Bennett equilibria in a visco-resistive, Hall MHD plasma. The full anisotropic stress tensor with Braginskii viscous coefficients is considered. The...

  • Electrostatic drift-wave instability in a nonuniform quantum magnetoplasma with parallel velocity shear flows. Tariq, Sabeen; Mirza, Arshad. M.; Masood, W. // Physics of Plasmas;Oct2010, Vol. 17 Issue 10, p102705 

    The propagation of high and low frequency (in comparison with the cyclotron frequency) electrostatic drift-waves is investigated in a nonuniform, dense magnetoplasma (composed of electrons and ions), in the presence of parallel shear flow, by employing the quantum magnetohydrodynamic (QMHD)...

  • Effect of plasma shaping on performance in the National Spherical Torus Experiment. Gates, D. A.; Maingi, R.; Menard, J.; Kaye, S.; Sabbagh, S. A.; Taylor, G.; Wilson, J. R.; Bell, M. G.; Bell, R. E.; Bernabei, S.; Bialek, J.; Biewer, T.; Blanchard, W.; Boedo, J.; Bush, C.; Carter, M. D.; Choe, W.; Crocker, N.; Darrow, D. S.; Davis, W. // Physics of Plasmas;May2006, Vol. 13 Issue 5, p056122 

    The National Spherical Torus Experiment (NSTX) has explored the effects of shaping on plasma performance as determined by many diverse topics including the stability of global magnetohydrodynamic (MHD) modes (e.g., ideal external kinks and resistive wall modes), edge localized modes (ELMs),...

  • Toroidal coupling of ideal magnetohydrodynamic instabilities in tokamak plasmas. Hegna, C.C.; Connor, J.W.; Hastie, R.J.; Wilson, H.R. // Physics of Plasmas;Feb96, Vol. 3 Issue 2, p584 

    Describes the ideal magnetohydrodynamic stability properties of axisymmetric toroidal plasmas. Description of the mode structure by a set of poloidal harmonics in configuration space; Determination of the energy functional by a set of matrix elements that are computed from the interaction...

  • Stability of Alfvén ion-cyclotron modes with finite perpendicular wavenumber. Tsang, K. T.; Smith, Gary R. // Physics of Fluids (00319171);May87, Vol. 30 Issue 5, p1362 

    The general dispersion relation for the Alfvén ion-cyclotron (AIC) modes with finite perpendicular wavelength k[sub ⊥] and a two-temperature Dory-Guest-Harris (DGH) [Phys. Rev. Lett. 14, 131 (1965) ] ion distribution function is solved numerically. Conventional AIC instability is...

  • Waves and instabilities in weak inhomogeneous ideal Hall-magnetohydrodynamic plasmas. Kolberg, Zohar; Liverts, Edward; Mond, Michael // Physics of Plasmas;Jun2005, Vol. 12 Issue 6, p062113 

    The two-fluid magnetohydrodynamic equations in which the Hall term is taken into account in Faraday’s law (Hall magnetohydrodynamic) for low-density magnetized inhomogeneous plasmas with finite pressure, and accounting for the inertial electron and ion dynamics responses are considered...

  • Thermal motion effect on the filamentation of a strongly collisional current-driven plasma. Shokri, B.; Vazifehshenas, T. // Physics of Plasmas;Mar2001, Vol. 8 Issue 3, p788 

    The effect of thermal motion of charged particles in the filamentation of a nonrelativistic current-driven plasma in the diffusion frequency region is investigated. The period and the establishment time of the filamentation structure and the threshold for instability development are obtained....

  • Clustering of passive impurities in magnetohydrodynamic turbulence. Homann, H.; Bec, J.; Fichtner, H.; Grauer, R. // Physics of Plasmas;Aug2009, Vol. 16 Issue 8, p082308 

    The transport of heavy, neutral, or charged pointlike particles by three-dimensional incompressible, resistive magnetohydrodynamic turbulence is investigated by means of high-resolution numerical simulations. The spatial distribution of such impurities is observed to display strong deviations...

  • Shear Flow Instabilities in Low-Beta Space Plasmas. Siversky, Taras; Voitenko, Yuriy; Goossens, Marcel // Space Science Reviews;Nov2005, Vol. 121 Issue 1-4, p343 

    We study instabilities driven by a sheared plasma flow in the low-frequency domain. Two unstable branches are found: the ion-sound mode and the kinetic Alfvén mode. Both instabilities are aperiodic. The ion-sound instability does not depend on the plasma β (gas/magnetic pressure ratio) and...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics