Dispersion of waves in relativistic plasmas with isotropic particle distributions

Shcherbakov, Roman V.
March 2009
Physics of Plasmas;Mar2009, Vol. 16 Issue 3, p032104
Academic Journal
The dispersion laws of Langmuir and transverse waves are calculated in the relativistic nonmagnetized formalism for several isotropic particle distributions: thermal, power law, relativistic Lorentzian κ, and hybrid β. For Langmuir waves the parameters of superluminal undamped, subluminal damped principal, and higher modes are determined for a range of distribution parameters. The undamped and principal damped modes are found to match smoothly. Principal damped and second damped modes are found not to match smoothly. The presence of maximum wavenumber is discovered above that no longitudinal modes formally exist. The higher damped modes are discovered to be qualitatively different for thermal and certain nonthermal distributions. Consistently with the known results, the Landau damping is calculated to be stronger for nonthermal power-law-like distributions. The dispersion law is obtained for the single undamped transverse mode. The analytic results for the simplest distributions are provided.


Related Articles

  • Not completely flattened radial profile of the electron temperature in the vicinity of magnetic islands in Tokamak Chauffage Alfvén Brésilien. Fonseca, A. M. M.; Tsypin, V. S.; Galvão, R. M. O.; Kuznetsov, Y. K.; Nascimento, I. C.; da Silva, R. P.; Saettone, E. A.; Vannucci, A. // Physics of Plasmas;May2005, Vol. 12 Issue 5, p052501 

    Recent results obtained in TCABR (Tokamak Chauffage Alfvén Brésilien) [J. H. F. Severo, I. C. Nascimento, V. S. Tsypin, and R. M. O. Galvão, Nucl. Fusion 43, 1047 (2003)] show a nonmonotonic variation of the poloidal rotation velocity at the position of major magnetic islands. In this...

  • Ion acoustic waves in pair-ion plasma: Linear and nonlinear analyses. Saeed, R.; Mushtaq, A. // Physics of Plasmas;Mar2009, Vol. 16 Issue 3, p032307 

    Linear and nonlinear properties of low frequency ion acoustic wave (IAW) in pair-ion plasma in the presence of electrons are investigated. The dispersion relation and Kadomtsev–Petviashvili equation for linear/nonlinear IAW are derived from sets of hydrodynamic equations where the ion...

  • Search and retrieval of plasma wave forms: Structural pattern recognition approach. Dormido-Canto, S.; Farias, G.; Vega, J.; Dormido, R.; Sánchez, J.; Duro, N.; Santos, M.; Martin, J. A.; Pajares, G. // Review of Scientific Instruments;Oct2006, Vol. 77 Issue 10, p10F514 

    Databases for fusion experiments are designed to store several million wave forms. Temporal evolution signals show the same patterns under the same plasma conditions and, therefore, pattern recognition techniques can allow identification of similar plasma behaviors. Further developments in this...

  • The Generation and Application of Intense Pulsed Ion Beams. Golden, Jeffry; Kapetanakos, Christos A.; Pasour, John A.; Mahaffey, Redge A. // American Scientist;Mar/Apr81, Vol. 69 Issue 2, p173 

    Focuses on the generation and application of intense pulsed ion beams. Fusion schemes that are based on the availability of ultrahigh-power ion beams; Efficiency of iron sources; Electron reflexing devices.

  • Linearized gyrofluid model of the alpha-destabilized toroidal Alfvén eigenmode with continuum damping effects. Spong, D. A.; Carreras, B. A.; Hedrick, C. L. // Physics of Fluids B: Plasma Physics;Oct92, Vol. 4 Issue 10, p3316 

    The toroidicity-induced shear Alfvén eigenmode (TAE) can be destabilized by energetic particle populations through inverse Landau damping. It may also be significantly damped by coupling with adjacent shear Alfvén continua. A gyrofluid model with Landau closure that includes both of these...

  • Self-consistent study of the alpha-particle-driven toroidicity-induced Alfven eigenmode. Wu, Yanlin; White, Roscoe B. // Physics of Plasmas;Aug94, Vol. 1 Issue 8, p2733 

    Investigates the interaction of high energy particles with an Alfven eigenmode using a kinetic dispersion relation. Inclusion of all important poloidal mode numbers and their radial mode profiles; Simulation of the alpha particle motion; Processes included in the numerical simulations;...

  • Connecting the X(5)− β 2, X(5)− β 4, and X(3) models to the shape/phase transition region of the interacting boson model. McCutchan, E.A.; Bonatsos, D.; Zamfir, N.V. // Physics of Atomic Nuclei;Aug2007, Vol. 70 Issue 8, p1462 

    The parameter-independent (up to overall scale factors) predictions of the X(5)− β 2, X(5)− β 4, and X(3) models, which are variants of the X(5) critical point symmetry developed within the framework of the geometric collective model, are compared to two-parameter calculations...

  • Proton Ordering in Ice at an Ice–Metal Interface. Ryzhkin, I. A.; Petrenko, V. F. // Journal of Experimental & Theoretical Physics;Aug2005, Vol. 101 Issue 2, p317 

    The structure of the proton sublattice of ice at an ice–metal interface is analyzed by solving the Ginzburg–Landau equation for an order parameter describing the proton ordering under an appropriate boundary condition [1, 2]. When the interaction between protons and the substrate...

  • Leading Neutrons at HERA. Dodonov, Vitaliy // AIP Conference Proceedings;3/23/2009, Vol. 1105 Issue 1, p38 

    Leading neutron production measurements from the H1 and ZEUS experiments at HERA are presented and compared to models. Standard string fragmentation models do not describe the data. Models including also baryon production via virtual meson exchange and accounting for absorption give a good...


Read the Article


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

Try another library?
Sign out of this library

Other Topics