Nonlinear evolution of two fast-particle-driven modes near the linear stability threshold

Zalesny, Jarosław; Galant, Grzegorz; Lisak, Mietek; Marczynski, Sławomir; Berczynski, Paweł; Gałkowski, Andrzej; Berczynski, Stefan
June 2011
Physics of Plasmas;Jun2011, Vol. 18 Issue 6, p062109
Academic Journal
A system of two coupled integro-differential equations is derived and solved for the non-linear evolution of two waves excited by the resonant interaction with fast ions just above the linear instability threshold. The effects of a resonant particle source and classical relaxation processes represented by the Krook, diffusion, and dynamical friction collision operators are included in the model, which exhibits different nonlinear evolution regimes, mainly depending on the type of relaxation process that restores the unstable distribution function of fast ions. When the Krook collisions or diffusion dominate, the wave amplitude evolution is characterized by modulation and saturation. However, when the dynamical friction dominates, the wave amplitude is in the explosive regime. In addition, it is found that the finite separation in the phase velocities of the two modes weakens the interaction strength between the modes.


Related Articles

  • Scale-Induced Closure for Approximations of Kinetic Equations. Kauf, Peter; Torrilhon, Manuel; Junk, Michael // Journal of Statistical Physics;Dec2010, Vol. 141 Issue 5, p848 

    The order-of-magnitude method proposed by Struchtrup (Phys. Fluids 16(11):3921-3934, ) is a new closure procedure for the infinite moment hierarchy in kinetic theory of gases, taking into account the scaling of the moments. The scaling parameter is the Knudsen number Kn, which is the mean free...

  • Spectral line shape in collision-induced absorption: An improved constant acceleration approximation. Borysow, Jacek; Moraldi, Massimo; Frommhold, Lothar; Poll, J. D. // Journal of Chemical Physics;4/15/1986, Vol. 84 Issue 8, p4277 

    A simple formalism based on path integrals is applied for calculating two-particle intracollisional correlation functions in the semiclassical limit. The parameter-free spectral line model obtained in this way is compared with an exact quantum line shape calculation for collision-induced...

  • Losses and nonlinear steady-state particle distribution functions for fully ionized tokamak-plasmas in the collisional transport regimes. Sonnino, G. // European Physical Journal D -- Atoms, Molecules, Clusters & Opti;Mar2011, Vol. 62 Issue 1, p81 

    Fully ionized L-mode tokamak plasmas in the fully collisional (Pfirsch-Schlüter) and in the low-collisional (banana) nonlinear transport regimes are analyzed. We derive the expressions for particles and heat losses together with the steady-state particle distribution functions in the several...

  • Electron kinetics in a cooling plasma. Helander, P.; Smith, H.; Fülöp, T.; Eriksson, L.-G. // Physics of Plasmas;Dec2004, Vol. 11 Issue 12, p5704 

    The distribution function of suprathermal electrons in a slowly cooling plasma is calculated by an asymptotic expansion in the cooling rate divided by the collision frequency. Since the collision frequency decreases with increasing velocity, a high-energy tail forms in the electron distribution...

  • MRST Parton Distributions. Stirling, W. J.; Martin, A. D.; Roberts, R. G.; Thorne, R. S. // AIP Conference Proceedings;2005, Vol. 747 Issue 1, p16 

    A brief summary of some of the recent developments in the MRST determinations of NLO and NNLO parton distribution functions is presented. © 2005 American Institute of Physics

  • Deeply virtual vector meson electroproduction at small Bjorken-x. Kroll, P.; Smith, W. H.; Dasu, S. R. // AIP Conference Proceedings;2005, Vol. 792 Issue 1, p440 

    It is reported on an analysis of vector meson electroproduction at small Bjorken-x (xBj) within the handbag approach. Using a model for the generalized parton distributions (GPDs) and calculating the partonic subprocess, electroproduction off gluons, within the modified perturbative approach,...

  • Parton Uncertainties and the Stability of NLO Global Analysis. Stump, Daniel R.; Smith, W. H.; Dasu, S. R. // AIP Conference Proceedings;2005, Vol. 792 Issue 1, p361 

    In global analysis of QCD, both experimental and theoretical errors contribute to the uncertainty of the results. A recent study of the stability of NLO global analysis is described. © 2005 American Institute of Physics

  • Parity Violation in Møller Scattering. Kumar, Krishna S.; Smith, W. H.; Dasu, S. R. // AIP Conference Proceedings;2005, Vol. 792 Issue 1, p353 

    We have carried out a precision of the parity-violating asymmetry APV in the scattering of longitudinally polarized electrons off electrons in a liquid hydrogen target. The measurement was performed with the 50 GeV beam line at SLAC. The final result with the full data set collected in three...

  • Neutral current cross sections at high x. Ning, Y.; Smith, W. H.; Dasu, S. R. // AIP Conference Proceedings;2005, Vol. 792 Issue 1, p348 

    A new method is employed to measure the neutral current cross section up to Bjorken-x values equal to one with the ZEUS detector at HERA using an integrated luminosity of 65 pb-1. Cross sections have been extracted for Q2 > 576 GeV2 and are compared to predictions using different parton density...


Read the Article


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

Try another library?
Sign out of this library

Other Topics