Averaged variational principle for autoresonant Bernstein-Greene-Kruskal modes

Khain, P.; Friedland, L.
October 2010
Physics of Plasmas;Oct2010, Vol. 17 Issue 10, p102308
Academic Journal
Whitham's averaged variational principle is applied in studying dynamics of formation of autoresonant (continuously phase-locked) Bernstein-Greene-Kruskal (BGK) modes in a plasma driven by a chirped frequency ponderomotive wave. A flat-top electron velocity distribution is used as a model allowing a variational formulation within the water bag theory. The corresponding Lagrangian, averaged over the fast phase variable yields evolution equations for the slow field variables, allows uniform description of all stages of excitation of driven-chirped BGK modes, and predicts modulational stability of these nonlinear phase-space structures. Numerical solutions of the system of slow variational equations are in good agreement with Vlasov-Poisson simulations.


Related Articles

  • Finite difference approach on magnetohydrodynamic flow and heat transfer in a viscous incompressible fluid between two parallel porous plates. Das, S. S.; Mohanty, M.; Padhy, R. K.; Sahu, M. // International Journal of Energy & Environment;2012, Vol. 3 Issue 5, p787 

    This paper considers the magnetohydrodynamic flow and heat transfer in a viscous incompressible fluid between two parallel porous plates experiencing a discontinuous change in wall temperature. An explicit finite difference scheme has been employed to solve the coupled non-linear equations...

  • On the modulational stability of magnetic structures in electron drift turbulence. Jucker, Martin; Pavlenko, Vladimir P. // Physics of Plasmas;Oct2007, Vol. 14 Issue 10, p102313 

    The generation of large-scale magnetic fields in magnetic electron drift mode turbulence is investigated. In particular, the mechanism of modulational instability caused by three-wave interactions is elucidated and the explicit increment is calculated. Also, a stability criterion similar to the...

  • Finite electron temperature effects on interferometric and polarimetric measurements in fusion plasmas. Mirnov, V. V.; Ding, W. X.; Brower, D. L.; Van Zeeland, M. A.; Carlstrom, T. N. // Physics of Plasmas;Oct2007, Vol. 14 Issue 10, p102105 

    Finite electron temperature effects on interferometry and polarimetry measurements for burning plasma are considered with particular focus on analytically understanding the role of weakly relativistic effects. Development of a new iterative technique, in the limit when the probing wave frequency...

  • Experimental study of impurity screening in the edge ergodic layer of the Large Helical Device using carbon emissions of CIII to CVI. Chowdhuri, Malay Bikas; Morita, Shigeru; Kobayashi, Masahiro; Goto, Motoshi; Hangyu Zhou; Masuzaki, Suguru; Morisaki, Tomohiro; Narihara, Kazumichi; Yamada, Ichihiro; Yuehe Feng // Physics of Plasmas;Jun2009, Vol. 16 Issue 6, p062502 

    Four resonance transitions of CIII (977.03 Ã…:2s21S0-2s2p 1P1), CIV (1550 Ã…:2s 2S-2p 2P), CV (40.27 Ã…:1s21S0-1s2p 1P1), and CVI (33.73 Ã…:1s 2S-2p 2P) have been observed in vacuum ultraviolet and extreme ultraviolet regions to study the edge carbon impurity transport in the Large...

  • Geometry and Elasticity of Strips and Flowers. Marder, M.; Papanicolaou, N. // Journal of Statistical Physics;Dec2006, Vol. 125 Issue 5/6, p1065 

    We solve several problems that involve imposing metrics on surfaces. The problem of a strip with a linear metric gradient is formulated in terms of a Lagrangian similar to those used for spin systems. We are able to show that the low energy state of long strips is a twisted helical state like a...

  • The plasma wave echo revisited. Hou, Y. W.; Ma, Z. W.; Yu, M. Y. // Physics of Plasmas;Jan2011, Vol. 18 Issue 1, p012108 

    Temporal plasma wave echoes are investigated by solving the Vlasov-Poisson system numerically in detail. The time of appearance and the structure of the echoes, including that of the higher harmonics and the dependence on the time between the excitations, are found to agree well with that from...

  • Nonlinear dynamics of upper-hybrid waves in dusty magnetoplasmas. Shukla, P. K.; Stenflo, L. // Physics of Plasmas;Jun2000, Vol. 7 Issue 6 

    The nonlinear propagation of upper-hybrid waves in a magnetized dusty plasma is considered. Several sets of Zakharov-like coupled equations are derived. They exhibit the nonlinear coupling between the high-frequency waves and various low-frequency electrostatic dusty plasma fluctuations. These...

  • Real-time phase-selective data acquisition system for measurement of wave phenomena in pulsed plasma discharges Sanders, S. J.; Sanders, S.J.; Stern, R. A.; Stern, R.A.; Bellan, P. M. // Review of Scientific Instruments;May98, Vol. 69 Issue 5, p2027 

    Describes a real-time phase-selective acquisition system for measurement of wave phenomena in pulsed plasma discharges. Reduction of experimental uncertainty due to shot-to-shot fluctuations in high repetition rate experiments; Classification of pulsed plasma discharges by wave amplitude and...

  • Theory of beat-resonant coupling of electrostatic modes. Crawford, John David; Johnston, Shayne; Kaufman, Allan N.; Oberman, Carl // Physics of Fluids (00319171);Oct86, Vol. 29 Issue 10, p3219 

    A general expression is derived for the beat-resonant coupling electrostatic modes in a Vlasov plasma. The result for the coupling of two modes has a simple structure: the appropriate momentum gradient of the equilibrium particle distribution is weighted by a positive coupling coefficient 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