Nonlinear dispersion of stationary waves in collisionless plasmas.

@article{Dodin2011NonlinearDO,
  title={Nonlinear dispersion of stationary waves in collisionless plasmas.},
  author={I. Y. Dodin and Nathaniel J. Fisch},
  journal={Physical review letters},
  year={2011},
  volume={107 3},
  pages={
          035005
        }
}
A nonlinear dispersion of a general stationary wave in collisionless plasma is obtained in a nondifferential form expressed in terms of a single-particle oscillation-center Hamiltonian. For electrostatic oscillations in nonmagnetized plasma, considered as a paradigmatic example, the linear dielectric function is generalized, and the trapped particle contribution to the wave frequency shift Δω is found analytically as a function of the wave amplitude a. Smooth distributions yield Δω ∼ a(1/2), as… 

Figures from this paper

Adiabatic nonlinear waves with trapped particles. II. Wave dispersion

A general nonlinear dispersion relation is derived in a nondifferential form for an adiabatic sinusoidal Langmuir wave in collisionless plasma, allowing for an arbitrary distribution of trapped

Nonlinear frequency shift of electrostatic waves in general collisionless plasma: Unifying theory of fluid and kinetic nonlinearities

The nonlinear frequency shift is derived in a transparent asymptotic form for intense Langmuir waves in general collisionless plasma. The formula describes both fluid and kinetic effects

Nonlinear interaction of a beam of finite density with a longitudinal wave

Quasistationary evolution of a longitudinal wave of finite amplitude in a homogeneous collisionless plasma penetrated by an electron beam is described. The evolution of the wave is accompanied by

Adiabatic nonlinear waves with trapped particles. III. Wave dynamics

The evolution of adiabatic waves with autoresonant trapped particles is described within the Lagrangian model developed in Paper I, under the assumption that the action distribution of these

Adiabatic nonlinear waves with trapped particles: I. General formalism

A Lagrangian formalism is developed for a general nondissipative quasiperiodic nonlinear wave with trapped particles in collisionless plasma. The adiabatic time-averaged Lagrangian density $\mcc{L}$

Average nonlinear dynamics of particles in gravitational pulses: Effective Hamiltonian, secular acceleration, and gravitational susceptibility

Particles interacting with a prescribed quasimonochromatic gravitational wave (GW) exhibit secular (average) nonlinear dynamics that can be described by Hamilton's equations. We derive the

On the nature of kinetic electrostatic electron nonlinear (KEEN) waves

An analytical theory is proposed for the kinetic electrostatic electron nonlinear (KEEN) waves originally found in simulations by Afeyan et al. [arXiv:1210.8105]. We suggest that KEEN waves represent

New wave effects in nonstationary plasmaa)

Through particle-in-cell simulations and analytics, a host of interesting and novel wave effects in nonstationary plasma are examined. In particular, Langmuir waves serve as a model system to explore