Initial damping of large amplitude waves

Journal Article · Sun Mar 01 04:00:00 EST 1981 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.863380· OSTI ID:6562067

Sugihara, R; Yamanaka, K; Ohsawa, Y; Kamimura, T

Nonlinear damping rates of finite amplitude electrostatic waves are obtained by using an invariant perturbation method. The result is valid in an initial phase defined by 0 < t < or approx. =t/sub b/equivalent..pi../..omega../sub b/ (..omega../sub b/ is the bounce frequency). As eVertical BarphiVertical Bar/T (phi is the wave potential, and T is the temperature) increases, the nonlinear initial damping becomes significant and it dominates the linear damping rate ..gamma../sub l/ when, for example, eVertical BarphiVertical Bar/T> or approx. =0.3 for k = 0. 2k/sub D/ (k/sub D/ the Debye shielding constant) and eVertical BarphiVertical Bar/T> or approx. =0.7 for k = 0.3k/sub D/. The theory does not assume a constant slope of the velocity distribution function f/sub 0/ at the phase velocity v/sub p/ since higher order derivatives of f/sub 0/ at v/sub p/, partial/sup n/f/sub 0//partialv/sub p//sup n/ (n = 3,5) play an essential role in enhanced damping. First, a dispersion relation is obtained, is solved for the Langmuir wave, and the theory is applied to an ion-acoustic wave. A simulation study is carried out on the latter wave. The result confirms the validity of the theory.

• Research Organization: Institute of Plasma Physics, Nagoya University, Nagoya, Japan
• OSTI ID: 6562067
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 24:3; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
CORRELATIONS
DAMPING
DISPERSION RELATIONS
DISTRIBUTION FUNCTIONS
FUNCTIONS
ION ACOUSTIC WAVES
ION WAVES
NONLINEAR PROBLEMS
PERTURBATION THEORY
PLASMA SIMULATION
PLASMA WAVES
SIMULATION
VELOCITY