Projects per year
Abstract
Quantum statistics and electron trapping have a decisive influence on the propagation characteristics of coherent stationary electrostatic waves. The description of these strictly nonlinear structures, which are of electron hole type and violate linear Vlasov theory due to the particle trapping at any excitation amplitude, is obtained by a correct reduction of the threedimensional (3D) FermiDirac distribution function to one dimension and by a proper incorporation of trapping. For small but finite amplitudes the holes become of cnoidal wave type and the electron density is shown to be described by a phi(x)^{1/2} rather than a phi(x) expansion, where phi(x) is the electrostatic potential. The general coefficients are presented for a degenerate plasma as well as the quantum statistical analogue to these steady state coherent structures, including the shape of phi(x) and the nonlinear dispersion relation, which describes their phase velocity.
Original language  English 

Article number  052114 
Number of pages  7 
Journal  Physics of Plasmas 
Volume  23 
Issue number  5 
DOIs  
Publication status  Published  19 May 2016 
Keywords
 electron trapping
 FermiDirac distribution
 electrostatic wave
Fingerprint
Dive into the research topics of 'On the correct implementation of FermiDirac statistics and electron trapping in nonlinear electrostatic plane wave propagation in collisionless plasmas'. Together they form a unique fingerprint.Projects
 1 Finished

MultiScale Numerical Modelling of Magnetised Plasma Turbulence
Eliasson, B., Phelps, A. & Ronald, K.
EPSRC (Engineering and Physical Sciences Research Council)
26/01/15 → 25/07/18
Project: Research