Nonlinear electromagnetic susceptibilities of unmagnetized plasmas
Abstract
Fully electromagnetic nonlinear susceptibilities of unmagnetized plasmas are analyzed in detail. Concrete expressions of the secondorder nonlinear susceptibility are found in various forms in the literature, usually in connection with the discussions of various threewave decay processes, but the thirdorder susceptibilities are rarely discussed. The secondorder susceptibility is pertinent to nonlinear wavewave interactions (i.e., the decay/coalescence), whereas the thirdorder susceptibilities affect nonlinear waveparticle interactions (i.e., the induced scattering). In the present article useful approximate analytical expressions of these nonlinear susceptibilities that can be readily utilized in various situations are derived.
 Authors:
 Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 207422431 (United States)
 Publication Date:
 OSTI Identifier:
 20782335
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 12; Journal Issue: 11; Other Information: DOI: 10.1063/1.2136108; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COALESCENCE; DECAY; NONLINEAR PROBLEMS; PLASMA; PLASMA WAVES; SCATTERING; TURBULENCE
Citation Formats
Yoon, Peter H. Nonlinear electromagnetic susceptibilities of unmagnetized plasmas. United States: N. p., 2005.
Web. doi:10.1063/1.2136108.
Yoon, Peter H. Nonlinear electromagnetic susceptibilities of unmagnetized plasmas. United States. doi:10.1063/1.2136108.
Yoon, Peter H. Tue .
"Nonlinear electromagnetic susceptibilities of unmagnetized plasmas". United States.
doi:10.1063/1.2136108.
@article{osti_20782335,
title = {Nonlinear electromagnetic susceptibilities of unmagnetized plasmas},
author = {Yoon, Peter H.},
abstractNote = {Fully electromagnetic nonlinear susceptibilities of unmagnetized plasmas are analyzed in detail. Concrete expressions of the secondorder nonlinear susceptibility are found in various forms in the literature, usually in connection with the discussions of various threewave decay processes, but the thirdorder susceptibilities are rarely discussed. The secondorder susceptibility is pertinent to nonlinear wavewave interactions (i.e., the decay/coalescence), whereas the thirdorder susceptibilities affect nonlinear waveparticle interactions (i.e., the induced scattering). In the present article useful approximate analytical expressions of these nonlinear susceptibilities that can be readily utilized in various situations are derived.},
doi = {10.1063/1.2136108},
journal = {Physics of Plasmas},
number = 11,
volume = 12,
place = {United States},
year = {Tue Nov 15 00:00:00 EST 2005},
month = {Tue Nov 15 00:00:00 EST 2005}
}

The Stieltjes transform has been used in place of a more common Laplace transform to determine the time evolution of the selfconsistent field (SCF) of an unmagnetized semiinfinite plasma, where the plasma electrons together with a primary and a lowdensity secondary electron beam move perpendicular to the boundary surface. The secondary beam is produced when the primary beam strikes the grid. Such a plasma system has been investigated by Griskey and Stanzel [M. C. Grisky and R. L. Stenzel, Phys. Rev. Lett. 82, 556 (1999)]. The physical phenomenon, observed in their experiment, has been named by them as ''secondary beammore »

Linear and Nonlinear Electrostatic Waves in Unmagnetized Dusty Plasmas
A rigorous and systematic theoretical study has been made of linear and nonlinear electrostatic waves propagating in unmagnetized dusty plasmas. The basic features of linear and nonlinear electrostatic waves (particularly, dustionacoustic and dustacoustic waves) for different space and laboratory dusty plasma conditions are described. The experimental observations of such linear and nonlinear features of dustionacoustic and dustacoustic waves are briefly discussed. 
Poynting vector, energy densities, and pressure of collective transverse electromagnetic fluctuations in unmagnetized plasmas
A systematic calculation of the electromagnetic properties (Poynting vector, electromagnetic energy, and pressure) of the collective transverse fluctuations in unmagnetized plasmas with velocityanisotropic plasma particle distributions functions is presented. Timeaveraged electromagnetic properties for monochromatic weakly damped wavelike fluctuations and spaceaveraged electromagnetic properties for monochromatic weakly propagating and aperiodic fluctuations are calculated. For aperiodic fluctuations, the Poynting vector as well as the sum of the spaceaveraged electric and magnetic field energy densities vanish. However, aperiodic fluctuations possess a positive pressure given by its magnetic energy density. This finite pressure density p{sub a} of aperiodic fluctuations has important consequences for the dynamicsmore » 
Spontaneous electromagnetic fluctuations in unmagnetized plasmas. III. Generalized Kappa distributions
In the first two papers of this series, the general expressions for the spontaneous fluctuations spectra (electric and magnetic field, charge and current densities) from uncorrelated plasma particles are derived and illustrated for a Maxwellian (relativistic or nonrelativistic) plasma close to thermal equilibrium. In this paper, the results are illustrated for the nonideal case of a plasma out of thermal equilibrium and described by the generalized Kappa (powerlaw) particle distribution function in the nonrelativistic limit. The suprathermal fluctuations of weakly amplified modes and aperiodic modes are provided. Thus, it is shown for the first time the existing finite level ofmore » 
Spontaneous electromagnetic fluctuations in unmagnetized plasmas. VI. Transverse, collective mode for arbitrary distribution functions
Using the general expressions for the magnetic fluctuation spectrum from uncorrelated plasma particles, it is shown that an isotropic, unmagnetized plasma with arbitrary momentum distribution function spontaneously emits an aperiodic, collective, transverse, damped mode. The collective mode with the dispersion relation γ(k) provides the strongest contribution to the magnetic field fluctuation spectrum. Its existence has been proven before for Maxwellian and Lorentzian plasma distribution functions. Here it is demonstrated that this collective aperiodic mode exists in any isotropic unmagnetized, irrespective of the explicit form of the momentum distribution of plasma particles.