Results 1 - 10 of 219
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[en] A pair of low-frequency electrostatic modes, which are very similar to those experimentally observed by Praburam and Goree [Phys. Plasmas 3, 1212 (1996)], are found to exist in a dusty plasma with a significant background neutral pressure and background ion streaming. One of these two modes is the dust-acoustic mode and the other one is a new mode which is due to the combined effects of the ion streaming and ion--neutral collisions. It has been shown that in the absence of the ion streaming, the dust-acoustic mode is damped due to the combined effects of the ion--neutral and dust--neutral collisions and the electron--ion recombination onto the dust grain surface. This result disagrees with Kaw and Singh [Phys. Rev. Lett. 79, 423 (1997)], who reported collisional instability of the dust-acoustic mode in such a dusty plasma. It has also been found that a streaming instability with the growth rate of the order of the dust plasma frequency is triggered when the background ion streaming speed relative to the charged dust particles is comparable or higher than the ion--thermal speed. This point completely agrees with Rosenberg [J. Vac. Soc. Technol. A 14, 631 (1996)]
[en] The generation of electrostatic wakefields by an ordinary mode radiation and a magnetic field-aligned circularly polarized electromagnetic (CPEM) wave in a magnetized electron-positron-ion (e-p-i) plasma is considered. It is found that the presence of the ions is essential for the generation of upper-hybrid wakefields by the ordinary mode radiation, while the magnetic field-aligned electron plasma wakefields are created by the ponderomotive force of CPEM only if either the ions or the external magnetic field is present in an e-p-i magnetoplasma. The electromagnetic wave generated wakefields can trap both the electrons and the positrons and accelerate them to very high energies.
[en] We present a simple analytical nonlinear theory for quantum diodes in a dense Fermi magnetoplasma. By using the steady-state quantum hydrodynamical equations for a dense Fermi magnetoplasma, we derive coupled nonlinear Schoedinger and Poisson equations. The latter are numerically solved to show the effects of the quantum statistical pressure, the quantum tunneling (or the quantum diffraction), and the external magnetic field strength on the potential and electron density profiles in a quantum diode at nanometer scales. It is found that the quantum statistical pressure introduces a lower bound on the steady electron flow in the quantum diode, while the quantum diffraction effect allows the electron tunneling at low flow speeds. The magnetic field acts as a barrier, and larger potentials are needed to drive currents through the quantum diode
[en] Dense quantum plasmas are ubiquitous in compact astrophysical objects (e.g. the interior of white dwarf stars, in magnetars, etc.), in semiconductors and micro-mechanical systems, as well as in the next generation intense laser-solid density plasma interaction experiments. In contrast to classical plasmas, one encounters extremely high plasma density and low temperature in dense quantum plasmas. In the latter, the electrons and positrons obey the Fermi-Dirac statistics, and there are new forces associated with i) quantum statistical electron and positron pressures, ii) electron and positron tunneling through the Bohm potential, and iii) electron and positron spin-1/2. Inclusion of these quantum forces gives rise to very high-frequency plasma waves (e.g. in the x-ray regime) at nanoscales. Our objective here is to present nonlinear equations that depict the localization of electron plasma waves in the form of a quantum electron hole and quantum vortex, as well as the trapping of intense electromagnetic waves into a quantum electron hole. Our simulation results reveal that these nonlinear nanostructures are quite robust. Hence, they can be explored for the purpose of transferring localized electrostatic and electromagnetic energies over nanoscales.
[en] By means of a Madelung decomposition, exact periodic traveling solutions are constructed for a modified nonlinear Schroedinger equation derived by Stenflo and Gradov, describing electrostatic surface waves in semi-infinite plasma. The condition for the existence of bistable equilibria is discussed. A conservation law as well as the modulational instability admitted by the model are analyzed.
[en] The quantum Zakharov system in three spatial dimensions and an associated Lagrangian description, as well as its basic conservation laws, are derived. In the adiabatic and semiclassical cases, the quantum Zakharov system reduces to a quantum modified vector nonlinear Schroedinger (NLS) equation for the envelope electric field. The Lagrangian structure for the resulting vector NLS equation is used to investigate the time dependence of the Gaussian-shaped localized solutions, via the Rayleigh-Ritz variational method. The formal classical limit is considered in detail. The quantum corrections are shown to prevent the collapse of localized Langmuir envelope fields, in both two and three spatial dimensions. Moreover, the quantum terms can produce an oscillatory behavior of the width of the approximate Gaussian solutions. The variational method is shown to preserve the essential conservation laws of the quantum modified vector NLS equation. The possibility of laboratory tests in the next generation intense laser-solid plasma compression experiment is discussed.
[en] New aspects of collective nonlinear dust-plasma interactions are presented. These are the formation of dust ion-acoustic shocks and Langmuir envelope solitons in a uniform dusty plasma, as well as self-organization of incompressible dust fluid in the form of vortical structures in a non-uniform dusty plasma. We present relevant non-linear models and their numerical simulations for those nonlinear waves and structures. The relevance of our investigation to laboratory and space dusty plasmas is discussed
[en] Exact nonlinear stationary solutions of the one-dimensional Wigner and Wigner-Poisson equations in the terms of the Wigner functions that depend not only on the energy but also on position are presented. In this way, the Bernstein-Greene-Kruskal modes of the classical plasma are adapted for the quantum formalism in the phase space. The solutions are constructed for the case of a quartic oscillator potential, as well as for the self-consistent Wigner-Poisson case. Conditions for well-behaved physically meaningful equilibrium Wigner functions are discussed.
[en] Starting from the governing equations for a quantum magnetoplasma including the quantum Bohm potential and electron spin-1/2 effects, we show that the system of quantum magnetohydrodynamic (QMHD) equations admits rarefactive solitons due to the balance between nonlinearities and quantum diffraction and tunneling effects. It is found that the electron spin-1/2 effect introduces a pressurelike term with negative sign in the QMHD equations, which modifies the shape of the solitary magnetosonic waves and makes them wider and shallower. Numerical simulations of the time-dependent system shows the development of rarefactive QMHD solitary waves that are modified by the spin effects
[en] A perpendicular ion drift is proposed as a possible mechanism for the generation of magnetic field structures in a highly collisional dusty plasma. The basic dissipation mechanism is assumed to be the dust-neutral momentum exchange, so that plasmas with a small ionization fraction are natural candidates for experiments. The model reduces to a nonlinear partial differential equation for the vector potential. The conditions for linear instability are presented. Possible stationary states are periodic arrangements for the magnetic field, described by a Lienard equation. The fully depleted (ion-dust) case is also considered in detail. Applications of the present work to magnetic field structures in planetary rings, comets, and low-temperature dusty plasma experiments are discussed. A necessary condition for the validity of the model is a sufficiently slow time scale of the generated magnetic fields in dusty plasmas.