Nonlinear Dynamics in a Nonextensive Complex Plasma with Viscous Electron Fluids

Cylindrical and spherical dust-electron-acoustic （DEA） shock waves and double layers in an unmagnetized, col- lisionless, complex or dusty plasma system are carried out. The plasma system is assumed to be composed of inertial and viscous cold electron fluids, nonextensive distributed hot electrons, Maxwellian ions, and negatively charged stationary dust grains. The standard reductive perturbation technique is used to derive the nonlinear dynamical equations, that is, the nonplanar Burgers equation and the nonplanar further Burgers equation. They are also numerically analyzed to investigate the basic features of shock waves and double layers （DLs）. It is observed that the roles of the viscous cold electron fluids, nonextensivity of hot electrons, and other plasma parameters in this investigation have significantly modified the basic features （such as, polarity, amplitude and width） of the nonplanar DEA shock waves and DLs. It is also observed that the strength of the shock is maximal for the spherical geometry, intermediate for cylindrical geometry, while it is minimal for the planar geometry. The findings of our results obtained from this theoretical investigation may be useful in understanding the nonlinear phenomena associated with the nonplanar DEA waves in both space and laboratory plasmas.

Simulation of nonlinear behavior in an electron cyclotron resonance plasma

Some nonlinear behavior in electron cyclotron resonance plasma was investigated using a two-dimension hybrid-mode with self-consistent microwave absorption. The saturation,oscillations of plasma parameters (plasma density, potential, electron temperature) versus operating conditions (pressure, power) are discussed. Our simulation results are consistent qualitatively with many experimental measurements.

A Macro Projective IntegrationMethod in 2D Microscopic System Applied to Nonlinear Ion Acoustic Waves in a Plasma

In the Equation-free framework,amacro-coarse projective integrationmethod consists of two parts:the time stepper and time projection on macro scale.The first one consists of lifting,micro simulation and restriction.For extracting directly from microscopic simulations the information which would be obtained from the macroscopic model of two-dimensional microscopic systems,the time stepper based on the one-dimensional cumulative distribution functions,the marginal cumulative and appropriate number of the conditional cumulative distributions,is introduced.Here this procedure is tested on the nonlinear ion acoustic wave in a plasma.The numerical micro-solver is the one dimensional electrostatic particle-in-cell code.It is shown that particle correlations related to wave structures are better preserved by the new model.The lifting step is critically related to the noise in system.The enlarged noise,rise of correlations,trapping of particles during the wave steepening can seriously violate the basic assumptions of the equation-free approach.