In this project we will accomplish systematic theoretical and computer-assisted studies of such collective reciprocal effects and
transportation processes, with which irregularly formed, charged dust particles play an important role in magnetized plasmas. The emphasis
is thereby on the understanding of complex procedures, which arise on large spatial and temporal scales in dusty astrophysical and
laboratory plasmas. The investigations are to be performed with modern analytic and numeric procedures, and should included in particular
the dynamics of the dust particles. Both kinetic and multi-liquid models are to be used, in order to examine the following problems:
- Investigations of the charge of the irregular dust particles and the screen by circulating ions.
- Dynamics of loaded dust particles under the influence of the so-called Ion-Drags and electromagnetic forces in partly ionized dusty plasmas.
- Statistic description of waves and instabilities in inhomogenous, dusty magnetoplasmas including self gravitation, radiation generation
by rotating dust particles, incoherent dispersion of radiation by non-thermal, low-frequency fluctuations.
- Formation and dynamics of solitons, plasma holes, shocks and eddies in weak and strongly coupled dusty plasma systems.
- Computation of transportation coefficients (e.g. abnormal diffusion coefficients, thermal conductivity, dust heating and cooling, dust
transport, turbulent resistivity).
These investigations will contribute to understand already existing and future observations of the mesosphere of the earth and
astrophysical plasmas as well as to accomplish new laboratory experiments with external magnetic fields, which lead to a
better understanding of the dynamics of dust particles and their reciprocal effects with a plasma.
The main objectives of the investigations can be characterized in the following five points:
The development of theories and models for the charging process of dust grains and the screen of the dust particles by
trapped, circulating ions: The past standard-OLM-theory (Orbit Limited Motion) must be improved so that it can treat a
distribution of irregularly formed dust particles of different size too.
- The nonlinear dynamics of charged dust particles: In a partial ionized magnetoplasma in presence of ion-drag- and electromagnetic forces a model should be found,
which describes the reciprocal effect of the different components of the plasma among themselves self-consistently.
- Development of statistic kinetic models for waves and instabilities in impact-certain, dusty magnetoplasmas: Here effects
such as ionization, recombination, dust charge impacts and self gravitation are to be considered. First the equilibrium of an inhomogenous, partly
ionized, dusty magnetoplasma is to be examined. Building upon that the characteristics of waves and instabilities are to be examined with
the help of suitable disturbances. It is to be expected due to past examinations that new instabilities arise, if the inertia of the dust and
inhomogeneities (e.g. gradients in pressure and speed) are considered.
- New instabilities due to the rotation of non-spherical dust particles: If the rotation of non-spherical dust particles plays a
role, it then may arise a radiation of a dusty plasma in the microwave range. Such effects were already observed in astrophysical
plasmas, are however also expected in laboratory plasmas too. Furthermore non-thermal fluctuations can stear electromagnetic waves
and can give in situ explanation about the polarization of the light and the parameters of the background plasma. Here investigations of the particle transport of plasma
and dust in presence of an existing turbulence are to be accomplished.
- Finally, the formation and the dynamics of coherent, nonlinear structures in an inhomogenous dusty magnetoplasma are to be studied:
In the center of interest are structures such as solitons, shocks, doublelayers, plasma- and dust-holes and eddies. Analytic and
numeric results are to be compared with measurements of space and laboratory plasmas qualitatively and quantitatively.