As a model for resonant wave-wave interaction three nonlinearly coupled oscillators in a harmonic lattice are considered. Using a stochastic description the influence of the nonresonant oscillators on the energy transfer is studied in the weak coupling limit. Conditions for amplitude and energy...

It is shown how kinetic equations or equations for the moments of stochastic processes with beginning and ending paths could be derived if one assumes that the corresponding processes with starting and end points can be described with kinetic equations. Generally, one doesn't get a closed...

To compare the different kinetic equations derived in a previous paper for weakly coupled systems, the results are applied to coupled harmonic oscillators and a one-component plasma in a magnetic field. Using the harmonic interaction as an example, it is demonstrated that reasonable results can...

Noninteracting rigid spheroids are considered which are suspended in a homogeneous turbulent flow. A renormalized expansion is used to derive a kinetic equation whose coefficients are determined by the Lagrangian correlation function of the turbulent velocity field and by the translational...

For a system of noninteracting spheroidal Brownian particles a Fokker-Planck equation is derived which takes into account a hydrodynamical coupling between translational and orientational degrees of freedom. With the moment method, transport relaxation equations are obtained from which an...

A system of noninteracting nonspherical Brownian particles with dipole moment parallel to the symmetry axis is studied in the presence of an external homogeneous electric field. A generalized Fokker-Planck equation is introduced which takes into account anisotropic translational and rotational...

For stable systems the heat conduction due to the charge carriers in a weakly ionized plasma of electrons, ions and neutral atoms is studied in the presence of a strong external magnetic field. A kinetic theory description is given in terms of transport-relaxation equations derived from the...

The method of Y.L.Klimontovich is explained by a perturbation expansion technique concerning an appropriate norm determined by the considered physical problems. It can be demonstrated, that the approximations of Klimontovich are equivalent with those used by N. Rostoker who treats the...

The dynamics of a classical system consisting of noninteracting linear molecules, which are described by rigid rotors, and a heat bath of point particles is studied from a microscopic point of view. Kinetic equations are derived in the weak coupling- and singular coupling limit. They are...

The kinetic equations for the 2-time conditional probability density are derived for Coulomb systems and coupled one-dimensional harmonic oscillators. The coupled oscillators are also treated exactly. The exact second central moment of the space coordinate is compared with that derived from the...