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...

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...

Dynamical functions depending on the state of one marked test particle of a classical many-body system are considered. The time evolution is described by differential equations whose coefficients are random and in addition depend on the initial state of the test-particle. To remove this...

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...