Moment equation in the kinetic theory of turbulent flows

The influence of magnetic induction on the equation of motion of a mixture of two kinds of particles, one of which is affected by the Lorentz force, is employed to show that nonlinear dynamic systems can have a solution which is denoted as a deterministic chaos. The system of these equations is derived by applying an assumption concerning time changes of moments of the binary correlation function. The topic analyzed include low intensity fluctuations, the character of a superensemble representation, generalized Enskog's transfer equations, and the equation for momentum of particles and moments of correlation functions. Various types of nonlinearities in moment equations are discussed, as is the influence of magnetic induction upon the origin of turbulent flows in a mixture of gases.