  This paper revises traditional phenomenological approaches to the application
of Vlasov equation to describe the dissipative systems. The original equation
by A.A. Vlasov obtained differs from the classical Vlasov equation used in the
scientific literature. The classical Vlasov equation cannot be used to describe
the dissipative systems. The original Vlasov equation contains a non-zero
right-hand side, derived from the first principles. It is shown that the
original Vlasov equation describes the dissipative systems by the
non-phenomenological way. The numerical modeling of the dissipative systems
using the motion equations solution is performed. The numerical results show
the good agreement with the exact solutions of the original Vlasov equation for
the dissipative systems. In this way, a wide range of the statistical physics
problems, the plasma physics, the astrophysics, the high-energy physics, the
controlled fusion using the original Vlasov equation can be revised.

Computational Physics