6 citations · 39 across the 22 of their papers we have counts for
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Molecular Brownian motion and invariance group of the Bogolyubov equation
Yuriy E. Kuzovlev
Statistics of molecular random walks in a fluid is considered with the help of Bogolyubov equation for generating functional of distribution functions. An invariance group of this…
Exact stochastic Liouville and Schrödinger equations for open systems
Yuriy E. Kuzovlev
An universal form of kinetic equation for open systems is considered which naturally unifies classical and quantum cases and allows to extend concept of wave function to open quant…
On Brownian motion in ideal gas and related principles
Yuriy E. Kuzovlev
Brownian motion of particle interacting with atoms of ideal gas is discussed as a key problem of kinetics lying at the border between ``dead'' systems like the Lorentz gas or forma…
Molecular random walks in a fluid and an invariance group of the Bogolyubov generating functional equation
Yuriy E. Kuzovlev
The problem of statistics of molecular random walks in a classical fluid is analyzed by means of the BBGKY hierarchy of equations reformulated in terms of the Bogolyubov evolution…
Thermodynamic restrictions on statistics of molecular random walks
Yu. E. Kuzovlev
It is shown that time reversibility of Hamiltonian microscopic dynamics and Gibbs canonical statistical ensemble of initial conditions for it together produce an exact virial expan…
Virial expansion of molecular Brownian motion versus tales of "statistical independency"
Yuriy E. Kuzovlev
Basing on main principles of statistical mechanics only, an exact virial expansion for path probability distribution of molecular Brownian particle in a fluid is derived which conn…