5 citations · 22 across the 22 of their papers we have counts for
23 papers
Field representation of interatomic interactions: from relativistic dynamics to microscopic thermodynamics of both many-body and few-body systems
A. Yu. Zakharov, V. V. Zubkov
It is proved that the class of stable interatomic potentials admits an exact representation in the form of a finite or infinite superposition of Yukawa potentials. An auxiliary sca…
Relativistic kinetic theory: toward the microscopic substantiation of zeroth law of thermodynamics
A. Yu. Zakharov, V. V. Zubkov
An exact closed relativistic kinetic equation is derived for a system of identical classical particles interacting with each other through a scalar field. The microscopic determini…
Towards the microscopic foundation of the zeroth law of thermodynamics
A. Yu. Zakharov, M. A. Zakharov
The dynamics of free vibrations of a chain of atoms is investigated taking into account the retardation of interactions. It is shown that all oscillations of the circuit are damped…
Relativism versus statistics in the microscopic foundation of thermodynamics
A. Yu. Zakharov, M. A. Zakharov
Highlights: \begin{itemize} \item Relativistic effect of crystal dynamics "freezing". \item Non-statistical model of thermodynamic equilibration. \end{itemize} The dynamics of osci…
Relativistic kinetic theory of classical systems of charged particles: towards the microscopic foundation of thermodynamics and kinetics
A. Yu. Zakharov
In the complete system of equations of evolution of the classical system of charges and the electromagnetic field generated by them, the field variables are excluded. An exact clos…
Irreversibility in two-body system. Toy model
A. Yu. Zakharov
It is shown that the irreversible behavior of classical systems of interacting particles is a common property for both few-body and many-body systems. It is due to the delay in the…