  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 scalar field is introduced to describe the dynamics of
a system of neutral particles (atoms) in the framework of classical field
theory. In the case of atoms at rest, this field is equivalent to the
interatomic potential, but in the dynamic case it describes the dynamics of a
system of atoms interacting through a relativistic classical field. A
relativistic Lagrangian for a system consisting of atoms and an auxiliary
composite field through which the atoms interact is proposed. Equations are
derived for the relativistic dynamics of a system consisting of atoms and an
auxiliary field via which the atoms interact. A closed system of equations for
the relativistic dynamics of a system consisting of atoms and an auxiliary
field through which the atoms interact is derived. In the resulting system, an
exact analytical exclusion of field variables is performed, and a closed
kinetic equation is derived with respect to the probability-free microscopic
atomic distribution function.
  Keywords: Classical relativistic dynamics; Causality principle; Stable
interatomic interactions; Irreversibility phenomenon; Retarded interactions
