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It is proved that the class of stable interatomic potentials admits an exactrepresentation in the form of a finite or infinite superposition of Yukawapotentials. An auxiliary scalar field is introduced to describe the dynamics ofa system of neutral particles (atoms) in the framework of classical fieldtheory. In the case of atoms at rest, this field is equivalent to theinteratomic potential, but in the dynamic case it describes the dynamics of asystem of atoms interacting through a relativistic classical field. Arelativistic Lagrangian for a system consisting of atoms and an auxiliarycomposite field through which the atoms interact is proposed. Equations arederived for the relativistic dynamics of a system consisting of atoms and anauxiliary field via which the atoms interact. A closed system of equations forthe relativistic dynamics of a system consisting of atoms and an auxiliaryfield through which the atoms interact is derived. In the resulting system, anexact analytical exclusion of field variables is performed, and a closedkinetic equation is derived with respect to the probability-free microscopicatomic distribution function.  Keywords: Classical relativistic dynamics; Causality principle; Stableinteratomic interactions; Irreversibility phenomenon; Retarded interactions

Field representation of interatomic interactions: from relativistic dynamics to microscopic thermodynamics of both many-body and few-body systems