### Field-Theoretical Representation of Interactions between Particles: Non-Statistical Dynamic Mechanism of Irreversible Thermodynamic Equilibration

### A. Yu. Zakharov, V. V. Zubkov

*Yaroslav-the-Wise Novgorod State University, 173003 Veliky Novgorod, Russia
Tver State University, 170002 Tver, Russia*

**Abstract:**

1. The class of stable interatomic potentials can be represented exactly as a superposition of Yukawa potentials.
2. An auxiliary scalar field was 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.
3. A relativistic Lagrangian is proposed for a system consisting of atoms and an auxiliary scalar field. A complete system of equations for the relativistic dynamics of a system consisting of atoms and an auxiliary field was obtained.
4. A closed kinetic equation was derived for the probability-free microscopic distribution function of atoms. It was shown that the finite mass of the auxiliary field leads to a significant increase in the effect of interaction retardation in the dynamics of a system of interacting particles.
5. A non-statistical dynamic mechanism of the irreversible thermodynamic equilibration is proposed.
References
[1] A. Yu. Zakharov, M. A. Zakharov. Microscopic Dynamic Mechanism of Irreversible Thermodynamic Equilibration of Crystals. Quantum Reports. 2021; 3(4):724-730.
[2] A. Yu. Zakharov, V. V. Zubkov. Field-Theoretical Representation of Interactions between Particles: Classical Relativistic Probability-Free Kinetic Theory. Universe. 2022; 8(5):281.