Field Form of the Dynamics of Classical Many-And Few-Body Systems: From Microscopic Dynamics to Kinetics, Thermodynamics and Synergetics

A method is proposed for describing the dynamics of systems interacting particles in terms an auxiliary field, which static mode equivalent to given interatomic potentials, and dynamic a classical relativistic composite field. It established that Fourier transform rational algebraic function wave vector, field composition elementary fields satisfy Klein-Gordon equation with complex masses. The interaction between carried by nonlocal both space variables time. temporal non-locality due nature can be described functional-differential equations retarded type. Due finiteness mass delay interactions arbitrarily large. qualitative analysis few-body many-body has been out, non-statistical mechanisms thermodynamic behavior synergistic effects established.