Continual approach to the multiparticle systems with long-range interaction. Hierarchy of macroscopic fields and some physical consequences

It is shown that macroscopic physical phenomena in the multiparticle systems with long-range interaction are determined by the hierarchy of macroscopic fields with sources of the special tensor rank. The method of deriving the continual equations in the $(r,t)$ space is suggested. Equations describing the dynamics of dipole momentum and dipole macroscopic fields are obtained. It is shown that in some cases more detail consideration of interaction leads to the essential physical consequences. The equation of energy balance for the infinitesimal volume as an open system is obtained. It is shown that heat flow is not a flow of kinetic energy of particles but the flow of full energy of the infinitesimal volume.