Properties of hydro-dynamic nuclei for the quantum-field models

A transition is carried out to the hydro-dynamic limit for a quantum system of many particles with the N local conservation laws in a definite class of external actions. It is shown that the hydro-dynamic equations are nonlocal in time and space and that the hydro-dynamic model is equivalent to the initial quantum-statistical model. Nuclei are expressed through the Green functions for currents. It is followed from the Green function properties that the hydro-dynamic model satisfies the dissipativity conditions. The nuclei are connected by the reciprocity conditions (analog of the Onsager relations) in the case of the T invariance of the quantum-field model. 6 refs