This paper represents an attempt to create a statistical picture of the process of formation of directed gas flows in pipes of constant cross-section at their initial stages. This attempt is based on the results of two previous publications by the authors devoted to the development of a special version of statistical physics – fragmented physical statistics with an established universal mechanism of self-ordering in systems of identical particles. Using an idealized model of gas flow formation, a qualitative statistical picture of entropy changes is determined for two components – orientational entropy and isotropic chaos entropy. The final quantitative picture is obtained using a probabilistic interpretation of mechanical motion. It is shown that the main characteristics of stationary molecular flows are described by formulas known from the special theory of relativity. This pattern of behavior was called quasi-relativism of molecular flows. The pressure dependences of gas flows obtained from consideration of ideal models of molecular systems coincide with the well-known Bernoulli equation, which is additional confirmation of the validity of the approach used. The numerical dependences of the entropy of ordered chaos and the entropy of the transition process from isotropic to ordered chaos have been established. The main conclusion was made: all transient processes in molecular systems always occur with an increase in entropy due to an increase in the orientation component, even those in which the molecular system is forcibly transferred to states with lower entropy.In unlimited systems, this can cause the spontaneous occurrence of self-ordering processes (vortexes, tornadoes, cyclones, lightning, etc.).