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The paper describes the development results on
one-dimensional (1D) asymptotic model of the formation kinetics for the objects
(clusters) of subnuclear (quark) and subatomic (nuclear) matters. A concept of
the objects distribution density wave φ(a, t)
in space of sizes a lies in the basis
for analytical description of the processes under consideration. The proposed
formalism makes it possible to describe in an adequate way the final outcomes
of the well-known catastrophic phenomena in the world of elementary particles.
Mass characteristics of different processes of approach to equilibrium in nuclear
reactions are calculated.