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We derived solutions for the Smoluchowski kinetic equation for the massfunction of galaxies, which describes mergers in differential approximation,where mergers with low-mass galaxies are the dominant factor. The evolution ofthe initial distribution is analyzed as well as the influence of the sourcerepresented by galaxies (halos) that separate from the global cosmologicalexpansion. It is shown that the evolution of the slope of the power-law part ofthe luminosity function at a constant mass-to-luminosity ratio observed in theUltra Deep Hubble Field can be described as a result of explosive evolutiondriven by galaxy mergers. In this case the exponent depends exclusively on theuniformity degree of merger probability as a function of mass.

Merger Driven Explosive Evolution of Distant Galaxies (Minor Mergers)