The interaction of components during high-temperature annealing of compressed magnesium and boron powders in the technologies for obtaining the superconducting compound MgB2 in works using standard synthesis technology and hot gas-static pressing technology is considered. The effect of the kinetics of crystal growth and diffusion of components released at the interface on the morphology of dissipative structures formed during phase transformation is studied in a computer model of crystallization of a binary alloy. The conditions and mechanism of formation of “dendrite-like” and “layered” structures arising during crystallization of MgB2 from magnesium melt (Mg –%B) are analyzed. It is shown that the application of pressure during the synthesis of the compound makes it possible to control the morphology of the resulting dissipative structures that determine the degree of development of porosity and liquation heterogeneity of the composition in a massive superconductor.