Mechanisms of solid-phase reactions were investigated experimentally and theoretically during recent decades that can have direct connections to the formation of organic substances in space and their delivery to Earth and to the problems of prebiotic evolution. Among such mechanisms are molecular tunneling (hypothesis of the cold prehistory of life), polycondensation of solid monomers by shock waves (problem of the delivery of organic substances to Earth by meteorites), thermal and thermal-wave explosions and oscillations of temperature and radical concentrations in small cold particles under radiation exposure, arid mechanochemical explosions and autowave propagation of chemical reactions due to the positive feedback between the fragile destruction of solids and reactions at freshly formed surfaces.