  The summary of the models offered by the author revealing features of the
physical mechanisms controlling processes of martensite crystal formation is
resulted. The rapid growth of a cooling martensite crystal is considered as a
self-organized process controlled by the quasi-longitudinal lattice
displacement waves (DW). It is shown, that processes of the heterogeneous
nucleation and wave growth have the genetic connection in case of spontaneous
fcc-bcc martensitic transformation. The exposition of strain martensite
formation is considered in the context of a cryston model.
