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The properties of materials near structural phase transitions are oftensuccessfully described in the framework of Landau theory. While the focus isusually on phase transitions, which are induced by temperature changesapproaching a critical temperature T-c, here we will discuss structural phasetransformations driven by high hydrostatic pressure, as they are of majorimportance for understanding processes in the interior of the earth. Since atvery high pressures the deformations of a material are generally very large,one needs to apply a fully nonlinear description taking physical as well asgeometrical nonlinearities (finite strains) into account. In particular it isnecessary to retune conventional Landau theory to describe such phasetransitions. In Troster et al (2002 Phys. Rev. Lett. 88 55503) we constructed aLandau-type free energy based on an order parameter part, an orderparameter-(finite) strain coupling and a nonlinear elastic term. This modelprovides an excellent and efficient framework for the systematic study of phasetransformations for a wide range of materials up to ultrahigh pressures.

Finite strain Landau theory of high pressure phase transformations