Finite strain Landau theory of high pressure phase transformations

Finite-strain Landau theory applied to the high-pressure phase transition of lead titanate

A. Tröster,1,* S. Ehsan,1 K. Belbase,1 P. Blaha,1 J. Kreisel,2,3 and W. Schranz4 1Vienna University of Technology, Institute of Material Chemistry, Getreidemarkt 9, A-1060 Wien, Austria 2Department of Materials Research and Technology, Luxembourg Institute of Science and Technology, 41 Rue du Brill, L-4422 Belvaux, Luxembourg 3Physics and Materials Science Research Unit, University of Luxembour...

Fully Consistent Finite-Strain Landau Theory for High-Pressure Phase Transitions

Landau theory (LT) is an indispensable cornerstone in the thermodynamic description of phase transitions. As with structural transitions, most applications require one to consistently take into account the role of strain. If temperature drives the transition, the relevant strains are, as a rule, small enough to be treated as infinitesimal, and therefore one can get away with linearized elastici...

The High-Temperature Phase of Landau-Gauge Yang-Mills Theory

The properties of the high-temperature phase of Yang-Mills theory in Landau gauge are investigated by extending an earlier study on the infinite-temperature limit to finite temperatures. To this end the Dyson-Schwinger equations for the propagators of the gluon and the Faddeev-Popov ghost are solved analytically in the infrared and numerically at non-vanishing momenta. Gluons, polarized transve...

Three-dimensional Landau theory for multivariant stress-induced martensitic phase transformations. II. Multivariant phase transformations and stress space analysis

Lie-Poincaré transformations and a reduction criterion in Landau theory

In the Landau theory of phase transitions one considers an effective potential Φ whose symmetry group G and degree d depend on the system under consideration; generally speaking, Φ is the most general G-invariant polynomial of degree d. When such a Φ turns out to be too complicate for a direct analysis, it is essential to be able to drop unessential terms, i.e. to apply a simplifying criterion....