Elastic curves and phase transitions

Phase transitions, Kauzmann curves, and inverse melting.

Walter Kauzmann's classic 1948 review of liquid supercooling and glass formation drew attention to the temperatures at which (by extrapolation) enthalpies and entropies of liquid and crystal phases would appear to become equal. In the temperature-pressure (T, p) plane, the collection of such 'Kauzmann temperatures' generate characteristic curves. The present study examines the connection of tho...

Phase transitions of elastic solid materials

Elastic properties as a pointer to phase transitions

Calculating phase boundaries from energy differences is a major application of DFT. The main obstacle to a predictive capacity is lack of knowledge of candidate structures. The three approaches to finding them are: educated guesswork, molecular dynamics to simulate the transition mechanism or examination of harmonic properties. Here, we utilise harmonic properties as symmetry signposts toward c...

The Nonlinear Theory of Elastic Shells with Phase Transitions

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Phase transitions of binary alloys with elastic inhomogeneity.

In elastically inhomogeneous alloys, in which the shear modulus depends on the composition, coarsening in phase separation can be pinned even without quenched disorder. Here networks in the soft phase enclose the domains in the hard phase. Highly asymmetric strains in the two regions create large free energy barriers that prevent further coarsening. Thus a phase transition occurs between the on...