Application of Landau theory for the analysis of phase transitions in minerals

Salje, Ekhard K. H.

doi:10.1016/0370-1573(92)90035-x

Cited by 99 publications

(64 citation statements)

References 78 publications

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“…The nontrivial question is, as often in elasticity, to what extent strain-stress relations remain linear under these conditions. While it is clear that linearity is not obeyed for large stresses for virtually all materials, non-linearities for small stresses exist also for large classes of materials, such as elastomers (Adams and Warner 2005) or ferroic materials (Salje 1992). Once stresses are so small that relevant atomic displacements are smaller than thermal vibrational amplitudes, nonlinearities due to surface relaxations dominate, although it is very hard to measure such effects experimentally.…”

Section: Introductionmentioning

confidence: 99%

(An)elastic softening from static grain boundaries and possible effects on seismic wave propagation

Salje

2008

Phys Chem Minerals

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It is argued that low-frequency wave propagation shows, in most cases, very little dependence on the atomistic properties of grain boundaries if the thickness of the grain boundary is atomistically thin while the grain size is in the mm region. Large effects do exist for specific textures (e.g. the brick wall texture). The essential ingredient for the assessment of an-elastic and non-linear elastic features of seismic wave propagation does not primarily depend on the structural properties of immobile, dry grain boundaries but on the way the grain boundary properties can be related to those of macroscopic mineral assemblies. Specific results for coated sphere textures are derived using Hashin-Shtrikman theory. An-elastic seismic features are more likely to be related to the mobility of boundaries and dislocations which can be attached to the grain boundaries, or bulk-related defect structures, rather than the intrinsic materials properties of the grain boundaries.

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Section: Introductionmentioning

confidence: 99%

(An)elastic softening from static grain boundaries and possible effects on seismic wave propagation

Salje

2008

Phys Chem Minerals

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“…The obtained elastic constants c (1) el are weak-temperature dependent therefore we gave the mean values of them. Moreover, the elastic constants c (2) el , obtained by comparing the dependences J(ε) and ∂J/∂ε, are also shown in Table for and they are plausible for a macroscopic strains [16]. There are no experimental values of the elastic constants c el for these ferroelectric materials in the literature as yet.…”

Section: Application To Experimental Datamentioning

confidence: 99%

“…There are no experimental values of the elastic constants c el for these ferroelectric materials in the literature as yet. Therefore, the obtained theoretical elastic constants c (1) el and c (2) el , in two different ways, cannot be compared to any adequate experimental quantities.…”

Section: Application To Experimental Datamentioning

confidence: 99%

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Study of Order Parameters Coupling in Uniaxial Ferroelectrics on the Basis of Pyroelectric and Dilatometric Measurements

Gałązka

Zieliński

2010

Acta Phys. Pol. A

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A method is devised of extracting the explicit form of the coupling between the primary and secondary order parameters with the use of experimental data and respecting classical and non-classical values of the effective critical exponents. The corresponding equation of state stems from the Ising model on a compressible lattice treated within the mean field approximation supplemented with terms ascertaining scaling invariance in the vicinity of the critical point. The theory is exemplified by the molecular ferroelectric crystals (CH3NH3)5Bi2Cl11 (MAPCB) and (CH3NH3)5Bi2Br11 (MAPBB).

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“…However, while interfacial properties can generate multiferroic properties [24] one needs to also be careful to avoid trivial artefacts which have nothing to do with multiferroic behaviour at all [25]. With respect to such 'local' properties one observes often that interfaces and walls are not simply the classic interpolation of bulk properties as seen in Landau theory [26,27]. The non-ferroic material zircon serves as an example that undergoes a local transformation into a glassy state when irradiated by radiogenic impurities.…”

Section: Introductionmentioning

confidence: 99%