Theory and Practice - Thermodynamics, Equations of State, Elasticity, and Phase Transitions of Minerals at High Pressures and Temperatures

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Abstract

This chapter reviews some of the basic notions and equations describing thermodynamics of solids. Particular attention is paid to questions related to the elasticity and thermal equations of solids (especially at high pressures and temperatures) and phenomenology of phase transitions. Examples of applications of these ideas include modeling the thermal structure of the Earth's core and mantle, elucidation of the origin of the anisotropy of the D″ region, and a schematic picture of the effects of the spin transition of iron impurities on the properties of iron-bearing minerals in the Earth's mantle.

Original languageEnglish
Title of host publicationTreatise on Geophysics
PublisherElsevier
Pages121-152
Number of pages32
Volume2
ISBN (Print)9780444527486
DOIs
Publication statusPublished - 2007
Externally publishedYes

Keywords

  • Elastic constants
  • Free energy
  • Geotherm
  • Grüneisen parameter
  • Intrinsic anharmonicity
  • Isosymmetric transitions
  • Landau theory
  • Partition function
  • Phase transformations
  • Phonon spectrum
  • Polytypsim
  • Quasiharmonic approximation
  • Seismic anisotropy
  • Spin transition

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