Thermodynamics, Phase Transitions, Equations of State, and Elasticity 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 publicationMineral Physics
PublisherElsevier Inc.
Pages179-202
Number of pages24
Volume2
ISBN (Electronic)9780444538031
ISBN (Print)9780444538024
DOIs
Publication statusPublished - 1 Jan 2015
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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