New York: Cambridge University Press, 2000. — 326 p.The book begins with a succinct review of the fundamentals of continuum mechanics and thermodynamics of solids, and presents the theory of lattice vibration in solids. The author then introduces the various equations of state, moving on to a discussion of melting laws and transport properties. The book closes with a discussion of current seismological, thermal and compositional models of the Earth. No special knowledge of geophysics or mineral physics is required, but a background in elementary physics is helpful. The new edition of this successful textbook has been enlarged and fully updated, taking into account the considerable experimental and theoretical progress recently made in understanding the physics of deep-Earth materials and the inner structure of the Earth. Like the first edition, this will be a useful textbook for graduate and advanced undergraduate students in geophysics and mineralogy. It will also be of great value to researchers in Earth sciences, physics and materials sciences.Jean-Paul Poirier is Professor of Geophysics at the Institut de Physique du Globe de Paris, and a corresponding member of the Acade´mie des Sciences. He is the author of over one-hundred-and-thirty articles and six books on geophysics and mineral physics, including Creep of Crystals Cambridge University Press, 1985) and Crystalline Plasticity and Solid-state flow of Metamorphic Rocks with A. Nicolas (Wiley, 1976).Preface to the first edition page Preface to the second edition Introduction to the first edition Background of thermodynamics of solid Extensive and intensive conjugate quantitie Thermodynamic potential Maxwell’s relations. Stiffnesses and compliance Elastic moduli Background of linear elasticity Elastic constants and moduli Thermoelastic coupling Generalities Isothermal and adiabatic moduli Thermal pressure Lattice vibrations Generalities Vibrations of a monatomic lattice Dispersion curve of an infinite lattice Density of states of a finite lattice bye’s approximation Debye’s frequency Vibrational energy and Debye temperature Specific heat Validity of Debye’s approximation Mie—Grüneisen equation of state The Grüneisen parameters Harmonicity, anharmonicity and quasi-harmonicity Generalities Thermal expansion Equations of state Generalities Murnaghan’s integrated linear equation of state Birch—Murnaghan equation of state Finite strain Second-order Birch—Murnaghan equation of state Third-order Birch—Murnaghan equation of state A logarithmic equation of state The Hencky finite strain The logarithmic EOS Equations of state derived from interatomic potentials EOS derived from the Mie potential The Vinet equation of state Birch’s law and velocity—density systematics Generalities Bulk-velocity—density systematics Thermal equations of state Shock-wave equations of state Generalities The Rankine—Hugoniot equations Reduction of the Hugoniot data to isothermal equation of state First principles equations of state Thomas—Fermi equation of state Ab-initio quantum mechanical equations of state Melting Generalities Thermodynamics of melting Clausius—Clapeyron relation Volume and entropy of melting Metastable melting Semi-empirical melting laws Simon equation Kraut—Kennedy equation Theoretical melting models Shear instability models Vibrational instability: Lindemann law Lennard-Jones and Devonshire model Dislocation-mediated melting Summary Melting of lower-mantle minerals Melting of MgSiO perovskite Melting of MgO and magnesiowu¨ stite Phase diagram and melting of iron Transport properties Generalities Mechanisms of diffusion in solids Viscosity of solids Diffusion and viscosity in liquid metals Electrical conduction Generalities on the electronic structure of solids Mechanisms of electrical conduction Electrical conductivity of mantle minerals Electrical conductivity of the fluid core Thermal conduction Earth models Generalities Seismological models Density distribution in the Earth The PREM model Thermal models Sources of heat Heat transfer by convection Convection patterns in the mantle Geotherms Mineralogical models Phase transitions of the mantle minerals Mantle and core models Appendix PREM model (1s) for the mantle and core Bibliography Index
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