Equations of State for Solids at High Pressures and Temperatures

Equations of State for Solids at High Pressures and Temperatures

Author: V. N. Zharkov

Publisher: Springer Science & Business Media

Published: 2013-11-09

Total Pages: 265

ISBN-13: 147571517X

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We started our work on theoretical methods in the phys ics of high pressures (in connec tion with geophysical applications) in 1956, and we immediately encountered many problems. Naturally, we searched the published Iiterature for solutions to these problems but whenever we failed to find a solution or when the solution did not satisfy us, we attempted to solve the problern ourselves. We realized that other investigators working in the physics of high pres sures would probably encounter the same problems and doubts. Therefore, we decided to write this book in order to save our colleagues time and effort. Apart from the descriptions of ex perimental methods, the book deals only with those problems which we encountered in our own work. Allproblems in high-pressure physics have, at present, only approximate solutions, which are very rough. Therefore, it is not surprising that different investigators approach the same problems in different ways. Our approach does not prejudge the issue and we are fully aware that there are other points of view. Our aim was always to solve a glven problern on a physical basis. For example, the concept of the Grüneisenparameter needs further develop ment but it is based on reliable physical ideas. On the other hand, Simon's equation for the melting curve has, in our opinion, no clear physical basis and is purely empirical. Equations of this type are useful in systematic presentation of the experimental material but they are un suitable for any major extrapolation.


Equations of State for Solids in Geophysics and Ceramic Science

Equations of State for Solids in Geophysics and Ceramic Science

Author: Orson Anderson

Publisher: Oxford University Press

Published: 1995-01-12

Total Pages: 426

ISBN-13: 0195345274

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Written by a renowned expert in the field, this book is the most comprehensive treatment available on the applications of equations of state (EoS) in geophysics and materials science, a topic of fundamental importance to those studying the physics and chemistry of the Earth. Part one offers comprehensive treatments of thermal properties associated with EoS, thermodynamic and statistical mechanical backgrounds, and thermoelastic properties. Definitions of the physical properties needed for the EoS are provided as well. Part two discusses the isothermal pressure-volume relationship. The ab initio approach--EoS based upon quantum mechanics fundamentals using numerical methods--is utilized to clearly represent and analyze the measured data. Part three offers an advanced treatment of thermal properties at high temperature, and includes discussions of thermal pressure, shocked solids, and EoS applications to materials science topics such as melting and thermodynamic function. Advanced students, researchers, and professionals in geophysics, ceramics science, solid state physics, and geochemistry will want to read this book.


Fundamentals Of Equations Of State

Fundamentals Of Equations Of State

Author: Shalom Eliezer

Publisher: World Scientific

Published: 2002-03-05

Total Pages: 386

ISBN-13: 9814489530

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The equation of state was originally developed for ideal gases, and proved central to the development of early molecular and atomic physics. Increasingly sophisticated equations of state have been developed to take into account molecular interactions, quantization, relativistic effects, etc.Extreme conditions of matter are encountered both in nature and in the laboratory, for example in the centres of stars, in relativistic collisions of heavy nuclei, in inertial confinement fusion (where a temperature of 109 K and a pressure exceeding a billion atmospheres can be achieved). A sound knowledge of the equation of state is a prerequisite for understanding processes at very high temperatures and pressures, as noted in some recent developments.This book presents a detailed pedagogical account of the equation of state and its applications in several important and fast-growing topics in theoretical physics, chemistry and engineering.


Equations of State of Solids for Geophysics and Ceramic Science

Equations of State of Solids for Geophysics and Ceramic Science

Author: Orson L. Anderson

Publisher: Oxford University Press, USA

Published: 1995

Total Pages: 426

ISBN-13: 019505606X

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Written by a renowned expert in the field, this book is the most comprehensive treatment available on the applications of equations of state (EoS) in geophysics and materials science, a topic of fundamental importance to those studying the physics and chemistry of the Earth. Part one offers comprehensive treatments of thermal properties associated with EoS, thermodynamic and statistical mechanical backgrounds, and thermoelastic properties. Definitions of the physical properties needed for the EoS are provided as well. Part two discusses the isothermal pressure-volume relationship. The ^Iab initio^R approach--EoS based upon quantum mechanics fundamentals using numerical methods--is utilized to clearly represent and analyze the measured data. Part three offers an advanced treatment of thermal properties at high temperature, and includes discussions of thermal pressure, shocked solids, and EoS applications to materials science topics such as melting and thermodynamic function. Advanced students, researchers, and professionals in geophysics, ceramics science, solid state physics, and geochemistry will want to read this book.


Physics of the Earth

Physics of the Earth

Author: Frank D. Stacey

Publisher: Cambridge University Press

Published: 2008-08-28

Total Pages: 854

ISBN-13: 1107394236

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The fourth edition of Physics of the Earth maintains the original philosophy of this classic graduate textbook on fundamental solid earth geophysics, while being completely revised, updated, and restructured into a more modular format to make individual topics even more accessible. Building on the success of previous editions, which have served generations of students and researchers for nearly forty years, this new edition will be an invaluable resource for graduate students looking for the necessary physical and mathematical foundations to embark on their own research careers in geophysics. Several completely new chapters have been added and a series of appendices, presenting fundamental data and advanced mathematical concepts, and an extensive reference list, are provided as tools to aid readers wishing to pursue topics beyond the level of the book. Over 140 student exercises of varying levels of difficulty are also included, and full solutions are available online at www.cambridge.org/9780521873628.


High-pressure Shock Compression of Solids

High-pressure Shock Compression of Solids

Author: J. R. Asay

Publisher:

Published: 1993

Total Pages: 416

ISBN-13:

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This book presents a set of basic understandings of the behavior and response of solids to propagating shock waves. The propagation of shock waves in a solid body is accompanied by large compressions, decompression, and shear. Thus, the shear strength of solids and any inelastic response due to shock wave propagation is of the utmost importance. Furthermore, shock compres sion of solids is always accompanied by heating, and the rise of local tempera ture which may be due to both compression and dissipation. For many solids, under a certain range of impact pressures, a two-wave structure arises such that the first wave, called the elastic prescursor, travels with the speed of sound; and the second wave, called a plastic shock wave, travels at a slower speed. Shock-wave loading of solids is normally accomplished by either projectile impact, such as produced by guns or by explosives. The shock heating and compression of solids covers a wide range of temperatures and densities. For example, the temperature may be as high as a few electron volts (1 eV = 11,500 K) for very strong shocks and the densification may be as high as four times the normal density.