High Temperature Classical Equation of State

High Temperature Classical Equation of State

Author: B. J. Alder

Publisher:

Published: 1958

Total Pages: 40

ISBN-13:

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A study is made of the effect of potential perturbations on the equilibrium properties of a hard sphere system at both high and low densities. The perturbation is evaluated beyond the first order term for the second and third virial coefficients to estimate the region of convergence. The results of the first order perturbation from the virial expansion, superposition theory and free volume theory are compared. A comparison with experimental data is made to show the applicability of this perturbation from a hard sphere potential to the estimation of the equilibrium properties of a great variety of gases at moderately high temperatures.


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.


Foundations of High-Energy-Density Physics

Foundations of High-Energy-Density Physics

Author: Jon Larsen

Publisher: Cambridge University Press

Published: 2017-03-10

Total Pages: 759

ISBN-13: 1107124115

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A valuable and complete resource that brings together many of the branches of physics needed in high-energy-density physics. Targeted at research scientists and graduate students in physics and astrophysics, this book begins with basic concepts and develops a detailed explanation of the physics of hydrodynamics and energy transport in plasma.


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.


The Second Law

The Second Law

Author: Henry A. Bent

Publisher: Oxford University Press, USA

Published: 1965

Total Pages: 452

ISBN-13: 9780195008289

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The Equation of State in Astrophysics

The Equation of State in Astrophysics

Author: G. CHABRIER (Ed)

Publisher: Cambridge University Press

Published: 1994-08-11

Total Pages: 644

ISBN-13: 9780521472609

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A unique review of our understanding of dense ionised matter in astrophysical contexts - essential reading for graduate students and researchers.


Thermodynamics And Equations Of State For Matter: From Ideal Gas To Quark-gluon Plasma

Thermodynamics And Equations Of State For Matter: From Ideal Gas To Quark-gluon Plasma

Author: Vladimr E Fortov

Publisher: World Scientific

Published: 2016-03-24

Total Pages: 569

ISBN-13: 9814749214

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The monograph presents a comparative analysis of different thermodynamic models of the equations of state. The basic ideological premises of the theoretical methods and the experiment are considered. The principal attention is on the description of states that are of greatest interest for the physics of high energy concentrations which are either already attained or can be reached in the near future in controlled terrestrial conditions, or are realized in astrophysical objects at different stages of their evolution. Ultra-extreme astrophysical and nuclear-physical applications are also analyzed where the thermodynamics of matter is affected substantially by relativism, high-power gravitational and magnetic fields, thermal radiation, transformation of nuclear particles, nucleon neutronization, and quark deconfinement. The book is intended for a wide range of specialists engaged in the study of the equations of state of matter and high energy density physics, as well as for senior students and postgraduates.


The equation of state of an ionized gas

The equation of state of an ionized gas

Author: Donald Paul Duclos

Publisher:

Published: 1961

Total Pages: 328

ISBN-13:

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The equation of state of an ionized gas has been investigated for electron densities below about 10(22 power) per cubic centimeter and temperatures below about 1,000,000 K. The gas is assumed to be monatomic, electrically neutral, and in thermodynamic equilibrium, but the composition of the gas is arbitrary, that is multiple ionization of any degree is allowed. The perfect gas approximation is found to be valid for electron densities at least as high as 10(16 power) per cubic centimeter, and in some cases, even higher. It is shown that approximations to the perfect gas expressions can be made which will greatly simplify calculations. It is also shown that blackbody radiation may be important at low densities. The classical corrections to the perfect gas expressions due to electrostatic forces and the finite size of particles which are obtained from the theories of Debye and Hucke, Mayer, and others, are investigated, and their limits of validity are determined. In some cases, improved expressions are derived and suitable approximations are suggested. It is noted that a fundamental weakness of the results based on the these theories is that a basic parameter, the distance of closest approach of charged particles, is not known accurately. Several approximate expressions for this distance are given. Quantum corrections for electron degeneracy and electron interactions are also given. Theories which are applicable at higher densities and temperatures than those of interest in this investigation are also discussed briefly. Finally, the equation of state of a dense, slightly ionized gas is derived.


Equation of State of Classical Systems of Charged Particles

Equation of State of Classical Systems of Charged Particles

Author:

Publisher:

Published: 1962

Total Pages:

ISBN-13:

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Recent developments in the classical theory of fully ionized gases and strong electrolyte solutions are reviewed, and are used to discuss the equation of state at high temperatures and low densities. The pressure is calculated using the ring-integral approximation, and quantitative estimates of higher correction terms are given. The effect of short range repulsive forces is shown by comparing the results with two kinds of potential functions hard spheres of diameter a, and soft'' spheres for which the short range potential cancels the Coulomb potential at the origin, and decreases exponentially with distance. It is found that the use of either type of potential extends the range of validity of the ring-integral approximation to considerably higher densities and lower temperatures. Since there is little difference in the results for the hard spheres and the soft spheres in this range, the latter system is investigated more extensively since it is more, easily handled by analytical methods. The expressions derived for the free energy of a system of charged particles can also be used in ionization equilibrium calculations, and the effect of electrostatic interactions on the equilibrium concentrations of various kinds of ions is indicated. 60 references. (auth).