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Author: Radu Balescu
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 510
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Book Description
Author: Radu Balescu
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 510
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Book Description
Author: Radu Balescu
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 542
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Book Description
Author: Bruce Berne
Publisher: Springer Science & Business Media
ISBN: 1468425536
Category : Science
Languages : en
Pages : 253
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Book Description
The last decade has been marked by a rapid growth in statistical mechanics, especially in connection with the physics and chemistry of the fluid state. Our understanding in these areas has been considerably advanced and enriched by the discovery of new techniques and the sharpening of old techniques, ranging all the way from computer simulation to mode-mode coupling theories. Statistical mechanics brings together under one roof a broad spectrum of mathematical techniques. The aim of these volumes is to provide a didactic treatment of those techniques that are most useful for the study of problems of current interest to theoretical chemists. The emphasis throughout is on the techniques themselves and not on reviewing the enormous literature in statistical mechanics. Each author was charged with the following task. Given N pages, (a) pose the problem, (b) present those aspects of the particular technique that clearly illustrate its internal workings, (c) apply the technique to the solution of several illustrative examples, and (d) write the chapter so that it will enable the reader to approach key citations to the literature intelligently. These volumes are designed for graduate students and research workers in statistical mechanics. Nevertheless, because of the range of techniques and their general utility, they should be useful in other areas as well.
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 744
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Book Description
Author: R.K. Pathria
Publisher: Elsevier
ISBN: 1483186881
Category : Science
Languages : en
Pages : 542
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Book Description
Statistical Mechanics discusses the fundamental concepts involved in understanding the physical properties of matter in bulk on the basis of the dynamical behavior of its microscopic constituents. The book emphasizes the equilibrium states of physical systems. The text first details the statistical basis of thermodynamics, and then proceeds to discussing the elements of ensemble theory. The next two chapters cover the canonical and grand canonical ensemble. Chapter 5 deals with the formulation of quantum statistics, while Chapter 6 talks about the theory of simple gases. Chapters 7 and 8 examine the ideal Bose and Fermi systems. In the next three chapters, the book covers the statistical mechanics of interacting systems, which includes the method of cluster expansions, pseudopotentials, and quantized fields. Chapter 12 discusses the theory of phase transitions, while Chapter 13 discusses fluctuations. The book will be of great use to researchers and practitioners from wide array of disciplines, such as physics, chemistry, and engineering.
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1004
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Author: Avijit Lahiri
Publisher: Avijit Lahiri
ISBN:
Category : Science
Languages : en
Pages : 1623
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Book Description
Equilibrium and Non-equilibrium Statistical Mechanics is a source-book of great value to college and university students embarking upon a serious reading of Statistical Mechanics, and is likely to be of interest to teachers of the subject as well. Written in a lucid style, the book builds up the subject from basics, and goes on to quite advanced and modern developments, giving an overview of the entire framework of statistical mechanics. The equilibrium ensembles of quantum and classical statistical mechanics are introduced at length, indicating their relation to equilibrium states of thermodynamic systems, and the applications of these ensembles in the case of the ideal gas are worked out, pointing out the relevance of the ideal gas in respect of a number of real-life systems. The application to interacting systems is then taken up by way of explaining the virial expansion of a dilute gas. The book then deals with a number of foundational questions relating to the existence of the thermodynamic limit and to the equivalence of the various equilibrium ensembles. The relevance of the thermodynamic limit in explaining phase transitions is indicated with reference to the Yang-Lee theory and the Kirkwood-Salsburg equations for correlation functions. The statistical mechanics of interacting systems is then taken up again, with reference to the 1D and 2D Ising model and to the spin glass model of disordered systems. Applications of the Mean field theory are worked out, explaining the Landau-Ginzburg theory, which is then followed by the renormalization group approach to phase transitions. Interacting systems in the quantum context are referred to, addressing separately the cases of interacting bosons and fermions. The case of the weakly interacting bosons is explained in details, while the Landau theory for fermi liquids is also explained in outline. The book then goes on to a modern but readable account of non-equilibrium statistical mechanics, explaining the link with irreversible thermodynamcs. After an exposition of the Boltzmann equations and the linear response theory illustrated with reference to the hydrodynamic model, it explains the statistical mechanics of reduced systems, in the context of a number of reduction schemes. This is followed by an account of the relevance of dynamical chaos in laying down the foundations of classical statistical mechanics, where the SRB distributon is introduced in the context of non-equilibrium steady states, with reference to which the principle of minimum entropy production is explaned. A number of basic fluctuation relations are then worked out, pointing out their relation to irreversible thermodynamics. Finally, the book explains the relevance of quantum chaos in addressing foundational issues in quantum statistical mechanics, beginning with Berry’s conjecture and then going on to an exposition of the eigenstate thermalization (ETH) hypothesis, indicating how the latter is relevant in explaining the processes of equilibriation and thermalization in thermodynamic systems and their sub-systems.
Author: Carl A. Rouse
Publisher: Elsevier
ISBN: 1483186040
Category : Science
Languages : en
Pages : 251
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Book Description
Progress in High Temperature Physics and Chemistry, Volume 1 is a collection of various theoretical, experimental, and technological aspects of high temperature phenomena. The volume presents broad scientific disciplines such as equilibrium and nonequilibrium thermodynamics; ionization and excitation phenomena; radiation and other transport phenomena; structure and properties of matter; sources and measurement (or determination) of high temperatures; chemical physics; gas dynamics; shock wave phenomena in solids, liquids, and gases producing high temperatures with associated physical and chemical changes; exploding wires and exploding foils; peaceful applications of nuclear energy; and astrophysics. Thermophysics and thermochemistry are briefly described as well. Physicists, chemists, worker, and researchers in the field of high temperature physics and chemistry will find the book very useful.
Author: Ronald C Davidson
Publisher: World Scientific
ISBN: 1911298186
Category : Science
Languages : en
Pages : 603
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Book Description
Physics of Intense Charged Particle Beams in High Energy Accelerators is a graduate-level text — complete with 75 assigned problems — which covers a broad range of topics related to the fundamental properties of collective processes and nonlinear dynamics of intense charged particle beams in periodic focusing accelerators and transport systems. The subject matter is treated systematically from first principles, using a unified theoretical approach, and the emphasis is on the development of basic concepts that illustrate the underlying physical processes in circumstances where intense self fields play a major role in determining the evolution of the system. The theoretical analysis includes the full influence of dc space charge and intense self-field effects on detailed equilibrium, stability and transport properties, and is valid over a wide range of system parameters ranging from moderate-intensity, moderate-emittance beams to very-high-intensity, low-emittance beams. This is particularly important at the high beam intensities envisioned for present and next generation accelerators, colliders and transport systems for high energy and nuclear physics applications and for heavy ion fusion. The statistical models used to describe the properties of intense charged particle beams are based on the Vlasov-Maxwell equations, the macroscopic fluid-Maxwell equations, or the Klimontovich-Maxwell equations, as appropriate, and extensive use is made of theoretical techniques developed in the description of one-component nonneutral plasmas, and multispecies electrically-neutral plasmas, as well as established techniques in accelerator physics, classical mechanics, electrodynamics and statistical physics.Physics of Intense Charged Particle Beams in High Energy Accelerators emphasizes basic physics principles, and the thorough presentation style is intended to have a lasting appeal to graduate students and researchers alike. Because of the advanced theoretical techniques developed for describing one-component charged particle systems, a useful companion volume to this book is Physics of Nonneutral Plasmas by Ronald C Davidson./a
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 848
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Book Description
