Statistical Mechanics of Nonequilibrium Processes

Statistical Mechanics of Nonequilibrium Processes PDF Author: Dmitriĭ Nikolaevich Zubarev
Publisher:
ISBN: 9783055017094
Category : Nonequilibrium plasmas
Languages : en
Pages : 0

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Statistical Mechanics of Nonequilibrium Processes

Statistical Mechanics of Nonequilibrium Processes PDF Author: Dmitriĭ Nikolaevich Zubarev
Publisher:
ISBN: 9783055017094
Category : Nonequilibrium plasmas
Languages : en
Pages : 0

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Book Description


Statistical Mechanics of Nonequilibrium Processes, Basic Concepts, Kinetic Theory

Statistical Mechanics of Nonequilibrium Processes, Basic Concepts, Kinetic Theory PDF Author: Dmitrii Zubarev
Publisher: Wiley-VCH
ISBN: 9783527400836
Category : Science
Languages : en
Pages : 0

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Book Description
This is the first part of a two-volume textbook on the modern statistical theory of nonequilibrium processes. In distinction to currently available textbooks and monographs on this subject, the presentation of a wide range of nonequilibrium phenomena in many-particle systems is based on the unified approach which is a natural extension of the method of Gibbs ensembles to the nonequilibrium case. The general method of nonequilibrium ensembles is applied to describe kinetic processes in classical and quantum systems. In addition to standard examples, topical problems of the modern kinetic theory are considered, including many-particle effects in classical kinetics, non-Markovian kinetic equations for plasmas, and quantum kinetic processes in the presence of strong external fields. Exercises and problems for readers are also included. The book is self-contained and accessible to students having read the standard course in statistical physics. It is also of interest for specialists working in solid state physics, chemical physics, and physics of plasma and fluids.

Statistical Thermodynamics of Nonequilibrium Processes

Statistical Thermodynamics of Nonequilibrium Processes PDF Author: Joel Keizer
Publisher: Springer Science & Business Media
ISBN: 1461210542
Category : Science
Languages : en
Pages : 517

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Book Description
The structure of the theory ofthermodynamics has changed enormously since its inception in the middle of the nineteenth century. Shortly after Thomson and Clausius enunciated their versions of the Second Law, Clausius, Maxwell, and Boltzmann began actively pursuing the molecular basis of thermo dynamics, work that culminated in the Boltzmann equation and the theory of transport processes in dilute gases. Much later, Onsager undertook the elucidation of the symmetry oftransport coefficients and, thereby, established himself as the father of the theory of nonequilibrium thermodynamics. Com bining the statistical ideas of Gibbs and Langevin with the phenomenological transport equations, Onsager and others went on to develop a consistent statistical theory of irreversible processes. The power of that theory is in its ability to relate measurable quantities, such as transport coefficients and thermodynamic derivatives, to the results of experimental measurements. As powerful as that theory is, it is linear and limited in validity to a neighborhood of equilibrium. In recent years it has been possible to extend the statistical theory of nonequilibrium processes to include nonlinear effects. The modern theory, as expounded in this book, is applicable to a wide variety of systems both close to and far from equilibrium. The theory is based on the notion of elementary molecular processes, which manifest themselves as random changes in the extensive variables characterizing a system. The theory has a hierarchical character and, thus, can be applied at various levels of molecular detail.

Statistical Thermodynamics and Kinetic Theory

Statistical Thermodynamics and Kinetic Theory PDF Author: Charles E. Hecht
Publisher: Courier Dover Publications
ISBN: 9780486404578
Category : Gaz, Théorie cinétique des
Languages : en
Pages : 0

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Book Description
Direct, accessible approach covers elementary statistical thermodynamics, statistical thermodynamics of interacting systems and solids, kinetic theory, and new concepts for treating equilibrium and nonequilibrium statistical processes. Many examples, end-of-chapter problems with solutions. Appendixes. 1990 edition.

Nonequilibrium Gas Dynamics and Molecular Simulation

Nonequilibrium Gas Dynamics and Molecular Simulation PDF Author: Iain D. Boyd
Publisher: Cambridge University Press
ISBN: 1107073448
Category : Science
Languages : en
Pages : 383

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Book Description
7.1 Introduction -- 7.2 Rotational Energy Exchange Models -- 7.2.1 Constant Collision Number -- 7.2.2 The Parker Model -- 7.2.3 Variable Probability Exchange Model of Boyd -- 7.2.4 Nonequilibrium Direction Dependent Model -- 7.2.5 Model Results -- 7.3 Vibrational Energy Exchange Models -- 7.3.1 Constant Collision Number -- 7.3.2 The Millikan-White Model -- 7.3.3 Quantized Treatment for Vibration -- 7.3.4 Model Results -- 7.4 Dissociation Chemical Reactions -- 7.4.1 Total Collision Energy Model -- 7.4.2 Redistribution of Energy Following a Dissociation Reaction -- 7.4.3 Vibrationally Favored Dissociation Model -- 7.5 General Chemical Reactions -- 7.5.1 Reaction Rates and Equilibrium Constant -- 7.5.2 Backward Reaction Rates in DSMC -- 7.5.3 Three-Body Recombination Reactions -- 7.5.4 Post-Reaction Energy Redistribution and General Implementation -- 7.5.5 DSMC Solutions for Reacting Flows -- 7.6 Summary -- Appendix A: Generating Particle Properties -- Appendix B: Collisional Quantities -- Appendix C: Determining Post-Collision Velocities -- Appendix D: Macroscopic Properties -- Appendix E: Common Integrals -- References -- Index

Non-Equilibrium Statistical Mechanics

Non-Equilibrium Statistical Mechanics PDF Author: Ilya Prigogine
Publisher: Courier Dover Publications
ISBN: 0486815552
Category : Science
Languages : en
Pages : 337

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Book Description
Groundbreaking monograph by Nobel Prize winner for researchers and graduate students covers Liouville equation, anharmonic solids, Brownian motion, weakly coupled gases, scattering theory and short-range forces, general kinetic equations, more. 1962 edition.

A Kinetic View of Statistical Physics

A Kinetic View of Statistical Physics PDF Author: Pavel L. Krapivsky
Publisher:
ISBN: 9780511909825
Category : Science
Languages : en
Pages : 506

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Book Description
Aimed at graduate students, this book explores some of the core phenomena in non-equilibrium statistical physics. It focuses on the development and application of theoretical methods to help students develop their problem-solving skills. The book begins with microscopic transport processes: diffusion, collision-driven phenomena, and exclusion. It then presents the kinetics of aggregation, fragmentation and adsorption, where the basic phenomenology and solution techniques are emphasized. The following chapters cover kinetic spin systems, both from a discrete and a continuum perspective, the role of disorder in non-equilibrium processes, hysteresis from the non-equilibrium perspective, the kinetics of chemical reactions, and the properties of complex networks. The book contains 200 exercises to test students' understanding of the subject. A link to a website hosted by the authors, containing supplementary material including solutions to some of the exercises, can be found at www.cambridge.org/9780521851039.

Nonequilibrium Statistical Mechanics in One Dimension

Nonequilibrium Statistical Mechanics in One Dimension PDF Author: Vladimir Privman
Publisher: Cambridge University Press
ISBN: 052155974X
Category : Science
Languages : en
Pages : 490

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Book Description
Self-contained and up-to-date guide to one-dimensional reactions, dynamics, diffusion and adsorption.

Statistical Theory of Heat

Statistical Theory of Heat PDF Author: Wilhelm Brenig
Publisher: Springer Science & Business Media
ISBN: 3642746853
Category : Science
Languages : en
Pages : 298

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Book Description
This text on the statistical theory of nonequilibrium phenomena grew out of lecture notes for courses on advanced statistical mechanics that were held more or less regularly at the Physics Department of the Technical University in Munich. My aim in these lectures was to incorporate various developments of many-body theory made during the last 20-30 years, in particular the correlation function approach, not just as an "extra" alongside the more "classical" results; I tried to use this approach as a unifying concept for the presentation of older as well as more recent results. I think that after so many excellent review articles and advanced treatments, correlation functions and memory kernels are as much a matter of course in nonequilibrium statistical physics as partition functions are in equilibrium theory, and should be used as such in regular courses and textbooks. The relations between correlation functions and earlier vehicles for the formulation of nonequilibrium theory such as kinetic equations, master equations, Onsager's theory, etc. , are discussed in detail in this volume. Since today there is growing interest in nonlinear phenomena I have included several chapters on related problems. There is some nonlinear response theory, some results on phenomenological nonlinear equations and some microscopic applications of the nonlinear response formalism. The main focus, however, is on the linear regime.

Nonequilibrium Statistical Physics

Nonequilibrium Statistical Physics PDF Author: Roberto Livi
Publisher: Cambridge University Press
ISBN: 1107049547
Category : Science
Languages : en
Pages : 439

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Book Description
A comprehensive and pedagogical text on nonequilibrium statistical physics, covering topics from random walks to pattern formation.