Generalized Statistical Thermodynamics

Author : Themis Matsoukas
Publisher : Springer
ISBN 13 : 3030041492
Total Pages : 363 pages
Book Rating : 4.96/5 ( download)

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Download or read book Generalized Statistical Thermodynamics written by Themis Matsoukas and published by Springer. This book was released on 2019-05-08 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives the definitive mathematical answer to what thermodynamics really is: a variational calculus applied to probability distributions. Extending Gibbs's notion of ensemble, the Author imagines the ensemble of all possible probability distributions and assigns probabilities to them by selection rules that are fairly general. The calculus of the most probable distribution in the ensemble produces the entire network of mathematical relationships we recognize as thermodynamics. The first part of the book develops the theory for discrete and continuous distributions while the second part applies this thermodynamic calculus to problems in population balance theory and shows how the emergence of a giant component in aggregation, and the shattering transition in fragmentation may be treated as formal phase transitions. While the book is intended as a research monograph, the material is self-contained and the style sufficiently tutorial to be accessible for self-paced study by an advanced graduate student in such fields as physics, chemistry, and engineering.

Author : Raza Tahir-Kheli
Publisher : Springer Nature
ISBN 13 : 3030207005
Total Pages : 666 pages
Book Rating : 4.07/5 ( download)

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Download or read book General and Statistical Thermodynamics written by Raza Tahir-Kheli and published by Springer Nature. This book was released on 2021-01-11 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides comprehensive information on general and statistical thermodynamics. It begins with an introductory statistical mechanics course, deriving all the important formulae meticulously and explicitly, without mathematical shortcuts. In turn, the main part of the book focuses on in-depth discussions of the concepts and laws of thermodynamics, van der Waals, Kelvin and Claudius theories, ideal and real gases, thermodynamic potentials, phonons and all related aspects. To elucidate the concepts introduced and to provide practical problem-solving support, numerous carefully worked-out examples are included. The text is clearly written and punctuated with a number of interesting anecdotes. The book also provides alternative solutions to problems and second equivalent explanations of important physical concepts. This second edition has been expanded to cover the foundations of superconductivity with new chapters on Cooper pairs, the Bogoliubov transformation, and superconductivity. It is suitable as a main thermodynamics textbook for upper-undergraduate students and provides extensive coverage, allowing instructors to ‘pick and choose’ the elements that best match their class profile.

Author : Jan Naudts
Publisher : Springer Science & Business Media
ISBN 13 : 0857293559
Total Pages : 209 pages
Book Rating : 4.58/5 ( download)

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Download or read book Generalised Thermostatistics written by Jan Naudts and published by Springer Science & Business Media. This book was released on 2011-02-07 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: The domain of non-extensive thermostatistics has been subject to intensive research over the past twenty years and has matured significantly. Generalised Thermostatistics cuts through the traditionalism of many statistical physics texts by offering a fresh perspective and seeking to remove elements of doubt and confusion surrounding the area. The book is divided into two parts - the first covering topics from conventional statistical physics, whilst adopting the perspective that statistical physics is statistics applied to physics. The second developing the formalism of non-extensive thermostatistics, of which the central role is played by the notion of a deformed exponential family of probability distributions. Presented in a clear, consistent, and deductive manner, the book focuses on theory, part of which is developed by the author himself, but also provides a number of references towards application-based texts. Written by a leading contributor in the field, this book will provide a useful tool for learning about recent developments in generalized versions of statistical mechanics and thermodynamics, especially with respect to self-study. Written for researchers in theoretical physics, mathematics and statistical mechanics, as well as graduates of physics, mathematics or engineering. A prerequisite knowledge of elementary notions of statistical physics and a substantial mathematical background are required.

Author : Terrell L. Hill
Publisher : Courier Corporation
ISBN 13 : 0486130908
Total Pages : 544 pages
Book Rating : 4.03/5 ( download)

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Download or read book An Introduction to Statistical Thermodynamics written by Terrell L. Hill and published by Courier Corporation. This book was released on 2012-06-08 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Four-part treatment covers principles of quantum statistical mechanics, systems composed of independent molecules or other independent subsystems, and systems of interacting molecules, concluding with a consideration of quantum statistics.

Author : Phil Attard
Publisher : Oxford University Press
ISBN 13 : 0199662762
Total Pages : 479 pages
Book Rating : 4.60/5 ( download)

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Download or read book Non-equilibrium Thermodynamics and Statistical Mechanics written by Phil Attard and published by Oxford University Press. This book was released on 2012-10-04 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title builds from basic principles to advanced techniques, and covers the major phenomena, methods, and results of time-dependent systems. It is a pedagogic introduction, a comprehensive reference manual, and an original research monograph--

Author : Joel Keizer
Publisher : Springer Science & Business Media
ISBN 13 : 1461210542
Total Pages : 517 pages
Book Rating : 4.42/5 ( download)

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Download or read book Statistical Thermodynamics of Nonequilibrium Processes written by Joel Keizer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Wolfgang Yourgrau
Publisher : Courier Corporation
ISBN 13 : 0486151093
Total Pages : 292 pages
Book Rating : 4.90/5 ( download)

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Download or read book Treatise on Irreversible and Statistical Thermodynamics written by Wolfgang Yourgrau and published by Courier Corporation. This book was released on 2013-02-20 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensively revised edition of a much-respected work examines thermodynamics of irreversible processes, general principles of statistical thermodynamics, assemblies of noninteracting structureless particles, and statistical theory. 1966 edition.

Author : Robert H. Swendsen
Publisher : Oxford University Press
ISBN 13 : 0199646945
Total Pages : 422 pages
Book Rating : 4.44/5 ( download)

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Download or read book An Introduction to Statistical Mechanics and Thermodynamics written by Robert H. Swendsen and published by Oxford University Press. This book was released on 2012-03 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents statistical mechanics and thermodynamics as a theoretically integrated field of study. It stresses deep coverage of fundamentals, providing a natural foundation for advanced topics. The large problem sets (with solutions for teachers) include many computational problems to advance student understanding.

Author : Joseph Kestin
Publisher : Elsevier
ISBN 13 : 0323144934
Total Pages : 596 pages
Book Rating : 4.33/5 ( download)

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Download or read book A Course In Statistical Thermodynamics written by Joseph Kestin and published by Elsevier. This book was released on 2012-12-02 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Statistical Thermodynamics explores the physical aspects of the methodology of statistical thermodynamics without the use of advanced mathematical methods. This book is divided into 14 chapters that focus on a correct statement of the Gibbsian ensemble theory couched in quantum-mechanical terms throughout. The introductory chapters emphasize the concept of equilibrium, phase space, the principle of their quantization, and the fundamentals of quantum mechanics and spectroscopy. These topics are followed by an exposition of the statistical method, revealing that the structure of the physical theory is closely modeled on mathematical statistics. A chapter focuses on stationary ensembles and the restatement of the First, Second, and Third Law of Thermodynamics. The remaining chapters highlight the various specialized applications of statistical thermodynamics, including real and degenerate gases, simple solids, radiation, magnetic systems, nonequilibrium states, and fluctuations. These chapters also provide a rigorous derivation of Boltzmann's equation, the H-theorem, and the vexing paradox that arises when microscopic reversibility must be reconciled with irreversible behavior in the large. This book can be used for two semesters in the junior or senior years, or as a first-year graduate course in statistical thermodynamics.

Author : Roberto Luzzi
Publisher : Springer Science & Business Media
ISBN 13 : 9781402004827
Total Pages : 352 pages
Book Rating : 4.26/5 ( download)

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Download or read book Predictive Statistical Mechanics written by Roberto Luzzi and published by Springer Science & Business Media. This book was released on 2002-02-28 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chapters 1 to 5 include a description of the philosophy, foundations, and construction (methodology) of the formalism, including the derivation of a nonequilibrium grand-canonical ensemble for far-from-equilibrium systems as well as the derivation of a quantum nonlinear kinetic theory and a response function theory together with a theory of scattering. In chapter 6 applications of the theory are cataloged, making comparisons with experimental data (a basic step for the validation of any theory). Chapter 7 is devoted to the description of irreversible thermodynamics, providing a far-reaching generalization of Informational-Statistical Thermodynamics. The last chapter gives an overall picture of the formalism, and questions and criticisms related to it are discussed.