Generalized Statistical Thermodynamics

Generalized Statistical Thermodynamics PDF

Author: Themis Matsoukas

Publisher: Springer

Published: 2019-05-08

Total Pages: 363

ISBN-13: 3030041492

DOWNLOAD EBOOK →

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.

General and Statistical Thermodynamics

General and Statistical Thermodynamics PDF

Author: Raza Tahir-Kheli

Publisher: Springer Nature

Published: 2021-01-11

Total Pages: 666

ISBN-13: 3030207005

DOWNLOAD EBOOK →

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.

Generalised Thermostatistics

Generalised Thermostatistics PDF

Author: Jan Naudts

Publisher: Springer Science & Business Media

Published: 2011-02-07

Total Pages: 209

ISBN-13: 0857293559

DOWNLOAD EBOOK →

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.

An Introduction to Statistical Thermodynamics

An Introduction to Statistical Thermodynamics PDF

Author: Terrell L. Hill

Publisher: Courier Corporation

Published: 2012-06-08

Total Pages: 544

ISBN-13: 0486130908

DOWNLOAD EBOOK →

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.

Non-equilibrium Thermodynamics and Statistical Mechanics

Non-equilibrium Thermodynamics and Statistical Mechanics PDF

Author: Phil Attard

Publisher: Oxford University Press

Published: 2012-10-04

Total Pages: 479

ISBN-13: 0199662762

DOWNLOAD EBOOK →

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--

Statistical Thermodynamics of Nonequilibrium Processes

Statistical Thermodynamics of Nonequilibrium Processes PDF

Author: Joel Keizer

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 517

ISBN-13: 1461210542

DOWNLOAD EBOOK →

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.

Treatise on Irreversible and Statistical Thermodynamics

Treatise on Irreversible and Statistical Thermodynamics PDF

Author: Wolfgang Yourgrau

Publisher: Courier Corporation

Published: 2013-02-20

Total Pages: 292

ISBN-13: 0486151093

DOWNLOAD EBOOK →

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.

A Course In Statistical Thermodynamics

A Course In Statistical Thermodynamics PDF

Author: Joseph Kestin

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 596

ISBN-13: 0323144934

DOWNLOAD EBOOK →

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.

An Introduction to Statistical Mechanics and Thermodynamics

An Introduction to Statistical Mechanics and Thermodynamics PDF

Author: Robert H. Swendsen

Publisher: Oxford University Press

Published: 2012-03

Total Pages: 422

ISBN-13: 0199646945

DOWNLOAD EBOOK →

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.

Predictive Statistical Mechanics

Predictive Statistical Mechanics PDF

Author: Roberto Luzzi

Publisher: Springer Science & Business Media

Published: 2002-02-28

Total Pages: 352

ISBN-13: 9781402004827

DOWNLOAD EBOOK →

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.