Generalized Statistical Thermodynamics

Author : Themis Matsoukas
Publisher : Springer
Page : 363 pages
File Size : 54,7 Mb
Release : 2019-05-08
Category : Science
ISBN : 9783030041496

Get Book

Generalized Statistical Thermodynamics by Themis Matsoukas Pdf

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
Page : 666 pages
File Size : 46,8 Mb
Release : 2021-01-11
Category : Science
ISBN : 9783030207007

Get Book

General and Statistical Thermodynamics by Raza Tahir-Kheli Pdf

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
Page : 209 pages
File Size : 49,6 Mb
Release : 2011-02-07
Category : Mathematics
ISBN : 9780857293558

Get Book

Generalised Thermostatistics by Jan Naudts Pdf

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 : Joseph Kestin
Publisher : Elsevier
Page : 596 pages
File Size : 53,7 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780323144933

Get Book

A Course In Statistical Thermodynamics by Joseph Kestin Pdf

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 : Wolfgang Yourgrau,Alwyn van der Merwe,Gough Raw
Publisher : Courier Corporation
Page : 292 pages
File Size : 46,8 Mb
Release : 2013-02-20
Category : Science
ISBN : 9780486151090

Get Book

Treatise on Irreversible and Statistical Thermodynamics by Wolfgang Yourgrau,Alwyn van der Merwe,Gough Raw Pdf

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 : Terrell L. Hill
Publisher : Courier Corporation
Page : 544 pages
File Size : 41,8 Mb
Release : 2012-06-08
Category : Science
ISBN : 9780486130903

Get Book

An Introduction to Statistical Thermodynamics by Terrell L. Hill Pdf

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 : Joel Keizer
Publisher : Springer Science & Business Media
Page : 517 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461210542

Get Book

Statistical Thermodynamics of Nonequilibrium Processes by Joel Keizer Pdf

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 : Constantino Tsallis
Publisher : Springer Nature
Page : 575 pages
File Size : 45,9 Mb
Release : 2023-01-30
Category : Science
ISBN : 9783030795696

Get Book

Introduction to Nonextensive Statistical Mechanics by Constantino Tsallis Pdf

This book focuses on nonextensive statistical mechanics, a current generalization of Boltzmann-Gibbs (BG) statistical mechanics. Conceived nearly 150 years ago by Maxwell, Boltzmann and Gibbs, the BG theory, one of the greatest monuments of contemporary physics, exhibits many impressive successes in physics, chemistry, mathematics, and computational sciences. Presently, several thousands of publications by scientists around the world have been dedicated to its nonextensive generalization. A variety of applications have emerged in complex systems and its mathematical grounding is by now well advanced. Since the first edition release thirteen years ago, there has been a vast amount of new results in the field, all of which have been incorporated in this comprehensive second edition. Heavily revised and updated with new sections and figures, the second edition remains the go-to text on the subject. A pedagogical introduction to the BG theory concepts and their generalizations – nonlinear dynamics, extensivity of the nonadditive entropy, global correlations, generalization of the standard CLT’s, complex networks, among others – is presented in this book, as well as a selection of paradigmatic applications in various sciences together with diversified experimental verifications of some of its predictions. Introduction to Nonextensive Statistical Mechanics is suitable for students and researchers with an interest in complex systems and statistical physics.

Author : Robert P H Gasser,W Graham Richards
Publisher : World Scientific Publishing Company
Page : 192 pages
File Size : 54,7 Mb
Release : 1995-09-26
Category : Science
ISBN : 9789813103139

Get Book

An Introduction to Statistical Thermodynamics by Robert P H Gasser,W Graham Richards Pdf

Statistical thermodynamics plays a vital linking role between quantum theory and chemical thermodynamics, yet students often find the subject unpalatable. In this updated version of a popular text, the authors overcome this by emphasising the concepts involved, in particular demystifying the partition function. They do not get bogged down in the mathematical niceties that are essential for a profound study of the subject but which can confuse the beginner. Strong emphasis is placed on the physical basis of statistical thermodynamics and the relations with experiment. After a clear exposition of the distribution laws, partition functions, heat capacities, chemical equilibria and kinetics, the subject is further illuminated by a discussion of low-temperature phenomena and spectroscopy. The coverage is brought right up to date with a chapter on computer simulation and a final section which ranges beyond the narrow limits usually associated with student texts to emphasise the common dependence of macroscopic behaviour on the properties of constituent atoms and molecules. Since first published in 1974 as ‘Entropy and Energy Levels’, the book has been very popular with students. This revised and updated version will no doubt serve the same needs.

Author : R.H. Fowler
Publisher : CUP Archive
Page : 724 pages
File Size : 50,6 Mb
Release : 1939
Category : Electronic
ISBN : 8210379456XXX

Get Book

Statistical Thermodynamics by R.H. Fowler Pdf

Author : John Francis Lee,Francis Weston Sears,Donald Lawson Turcotte
Publisher : Unknown
Page : 392 pages
File Size : 52,8 Mb
Release : 1973
Category : Science
ISBN : UOM:39015017229868

Get Book

Statistical Thermodynamics by John Francis Lee,Francis Weston Sears,Donald Lawson Turcotte Pdf

Author : Roberto Luzzi,Áurea R. Vasconcellos,J. Galvão Ramos
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 40,7 Mb
Release : 2002-02-28
Category : Body, Mind & Spirit
ISBN : 1402004826

Get Book

Predictive Statistical Mechanics by Roberto Luzzi,Áurea R. Vasconcellos,J. Galvão Ramos Pdf

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.

Author : Arieh Ben-Naim
Publisher : World Scientific
Page : 411 pages
File Size : 41,9 Mb
Release : 2008
Category : Science
ISBN : 9789812707062

Get Book

A Farewell to Entropy by Arieh Ben-Naim Pdf

The principal message of this book is that thermodynamics and statistical mechanics will benefit from replacing the unfortunate, misleading and mysterious term ?entropy? with a more familiar, meaningful and appropriate term such as information, missing information or uncertainty. This replacement would facilitate the interpretation of the ?driving force? of many processes in terms of informational changes and dispel the mystery that has always enshrouded entropy.It has been 140 years since Clausius coined the term ?entropy?; almost 50 years since Shannon developed the mathematical theory of ?information? ? subsequently renamed ?entropy.? In this book, the author advocates replacing ?entropy? by ?information,? a term that has become widely used in many branches of science.The author also takes a new and bold approach to thermodynamics and statistical mechanics. Information is used not only as a tool for predicting distributions but as the fundamental cornerstone concept of thermodynamics, held until now by the term ?entropy.? The topics covered include the fundamentals of probability and information theory; the general concept of information as well as the particular concept of information as applied in thermodynamics; the re-derivation of the Sackur?Tetrode equation for the entropy of an ideal gas from purely informational arguments; the fundamental formalism of statistical mechanics; and many examples of simple processes the ?driving force? for which is analyzed in terms of information.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9789814338288

Get Book

A Farewell to Entropy by Anonim Pdf

Author : Donald Allan McQuarrie
Publisher : Unknown
Page : 364 pages
File Size : 52,6 Mb
Release : 1973
Category : Science
ISBN : UOM:39015016106943

Get Book

Statistical Thermodynamics by Donald Allan McQuarrie Pdf