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Generalized Statistical Thermodynamics
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Book Synopsis Generalized Statistical Thermodynamics by : Themis Matsoukas
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 373 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.
Book Synopsis Generalised Thermostatistics by : Jan Naudts
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.
Book Synopsis An Introduction to Statistical Mechanics and Thermodynamics by : Robert H. Swendsen
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.
Book Synopsis Generalized Thermodynamics by : Laszlo Tisza
Download or read book Generalized Thermodynamics written by Laszlo Tisza and published by . This book was released on 1966 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-equilibrium Thermodynamics and Statistical Mechanics by : Phil Attard
Download or read book Non-equilibrium Thermodynamics and Statistical Mechanics written by Phil Attard and published by OUP Oxford. This book was released on 2012-10-04 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: `Non-equilibrium Thermodynamics and Statistical Mechanics: Foundations and Applications' 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. Uniquely, the book treats time-dependent systems by close analogy with their static counterparts, with most of the familiar results of equilibrium thermodynamics and statistical mechanics being generalized and applied to the non-equilibrium case. The book is notable for its unified treatment of thermodynamics, hydrodynamics, stochastic processes, and statistical mechanics, for its self-contained, coherent derivation of a variety of non-equilibrium theorems, and for its quantitative tests against experimental measurements and computer simulations. Systems that evolve in time are more common than static systems, and yet until recently they lacked any over-arching theory. 'Non-equilibrium Thermodynamics and Statistical Mechanics' is unique in its unified presentation of the theory of non-equilibrium systems, which has now reached the stage of quantitative experimental and computational verification. The novel perspective and deep understanding that this book brings offers the opportunity for new direction and growth in the study of time-dependent phenomena. 'Non-equilibrium Thermodynamics and Statistical Mechanics' is an invaluable reference manual for experts already working in the field. Research scientists from different disciplines will find the overview of time-dependent systems stimulating and thought-provoking. Lecturers in physics and chemistry will be excited by many fresh ideas and topics, insightful explanations, and new approaches. Graduate students will benefit from its lucid reasoning and its coherent approach, as well as from the chem12physof mathematical techniques, derivations, and computer algorithms.
Book Synopsis Introduction to Nonextensive Statistical Mechanics by : Constantino Tsallis
Download or read book Introduction to Nonextensive Statistical Mechanics written by Constantino Tsallis and published by Springer Nature. This book was released on 2023-01-30 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis An Introduction to Statistical Thermodynamics by : Terrell L. Hill
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 546 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.
Book Synopsis Statistical Physics by : Gregory H. Wannier
Download or read book Statistical Physics written by Gregory H. Wannier and published by Courier Corporation. This book was released on 1987-01-01 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic text combines thermodynamics, statistical mechanics, and kinetic theory in one unified presentation. Topics include equilibrium statistics of special systems, kinetic theory, transport coefficients, and fluctuations. Problems with solutions. 1966 edition.
Book Synopsis Predictive Statistical Mechanics by : Roberto Luzzi
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.
Book Synopsis Statistical Mechanics of Lattice Systems by : Sacha Friedli
Download or read book Statistical Mechanics of Lattice Systems written by Sacha Friedli and published by Cambridge University Press. This book was released on 2017-11-23 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Book Synopsis The Logic of Thermostatistical Physics by : Gerard G. Emch
Download or read book The Logic of Thermostatistical Physics written by Gerard G. Emch and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a thorough analysis of the role that models play in the practise of physical theory. The authors, a mathematical physicist and a philosopher of science, appeal to the logicians’ notion of model theory as well as to the concepts of physicists.
Book Synopsis Statistical Mechanics by : Ryogo Kubo
Download or read book Statistical Mechanics written by Ryogo Kubo and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Thermodynamics of Information Processing in Small Systems by : Takahiro Sagawa
Download or read book Thermodynamics of Information Processing in Small Systems written by Takahiro Sagawa and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents a general theory of nonequilibrium thermodynamics for information processing. Ever since Maxwell's demon was proposed in the nineteenth century, the relationship between thermodynamics and information has attracted much attention because it concerns the foundation of the second law of thermodynamics. From the modern point of view, Maxwell's demon is formulated as an information processing device that performs measurement and feedback at the level of thermal fluctuations. By unifying information theory, measurement theory, and the recently developed theory of nonequilibrium statistical mechanics, the author has constructed a theory of "information thermodynamics," in which information contents and thermodynamic variables are treated on an equal footing. In particular, the maximum work that can be extracted by the demon and the minimum work that is needed for measurement and information erasure by the demon has been determined. Additionally, generalizations of nonequilibrium relations such as a Jarzynski equality for classical stochastic systems in the presence of feedback control have been derived. One of the generalized equalities has recently been verified experimentally by using sub-micron colloidal particles. The results obtained serve as fundamental principles for information processing in small thermodynamic systems, and are applicable to nanomachines and nanodevices.
Book Synopsis Thermodynamics and Statistical Mechanics by : Robert J. Hardy
Download or read book Thermodynamics and Statistical Mechanics written by Robert J. Hardy and published by John Wiley & Sons. This book was released on 2014-06-23 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermodynamics and Statistical Mechanics Thermodynamics and Statistical Mechanics An Integrated Approach This textbook brings together the fundamentals of the macroscopic and microscopic aspects of thermal physics by presenting thermodynamics and statistical mechanics as complementary theories based on small numbers of postulates. The book is designed to give the instructor flexibility in structuring courses for advanced undergraduates and/or beginning graduate students and is written on the principle that a good text should also be a good reference. The presentation of thermodynamics follows the logic of Clausius and Kelvin while relating the concepts involved to familiar phenomena and the modern student’s knowledge of the atomic nature of matter. Another unique aspect of the book is the treatment of the mathematics involved. The essential mathematical concepts are briefly reviewed before using them, and the similarity of the mathematics to that employed in other fields of physics is emphasized. The text gives in-depth treatments of low-density gases, harmonic solids, magnetic and dielectric materials, phase transitions, and the concept of entropy. The microcanonical, canonical, and grand canonical ensembles of statistical mechanics are derived and used as the starting point for the analysis of fluctuations, blackbody radiation, the Maxwell distribution, Fermi-Dirac statistics, Bose-Einstein condensation, and the statistical basis of computer simulations.
Book Synopsis Statistical Mechanics for the Liquid State by : Jean-Louis Bretonnet
Download or read book Statistical Mechanics for the Liquid State written by Jean-Louis Bretonnet and published by Cambridge Scholars Publishing. This book was released on 2020-09-18 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a simple and accessible form, this book presents a unified approach to the physics of the liquid state, both in and out of equilibrium. It discerns, behind the seemingly anarchistic proliferation of phenomena observable in the liquid state, the sequence of causes and effects and, where appropriate, the underlying rules that preside over the general principles. The book begins by introducing the fundamental concepts of statistical mechanics, such as classical and quantum mechanics, probability theory, and the kinetic theory of gases, before moving on to discuss theoretical methods in order to contextualise the study of liquids. The last final section is devoted to ordering in complex fluids. It includes detailed technical notes and explicit calculations, and will appeal to graduate students in physics and chemistry. It will also be of interest the reader interested in statistical mechanics and their application to the physics of dense matter. This book will certainly become an indispensable reference for students and researchers who wish to become familiar with a multifaceted process looking towards new horizons.
Book Synopsis Statistical Mechanics in a Nutshell, Second Edition by : Luca Peliti
Download or read book Statistical Mechanics in a Nutshell, Second Edition written by Luca Peliti and published by Princeton University Press. This book was released on 2024-08-06 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to modern statistical mechanics—now completely updated and expanded Statistical mechanics is one of the most exciting areas of physics today and has applications to subjects ranging from economics and social behavior to algorithmic theory and evolutionary biology. Statistical Mechanics in a Nutshell provides a self-contained introduction to this rapidly developing field. Starting with the basics of kinetic theory and requiring only a background in elementary calculus and mechanics, this concise book discusses the most important developments of recent decades and guides readers to the very threshold of today’s cutting-edge research. Features a new chapter on stochastic thermodynamics with an introduction to the thermodynamics of information—the first treatment of its kind in an introductory textbook Offers a more detailed account of numerical simulations, including simulated annealing and other accelerated Monte Carlo methods The chapter on complex systems now features an accessible introduction to the replica theory of spin glasses and the Hopfield theory of neural networks, with an emphasis on applications Provides a new discussion of defect-mediated transitions and their implications for two-dimensional melting An invaluable resource for graduate students and advanced undergraduates seeking a compact primer on the core ideas of statistical mechanics Solutions manual (available only to instructors)
Book Synopsis Fundamentals of Chemical Engineering Thermodynamics by : Themis Matsoukas
Download or read book Fundamentals of Chemical Engineering Thermodynamics written by Themis Matsoukas and published by Pearson Education. This book was released on 2013 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Chemical Engineering Thermodynamics is the clearest and most well-organized introduction to thermodynamics theory and calculations for all chemical engineering undergraduates. This brand-new text makes thermodynamics far easier to teach and learn. Drawing on his award-winning courses at Penn State, Dr. Themis Matsoukas organizes the text for more effective learning, focuses on "why" as well as "how," offers imagery that helps students conceptualize the equations, and illuminates thermodynamics with relevant examples from within and beyond the chemical engineering discipline. Matsoukas presents solved problems in every chapter, ranging from basic calculations to realistic safety and environmental applications.
