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The Statistical Mechanics Of Lattice Gases Volume I
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Book Synopsis The Statistical Mechanics of Lattice Gases, Volume I by : Barry Simon
Download or read book The Statistical Mechanics of Lattice Gases, Volume I written by Barry Simon and published by Princeton University Press. This book was released on 2014-07-14 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: A state-of-the-art survey of both classical and quantum lattice gas models, this two-volume work will cover the rigorous mathematical studies of such models as the Ising and Heisenberg, an area in which scientists have made enormous strides during the past twenty-five years. This first volume addresses, among many topics, the mathematical background on convexity and Choquet theory, and presents an exhaustive study of the pressure including the Onsager solution of the two-dimensional Ising model, a study of the general theory of states in classical and quantum spin systems, and a study of high and low temperature expansions. The second volume will deal with the Peierls construction, infrared bounds, Lee-Yang theorems, and correlation inequality. This comprehensive work will be a useful reference not only to scientists working in mathematical statistical mechanics but also to those in related disciplines such as probability theory, chemical physics, and quantum field theory. It can also serve as a textbook for advanced graduate students. Originally published in 1993. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis The Statistical Mechanics of Lattice Gases by : Barry Simon
Download or read book The Statistical Mechanics of Lattice Gases written by Barry Simon and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Convexity in the Theory of Lattice Gases by : Robert B. Israel
Download or read book Convexity in the Theory of Lattice Gases written by Robert B. Israel and published by Princeton University Press. This book was released on 2015-03-08 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Robert Israel considers classical and quantum lattice systems in terms of equilibrium statistical mechanics. He is especially concerned with the characterization of translation-invariant equilibrium states by a variational principle and the use of convexity in studying these states. Arthur Wightman's Introduction gives a general and historical perspective on convexity in statistical mechanics and thermodynamics. Professor Israel then reviews the general framework of the theory of lattice gases. In addition to presenting new and more direct proofs of some known results, he uses a version of a theorem by Bishop and Phelps to obtain existence results for phase transitions. Furthermore, he shows how the Gibbs Phase Rule and the existence of a wide variety of phase transitions follow from the general framework and the theory of convex functions. While the behavior of some of these phase transitions is very "pathological," others exhibit more "reasonable" behavior. As an example, the author considers the isotropic Heisenberg model. Formulating a version of the Gibbs Phase Rule using Hausdorff dimension, he shows that the finite dimensional subspaces satisfying this phase rule are generic. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Book Synopsis Statistical Mechanics by : R.K. Pathria
Download or read book Statistical Mechanics written by R.K. Pathria and published by Elsevier. This book was released on 2017-02-21 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Mechanics discusses the fundamental concepts involved in understanding the physical properties of matter in bulk on the basis of the dynamical behavior of its microscopic constituents. The book emphasizes the equilibrium states of physical systems. The text first details the statistical basis of thermodynamics, and then proceeds to discussing the elements of ensemble theory. The next two chapters cover the canonical and grand canonical ensemble. Chapter 5 deals with the formulation of quantum statistics, while Chapter 6 talks about the theory of simple gases. Chapters 7 and 8 examine the ideal Bose and Fermi systems. In the next three chapters, the book covers the statistical mechanics of interacting systems, which includes the method of cluster expansions, pseudopotentials, and quantized fields. Chapter 12 discusses the theory of phase transitions, while Chapter 13 discusses fluctuations. The book will be of great use to researchers and practitioners from wide array of disciplines, such as physics, chemistry, and engineering.
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 Lattice-Gas Cellular Automata by : Daniel H. Rothman
Download or read book Lattice-Gas Cellular Automata written by Daniel H. Rothman and published by Cambridge University Press. This book was released on 1997-08-28 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases.
Book Synopsis Statistical Mechanics of Lattice Systems by : David Lavis
Download or read book Statistical Mechanics of Lattice Systems written by David Lavis and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work provides a comprehensive study of the statistical mechanics of lattice models. It introduces readers to the main topics and the theory of phase transitions, building on a firm mathematical and physical basis. Volume 1 contains an account of mean-field and cluster variation methods successfully used in many applications in solid-state physics and theoretical chemistry, as well as an account of exact results for the Ising and six-vertex models and those derivable by transformation methods.
Book Synopsis Statistical Mechanics by : Teunis C Dorlas
Download or read book Statistical Mechanics written by Teunis C Dorlas and published by CRC Press. This book was released on 2021-04-15 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Mechanics: Fundamentals and Model Solutions, Second Edition Fully updated throughout and with new chapters on the Mayer expansion for classical gases and on cluster expansion for lattice models, this new edition of Statistical Mechanics: Fundamentals and Model Solutions provides a comprehensive introduction to equilibrium statistical mechanics for advanced undergraduate and graduate students of mathematics and physics. The author presents a fresh approach to the subject, setting out the basic assumptions clearly and emphasizing the importance of the thermodynamic limit and the role of convexity. With problems and solutions, the book clearly explains the role of models for physical systems, and discusses and solves various models. An understanding of these models is of increasing importance as they have proved to have applications in many areas of mathematics and physics. Features Updated throughout with new content from the field An established and well-loved textbook Contains new problems and solutions for further learning opportunity Author Professor Teunis C. Dorlas is at the Dublin Institute for Advanced Studies, Ireland.
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 The Statistical Mechanics of Lattice Gases by : Barry Simon
Download or read book The Statistical Mechanics of Lattice Gases written by Barry Simon and published by . This book was released on 1993-01-01 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: A state-of-the-art survey of both classical and quantum lattice gas models, this two-volume work will cover the rigorous mathematical studies of such models as the Ising and Heisenberg, an area in which scientists have made enormous strides during the past twenty-five years. This first volume addresses, among many topics, the mathematical background on convexity and Choquet theory, and presents an exhaustive study of the pressure including the Onsager solution of the two-dimensional Ising model, a study of the general theory of states in classical and quantum spin systems, and a study of high and low temperature expansions. The second volume will deal with the Peierls construction, infrared bounds, Lee-Yang theorems, and correlation inequality. This comprehensive work will be a useful reference not only to scientists working in mathematical statistical mechanics but also to those in related disciplines such as probability theory, chemical physics, and quantum field theory. It can also serve as a textbook for advanced graduate students.
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 Lattice Gas Hydrodynamics by : J.-P. Rivet
Download or read book Lattice Gas Hydrodynamics written by J.-P. Rivet and published by Cambridge University Press. This book was released on 2005-09-15 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice gas hydrodynamics describes the approach to fluid dynamics using a micro-world constructed as an automaton universe, where the microscopic dynamics is based not on a description of interacting particles, but on the laws of symmetry and invariance of macroscopic physics. We imagine point-like particles residing on a regular lattice, where they move from node to node and undergo collisions when their trajectories meet. If the collisions occur according to some simple logical rules, and if the lattice has the proper symmetry, then the automaton shows global behavior very similar to that of real fluids. This book carries two important messages. First, it shows how an automaton universe with simple microscopic dynamics--the lattice gas--can exhibit macroscopic behavior in accordance with the phenomenological laws of classical physics. Second, it demonstrates that lattice gases have spontaneous microscopic fluctuations that capture the essentials of actual fluctuations in real fluids.
Book Synopsis An Introduction to Chaos in Nonequilibrium Statistical Mechanics by : J. R. Dorfman
Download or read book An Introduction to Chaos in Nonequilibrium Statistical Mechanics written by J. R. Dorfman and published by Cambridge University Press. This book was released on 1999-08-28 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to applications and techniques in non-equilibrium statistical mechanics of chaotic dynamics.
Book Synopsis Statistical Mechanics of Disordered Systems by : Anton Bovier
Download or read book Statistical Mechanics of Disordered Systems written by Anton Bovier and published by Cambridge University Press. This book was released on 2006-06-08 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Statistical Mechanics for Chemistry and Materials Science by : Biman Bagchi
Download or read book Statistical Mechanics for Chemistry and Materials Science written by Biman Bagchi and published by CRC Press. This book was released on 2018-07-06 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the broad subject of equilibrium statistical mechanics along with many advanced and modern topics such as nucleation, spinodal decomposition, inherent structures of liquids and liquid crystals. Unlike other books on the market, this comprehensive text not only deals with the primary fundamental ideas of statistical mechanics but also covers contemporary topics in this broad and rapidly developing area of chemistry and materials science.
Download or read book Statistical Physics written by A. Isihara and published by Academic Press. This book was released on 2013-09-11 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Physics provides an introduction to the basic principles of statistical mechanics. Statistical mechanics is one of the fundamental branches of theoretical physics and chemistry, and deals with many systems such as gases, liquids, solids, and even molecules which have many atoms. The book consists of three parts. Part I gives the principles, with elementary applications to noninteracting systems. It begins with kinetic theory and discusses classical and quantum systems in equilibrium and nonequilibrium. In Part II, classical statistical mechanics is developed for interacting systems in equilibrium and nonequilibrium. Finally, in Part III, quantum statistics is presented to an extent which enables the reader to proceed to advanced many-body theories. This book is written for a one-year graduate course in statistical mechanics or a half-year course followed by a half-year course on related subjects, such as special topics and applications or elementary many-body theories. Efforts are made such that discussions of each subject start with an elementary level and end at an advanced level.