The Statistical Mechanics Of Lattice Gases Volume I PDF Download
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Author | : Barry Simon |
Publisher | : Princeton University Press |
Total Pages | : 534 |
Release | : 2014-07-14 |
Genre | : Science |
ISBN | : 1400863430 |
Download The Statistical Mechanics of Lattice Gases, Volume I Book in PDF, ePub and Kindle
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.
Author | : Barry Simon |
Publisher | : |
Total Pages | : 522 |
Release | : 1993-01-01 |
Genre | : Science |
ISBN | : 9780691087795 |
Download The Statistical Mechanics of Lattice Gases Book in PDF, ePub and Kindle
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.
Author | : Barry Simon |
Publisher | : |
Total Pages | : |
Release | : 1993 |
Genre | : |
ISBN | : |
Download The Statistical Mechanics of Lattice Gases - Vol. 1 Book in PDF, ePub and Kindle
Author | : Barry Simon |
Publisher | : |
Total Pages | : |
Release | : 1993 |
Genre | : |
ISBN | : |
Download The Statistical Mechanics of Lattice Gases Book in PDF, ePub and Kindle
Author | : Sacha Friedli |
Publisher | : Cambridge University Press |
Total Pages | : 643 |
Release | : 2017-11-23 |
Genre | : Mathematics |
ISBN | : 1107184827 |
Download Statistical Mechanics of Lattice Systems Book in PDF, ePub and Kindle
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Author | : David Lavis |
Publisher | : Springer Science & Business Media |
Total Pages | : 376 |
Release | : 2013-04-17 |
Genre | : Science |
ISBN | : 3662038439 |
Download Statistical Mechanics of Lattice Systems Book in PDF, ePub and Kindle
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.
Author | : Robert B. Israel |
Publisher | : Princeton University Press |
Total Pages | : 257 |
Release | : 2015-03-08 |
Genre | : Science |
ISBN | : 1400868424 |
Download Convexity in the Theory of Lattice Gases Book in PDF, ePub and Kindle
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.
Author | : R.K. Pathria |
Publisher | : Elsevier |
Total Pages | : 542 |
Release | : 2017-02-21 |
Genre | : Science |
ISBN | : 1483186881 |
Download Statistical Mechanics Book in PDF, ePub and Kindle
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.
Author | : David A. Lavis |
Publisher | : Springer Science & Business Media |
Total Pages | : 394 |
Release | : 1999-03-08 |
Genre | : Language Arts & Disciplines |
ISBN | : |
Download Statistical Mechanics of Lattice Systems Book in PDF, ePub and Kindle
This two-volume work provides a comprehensive study of the statistical mechanics of lattice models. It introduces the reader to the main areas in statistical mechanics and the theory of phase transitions. The development is built 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. Volume 2 includes extensive treatments of scaling theory, algebraic and real-space renormalization methods and the eight-vertex model. It also includes an account of series methods and a treatment of dimer assemblies.
Author | : Terrell L. Hill |
Publisher | : Courier Corporation |
Total Pages | : 546 |
Release | : 2012-06-08 |
Genre | : Science |
ISBN | : 0486130908 |
Download An Introduction to Statistical Thermodynamics Book in PDF, ePub and Kindle
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.