The Statistical Mechanics Of Lattice Gases
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The Statistical Mechanics Of Lattice Gases Volume I
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Author : Barry Simon
language : en
Publisher: Princeton University Press
Release Date : 2014-07-14
The Statistical Mechanics Of Lattice Gases Volume I written by Barry Simon and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Science categories.
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.
Statistical Mechanics Of Lattice Systems
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Author : Sacha Friedli
language : en
Publisher: Cambridge University Press
Release Date : 2017-11-23
Statistical Mechanics Of Lattice Systems written by Sacha Friedli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-23 with Mathematics categories.
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
The Statistical Mechanics Of Lattice Gases
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Author : Barry Simon
language : en
Publisher:
Release Date : 1993-01-01
The Statistical Mechanics Of Lattice Gases written by Barry Simon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Science categories.
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.
The Statistical Mechanics Of Lattice Gases
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Author : Barry Simon
language : en
Publisher:
Release Date : 1993
The Statistical Mechanics Of Lattice Gases written by Barry Simon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Convexity In The Theory Of Lattice Gases
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Author : Robert B. Israel
language : en
Publisher: Princeton University Press
Release Date : 2015-03-08
Convexity In The Theory Of Lattice Gases written by Robert B. Israel and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-08 with Science categories.
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.
The Statistical Mechanics Of Lattice Gases Vol 1
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Author : Barry Simon
language : en
Publisher:
Release Date : 1993
The Statistical Mechanics Of Lattice Gases Vol 1 written by Barry Simon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Lattice Gas Hydrodynamics
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Author : J.-P. Rivet
language : en
Publisher: Cambridge University Press
Release Date : 2001-01-04
Lattice Gas Hydrodynamics written by J.-P. Rivet and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-04 with Computers categories.
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 which capture the essentials of actual fluctuations in real fluids.
Lattice Gas Cellular Automata
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Author : Daniel H. Rothman
language : en
Publisher: Cambridge University Press
Release Date : 1997-08-28
Lattice Gas Cellular Automata written by Daniel H. Rothman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-28 with Computers categories.
A self-contained, comprehensive introduction to the theory of hydrodynamic lattice gases.
An Introduction To Statistical Thermodynamics
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Author : Terrell L. Hill
language : en
Publisher: Courier Corporation
Release Date : 2012-06-08
An Introduction To Statistical Thermodynamics written by Terrell L. Hill and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-08 with Science categories.
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.