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Statistical Mechanics of Lattice Systems, David Lavis; George M. Bell


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Автор: David Lavis; George M. Bell
Название:  Statistical Mechanics of Lattice Systems
ISBN: 9783540644378
Издательство: Springer
Классификация:

ISBN-10: 3540644377
Обложка/Формат: Hardcover
Страницы: 372
Вес: 0.68 кг.
Дата издания: 08.03.1999
Серия: Theoretical and Mathematical Physics
Язык: English
Размер: 243 x 165 x 27
Основная тема: Physics
Подзаголовок: Volume 1: Closed-Form and Exact Solutions
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.


Statistical Mechanics of Lattice Systems

Автор: David Lavis; George M. Bell
Название: Statistical Mechanics of Lattice Systems
ISBN: 3540644369 ISBN-13(EAN): 9783540644361
Издательство: Springer
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Цена: 10448.00 р.
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Описание: Provides a comprehensive study of the statistical mechanics of lattice models. This work 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.

Statistical Mechanics of Lattice Systems

Автор: David Lavis; George M. Bell
Название: Statistical Mechanics of Lattice Systems
ISBN: 3642084109 ISBN-13(EAN): 9783642084102
Издательство: Springer
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Цена: 9141.00 р.
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Описание: Most of the interesting and difficult problems in statistical mechanics arise when the constituent particles of the system interact with each other with pair or multipartiele energies. The types of behaviour which occur in systems because of these interactions are referred to as cooperative phenomena giving rise in many cases to phase transitions. This book and its companion volume (Lavis and Bell 1999, referred to in the text simply as Volume 1) are princi- pally concerned with phase transitions in lattice systems. Due mainly to the insights gained from scaling theory and renormalization group methods, this subject has developed very rapidly over the last thirty years. ' In our choice of topics we have tried to present a good range of fundamental theory and of applications, some of which reflect our own interests. A broad division of material can be made between exact results and ap- proximation methods. We have found it appropriate to inelude some of our discussion of exact results in this volume and some in Volume 1. Apart from this much of the discussion in Volume 1 is concerned with mean-field theory. Although this is known not to give reliable results elose to a critical region, it often provides a good qualitative picture for phase diagrams as a whole. For complicated systems some kind of mean-field method is often the only tractable method available. In this volume our main concern is with scaling theory, algebraic methods and the renormalization group.

Statistical Mechanics of Lattice Systems

Автор: David Lavis; George M. Bell
Название: Statistical Mechanics of Lattice Systems
ISBN: 3642084117 ISBN-13(EAN): 9783642084119
Издательство: Springer
Рейтинг:
Цена: 7835.00 р.
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Описание: Most of the interesting and difficult problems in statistical mechanics arise when the constituent particles of the system interact with each other with pair or multi particle energies. The types of behaviour which occur in systems because of these interactions are referred to as cooperative phenomena giving rise in many cases to phase transitions. This book and its companion volume (Lavis and Bell 1999, referred to in the text simply as Volume 2) are princi- pally concerned with phase transitions in lattice systems. Due mainly to the insights gained from scaling theory and renormalization group methods, this 1 subject has developed very rapidly over the last thirty years. In our choice of topics we have tried to present a good range of fundamental theory and of applications, some of which reflect our own interests. A broad division of material can be made between exact results and ap- proximation methods. We have found it appropriate to include some of our discussion of exact results in this volume and some in Volume 2. The other main area of discussion in this volume is mean-field theory leading to closed- form approximations. Although this is known not to give reliable results close to a critical region, it often provides a good qualitative picture for phase dia- grams as a whole. For complicated systems some kind of mean-field method is often the only tractable method available.

Equilibrium Statistical Mechanics of Lattice Models

Автор: David A. Lavis
Название: Equilibrium Statistical Mechanics of Lattice Models
ISBN: 9401794294 ISBN-13(EAN): 9789401794299
Издательство: Springer
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Цена: 18284.00 р.
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Описание: The latter is applied to a general analysis of eight-vertex models yielding as special cases the two-dimensional Ising model and the six-vertex model. The use of the De Neef-Enting finite-lattice method is described in detail and applied to the derivation of series for a number of model systems, in particular for the Potts model.

Equilibrium Statistical Mechanics of Lattice Models

Автор: David A. Lavis
Название: Equilibrium Statistical Mechanics of Lattice Models
ISBN: 9402405046 ISBN-13(EAN): 9789402405040
Издательство: Springer
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Цена: 15672.00 р.
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Описание: The latter is applied to a general analysis of eight-vertex models yielding as special cases the two-dimensional Ising model and the six-vertex model. The use of the De Neef-Enting finite-lattice method is described in detail and applied to the derivation of series for a number of model systems, in particular for the Potts model.

The Statistical Mechanics of Lattice Gases, Volume I

Автор: Simon Barry
Название: The Statistical Mechanics of Lattice Gases, Volume I
ISBN: 0691607915 ISBN-13(EAN): 9780691607917
Издательство: Wiley
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Цена: 15048.00 р.
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Описание: 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 backgroun

The Lattice Boltzmann Method

Автор: Kr?ger
Название: The Lattice Boltzmann Method
ISBN: 3319446479 ISBN-13(EAN): 9783319446479
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This book is an introduction to the theory, practice, and implementation of the Lattice Boltzmann (LB) method, a powerful computational fluid dynamics method that is steadily gaining attention due to its simplicity, scalability, extensibility, and simple handling of complex geometries. The book contains chapters on the method's background, fundamental theory, advanced extensions, and implementation. To aid beginners, the most essential paragraphs in each chapter are highlighted, and the introductory chapters on various LB topics are front-loaded with special 'in a nutshell' sections that condense the chapter's most important practical results. Together, these sections can be used to quickly get up and running with the method. Exercises are integrated throughout the text, and frequently asked questions about the method are dealt with in a special section at the beginning. In the book itself and through its web page, readers can find example codes showing how the LB method can be implemented efficiently on a variety of hardware platforms, including multi-core processors, clusters, and graphics processing units. Students and scientists learning and using the LB method will appreciate the wealth of clearly presented and structured information in this volume.

Lattice Quantum Chromodynamics

Автор: Francesco Knechtli; Michael G?nther; Michael Peard
Название: Lattice Quantum Chromodynamics
ISBN: 9402409971 ISBN-13(EAN): 9789402409970
Издательство: Springer
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Цена: 7685.00 р.
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Описание:

This book provides an overview of the techniques central to lattice quantum chromodynamics, including modern developments.
The book has four chapters. The first chapter explains the formulation of quarks and gluons on a Euclidean lattice. The second chapter introduces Monte Carlo methods and details the numerical algorithms to simulate lattice gauge fields. Chapter three explains the mathematical and numerical techniques needed to study quark fields and the computation of quark propagators. The fourth chapter is devoted to the physical observables constructed from lattice fields and explains how to measure them in simulations. The book is aimed at enabling graduate students who are new to the field to carry out explicitly the first steps and prepare them for research in lattice QCD.
Theory of Crystal Space Groups and Lattice Dynamics

Автор: J. L. Birman
Название: Theory of Crystal Space Groups and Lattice Dynamics
ISBN: 354013395X ISBN-13(EAN): 9783540133957
Издательство: Springer
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Цена: 15672.00 р.
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Описание: In writing this book I had in mind an audience of physicists and chemists with no previous deep exposure to symmetry analysis of crystalline matter, non to the use of symmetry in simplifying and refining predictions of the results of optical experiments.

Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking

Автор: Takahiro Doi
Название: Lattice QCD Study for the Relation Between Confinement and Chiral Symmetry Breaking
ISBN: 9811065950 ISBN-13(EAN): 9789811065958
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This thesis focuses on an unresolved problem in particle and nuclear physics: the relation between two important non-perturbative phenomena in quantum chromodynamics (QCD) - quark confinement and chiral symmetry breaking.

Statistical mechanics of phase transitions

Автор: Yeomans, J.m.
Название: Statistical mechanics of phase transitions
ISBN: 0198517300 ISBN-13(EAN): 9780198517306
Издательство: Oxford Academ
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Цена: 6493.00 р.
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Описание: This work provides an introduction to the physics which underlies phase transitions and to the theoretical techniques currently at our disposal for understanding them. It will be useful for advanced undergraduates, for post-graduate students undertaking research in related fields, and for established researchers.

Chiral Four-Dimensional Heterotic String Vacua From Covariant Lattices

Автор: Florian Beye
Название: Chiral Four-Dimensional Heterotic String Vacua From Covariant Lattices
ISBN: 9811008027 ISBN-13(EAN): 9789811008023
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book is placed at the interface between string theory and elementary particle physics and shows novel results in the search for a heterotic string vacuum that reproduces those matter particles and interactions observed in our universe. The author provides a systematic classification of potentially realistic heterotic covariant lattice vacua, which possess a lower number of moduli fields when compared to conventional compactification methods, by means of number theoretical methods. These methods, while well known to the mathematics community, have not yet found many applications to physics. They are introduced to the degree necessary to understand the computations carried out throughout this work. Furthermore, explicit covariant lattice models with particularly interesting properties are analyzed in detail. Finally, new light is shed on the relation between covariant lattice models and asymmetric orbifold compactifications, the result being a concrete correspondence between certain types of asymmetric orbifolds and those classified covariant lattices.


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