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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: 9783642084119
Издательство: Springer
Классификация:


ISBN-10: 3642084117
Обложка/Формат: Paperback
Страницы: 372
Вес: 0.54 кг.
Дата издания: 06.12.2010
Серия: Theoretical and Mathematical Physics
Язык: English
Размер: 234 x 156 x 20
Основная тема: Physics
Подзаголовок: Volume 1: Closed-Form and Exact Solutions
Ссылка на Издательство: Link
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Поставляется из: Германии
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.


The Lattice Boltzmann Equation

Автор: Sauro Succi
Название: The Lattice Boltzmann Equation
ISBN: 0199592357 ISBN-13(EAN): 9780199592357
Издательство: Oxford Academ
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Цена: 10534.00 р. 15048.00 -30%
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Описание: An introductory textbook to Lattice Boltzmann methods in computational fluid dynamics, aimed at a broad audience of scientists working with flowing matter. LB has known a burgeoning growth of applications, especially in connection with the simulation of complex flows, and also on the methodological side.

Statistical Mechanics of Lattice Systems

Автор: David Lavis; George M. Bell
Название: Statistical Mechanics of Lattice Systems
ISBN: 3540644377 ISBN-13(EAN): 9783540644378
Издательство: Springer
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Цена: 7836.00 р.
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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: 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.

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

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.

Crystal Symme, Lattice Vibra & Opti

Название: Crystal Symme, Lattice Vibra & Opti
ISBN: 9814579203 ISBN-13(EAN): 9789814579209
Издательство: World Scientific Publishing
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Цена: 26928.00 р.
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Описание: This book provides a comprehensive treatment of the two fundamental aspects of a solid that determine its physical properties: lattice structure and atomic vibrations (phonons). The elements of group theory are extensively developed and used as a tool to show how the symmetry of a solid and the vibrations of the atoms in the solid lead to the physical properties of the material. The uses of different types of spectroscopy techniques that elucidate the lattice structure of a solid and the normal vibrational modes of the atoms in the solid are described. The interaction of light with solids (optical spectroscopy) is described in detail including how lattice symmetry and phonons affect the spectral properties and how spectral properties provide information about the material's symmetry and normal modes of lattice vibrations. The effects of point defects (doping) on the lattice symmetry and atomic vibrations and thus the spectral properties are discussed and used to show how material symmetry and lattice vibrations are critical in determining the properties of solid state lasers.

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.
Convexity in the Theory of Lattice Gases

Автор: Israel Robert B.
Название: Convexity in the Theory of Lattice Gases
ISBN: 0691606196 ISBN-13(EAN): 9780691606194
Издательство: Wiley
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Цена: 7128.00 р.
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Описание: 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 h

Interatomic Potentials and Simulation of Lattice Defects

Автор: P. Gehlen
Название: Interatomic Potentials and Simulation of Lattice Defects
ISBN: 1468419943 ISBN-13(EAN): 9781468419948
Издательство: Springer
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Цена: 16979.00 р.
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Описание: The remaining days were devoted to research papers on computer simulation of the four types of defects: point defects, line defects, surface defects, and volume defects.

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.

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.

Applied Linear Statistical Models with Student CD

Автор: Nachtsheim;Neter;Kutner
Название: Applied Linear Statistical Models with Student CD
ISBN: 0071122214 ISBN-13(EAN): 9780071122214
Издательство: McGraw-Hill
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Цена: 9265.00 р.
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Описание: "Applied Linear Statistical Models", 5e, is the long established leading authoritative text and reference on statistical modeling. For students in most any discipline where statistical analysis or interpretation is used, ALSM serves as the standard work. The text includes brief introductory and review material, and then proceeds through regression and modeling for the first half, and through ANOVA and Experimental Design in the second half. All topics are presented in a precise and clear style supported with solved examples, numbered formulae, graphic illustrations, and "Notes" to provide depth and statistical accuracy and precision. Applications used within the text and the hallmark problems, exercises, and projects are drawn from virtually all disciplines and fields providing motivation for students in virtually any college. The Fifth edition provides an increased use of computing and graphical analysis throughout, without sacrificing concepts or rigor. In general, the 5e uses larger data sets in examples and exercises, and where methods can be automated within software without loss of understanding, it is so done.


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