Convexity in the Theory of Lattice Gases, Israel Robert B.

Автор: Sauro Succi
Название: The Lattice Boltzmann Equation
ISBN: 0199592357 ISBN-13(EAN): 9780199592357
Издательство: Oxford Academ
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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.

Автор: P. Gehlen
Название: Interatomic Potentials and Simulation of Lattice Defects
ISBN: 1468419943 ISBN-13(EAN): 9781468419948
Издательство: Springer
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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.

Название: Crystal Symme, Lattice Vibra & Opti
ISBN: 9814579203 ISBN-13(EAN): 9789814579209
Издательство: World Scientific Publishing
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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.

Автор: B. Dorner
Название: Coherent Inelastic Neutron Scattering in Lattice Dynamics
ISBN: 3662157764 ISBN-13(EAN): 9783662157763
Издательство: Springer
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Автор: David Lavis; George M. Bell
Название: Statistical Mechanics of Lattice Systems
ISBN: 3642084117 ISBN-13(EAN): 9783642084119
Издательство: Springer
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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.

Автор: David Lavis; George M. Bell
Название: Statistical Mechanics of Lattice Systems
ISBN: 3642084109 ISBN-13(EAN): 9783642084102
Издательство: Springer
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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.

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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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.

Автор: Nikolaus Schwentner; Ernst-Eckhard Koch; Joshua Jo
Название: Electronic Excitations in Condensed Rare Gases
ISBN: 3662152215 ISBN-13(EAN): 9783662152218
Издательство: Springer
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Автор: Alexander V. Bogdanov; German V. Dubrovskiy; Micha
Название: Interaction of Gases with Surfaces
ISBN: 366214042X ISBN-13(EAN): 9783662140420
Издательство: Springer
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Автор: Shinozuka, Yuzo
Название: Electron–Lattice Interactions in Semiconductors
ISBN: 9814800961 ISBN-13(EAN): 9789814800969
Издательство: Taylor&Francis
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Описание: This book presents theoretical treatments on various electronic and atomic processes in non-metallic materials from a unified point of view. It starts with the basic properties of semiconductors, treating the system as a macroscopic association of electrons and ions. In their ground state, fruitful results are derived.

Название: Algebraic analysis of solvable lattice models
ISBN: 0821803204 ISBN-13(EAN): 9780821803202
Издательство: Mare Nostrum (Eurospan)
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Описание: Based on the NSF-CBMS Regional Conference lectures presented by Miwa in June 1993, this book surveys developments in the interplay between solvable lattice models in statistical mechanics and representation theory of quantum affine algebras. It also briefly discusses the limit of the $XXX$ model.

Автор: Peter Br?esch
Название: Phonons: Theory and Experiments I
ISBN: 3642817831 ISBN-13(EAN): 9783642817830
Издательство: Springer
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Описание: This two-volume treatment grew out of lectures the author gave at the "Ecole Poly technique Federale de Lausanne" during the years 1975-1980 for graduate students in experimental physics in their last year of study.