Algebraic analysis of solvable lattice models, 

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: Israel Robert B.
Название: Convexity in the Theory of Lattice Gases
ISBN: 0691606196 ISBN-13(EAN): 9780691606194
Издательство: Wiley
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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

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: 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: B. Dorner
Название: Coherent Inelastic Neutron Scattering in Lattice Dynamics
ISBN: 3662157764 ISBN-13(EAN): 9783662157763
Издательство: Springer
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Автор: Succi, Sauro (director Of Research, Director Of Research, Istituto Applicazioni Del Calcolo "mauro Picone ", Rome, National Research Council Of Italy)
Название: Lattice boltzmann equation: for complex states of flowing matter
ISBN: 0192862804 ISBN-13(EAN): 9780192862808
Издательство: Oxford Academ
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Описание: After providing a self-contained introduction to the kinetic theory of fluids and a thorough account of its transcription to the lattice framework, this text provides a survey of the major developments which have led to the impressive growth of the Lattice Boltzmann across most walks of fluid dynamics and its interfaces with allied disciplines.

Автор: Israel Robert B.
Название: Convexity in the Theory of Lattice Gases
ISBN: 0691635005 ISBN-13(EAN): 9780691635002
Издательство: Wiley
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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 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.

Автор: Sato Takuro
Название: Transport and NMR Studies of Charge Glass in Organic Conductors with Quasi-Triangular Lattices
ISBN: 9811355134 ISBN-13(EAN): 9789811355134
Издательство: Springer
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Описание: It focuses on quasi-two-dimensional organic conductors of the -(BEDT-TTF)2X family, which form anisotropic triangular lattices, and examines their electronic properties using various measurements: resistivity, time-resolved electric transport, X-ray diffraction analysis, and nuclear magnetic resonance spectroscopy.

Автор: Bettles Robert
Название: Cooperative Interactions in Lattices of Atomic Dipoles
ISBN: 3319874098 ISBN-13(EAN): 9783319874098
Издательство: Springer
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Описание: This thesis reports the remarkable discovery that, by arranging the dipoles in an ordered array with particular spacings, it is possible to greatly enhance the cross-section and achieve a strong light-matter coupling (>98% of the incident light).

Автор: Takuro Sato
Название: Transport and NMR Studies of Charge Glass in Organic Conductors with Quasi-triangular Lattices
ISBN: 9811058784 ISBN-13(EAN): 9789811058783
Издательство: Springer
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Описание: It focuses on quasi-two-dimensional organic conductors of the ГЋВё-(BEDT-TTF)2X family, which form anisotropic triangular lattices, and examines their electronic properties using various measurements: resistivity, time-resolved electric transport, X-ray diffraction analysis, and nuclear magnetic resonance spectroscopy.