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Author: Masuo Suzuki
Publisher: World Scientific
ISBN: 9814501387
Category : Science
Languages : en
Pages : 534
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Book Description
This book presents a systematic and coherent approach to phase transitions and critical phenomena, namely the coherent-anomaly method (CAM theory) based on cluster mean-field approximations. The first part gives a brief review of the CAM theory and the second part a collection of reprints covering the CAM basic calculations, the Blume-Emery-Griffiths model, the extended Baxter model, the quantum Heisenberg model, zero-temperature phase transitions, the KT-transition, spin glasses, the self-avoiding walk, contact processes, branching processes, the gas-liquid transition and even non-equilibrium phase transitions.
Author: Masuo Suzuki
Publisher: World Scientific
ISBN: 9789810220235
Category : Science
Languages : en
Pages : 540
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Book Description
This book presents a systematic and coherent approach to phase transitions and critical phenomena, namely the coherent-anomaly method (CAM theory) based on cluster mean-field approximations. The first part gives a brief review of the CAM theory and the second part a collection of reprints covering the CAM basic calculations, the Blume-Emery-Griffiths model, the extended Baxter model, the quantum Heisenberg model, zero-temperature phase transitions, the KT-transition, spin glasses, the self-avoiding walk, contact processes, branching processes, the gas-liquid transition and even non-equilibrium phase transitions.
Author: J.L. Morán-López
Publisher: Springer Science & Business Media
ISBN: 1461304199
Category : Science
Languages : en
Pages : 420
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Book Description
This volume is a compilation of papers presented at the International Workshop on the Theory and Applications of the Cluster Variation and Path Probability Methods, held in the city of San Juan, Teotihuacan, Mexico, during June 18-22, 1995. The presentations at the workshop provided a state of the art review of the fundamental aspects of the CVM and PPM and their application to a wide range of problems in statistical mechanics and alloy theory. The volume begins with several articles dealing with the study of the kinetics of ordering in Ising sytems and alloys using the PPM and other classical techniques. These articles are followed by the contribution of Professor Masuo Suzuki on the Coherent Anomaly Method which has added a new dimension to mean field theory, and the CVM in particular, in the study of critical phenomena. The remaining of the volume is dedicated to fundamental aspects and specific applications of the CVM in a wide range of subjects ranging from bulk and surface studies to new areas of inquiry such as the problem of image reconstruction. Since the inception by Prof. Ryoichi Kikuchi of the CVM in 1950 and of the PPM in 1966, the latter after a gestation period of approximately six years, the tech niques have found wide acceptance in the physics and materials science communities. Both methods are properly regarded as seminal contributions to equilibrium and non equilibrium statistical mechanics.
Author: Kazuo Fujikawa
Publisher: OUP Oxford
ISBN: 019152381X
Category : Science
Languages : en
Pages : 297
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Book Description
The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, i.e. the quantum breaking of certain symmetries, can now cover all the known quantum anomalies in a coherent manner. In this book the authors provide an introduction to the path integral method in quantum field theory and its applications to the analyses of quantum anomalies. No previous knowledge of field theory beyond advanced undergraduate quantum mechanics is assumed. The book provides the first coherent introductory treatment of the path integral formulation of chiral and Weyl anomalies, with applications to gauge theory in two and four dimensions, conformal field theory and string theory. Explicit and elementary path integral calculations of most of the quantum anomalies covered are given. The conceptual basis of the path integral bosonization in two-dimensional theory, which may have applications to condensed matter theory, for example, is clarified. The book also covers the recent interesting developments in the treatment of fermions and chiral anomalies in lattice gauge theory.
Author: Masuo Suzuki
Publisher: World Scientific
ISBN: 9814548200
Category :
Languages : en
Pages : 314
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Book Description
This meeting is devoted to discussing new approaches to critical fluctuation, quantum fluctuation and relaxation phenomena. The main topics include: the study of critical fluctuation, using perturbational expansions, generalized systematic cluster mean-field approximations, the CAM...; possible new systematic approaches to quantum fluctuation including quantum Monte Carlo simulations; and coherent approaches to fluctuation and relaxation in complex systems such as spin glasses.
Author: Seongkeun Cho
Publisher:
ISBN:
Category :
Languages : en
Pages : 129
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Book Description
"The concept of coherence in optics means how closely an optical field oscillates in unison at the same position in different time (temporal coherence) or at different positions at the same time (spatial coherence). Since all optical fields oscillate very rapidly with random fluctuations, coherence theory has been developed to describe the state of coherence of those optical fields through the usage of time-averaged correlation functions. This thesis reviews and applies coherence theory for an accurate and improved modeling in field-propagation and coherence measurement for partially coherent fields. The first half of this thesis discusses the study of phase-space distributions and phase-space tomography. Phase-space distributions such as the Wigner and the ambiguity functions can be used as simple mathematical tools for describing the propagation of an optical field for any state of coherence as those functions incorporate wave effects with the simplicity of ray optics. However, the Wigner and the ambiguity functions require a paraxial condition for the field description. To overcome this limitation, the nonparaxial extensions of the Wigner function have been studied and applied for nonparaxial fields. In this thesis, a simple series expression for calculating a nonparaxial generalization of the Wigner function from the standard Wigner function is developed in both two- and three-dimensional free space. A nonparaxial generalization of the ambiguity function that retains properties analogous to the standard ambiguity function is also proposed in both two and three dimensions. This generalization extends phase-space tomography to the nonparaxial regime. The second half of this thesis proposes a new method of coherence measurement based on diffraction. By measuring the radiant intensity of a field with and without a binary transparent phase mask, one can estimate the coherence of a field at all pairs of the points centered at the mask's edge. This method is proposed in both two and three dimensions, and simple measures of the levels of error of this scheme are also derived. The numerical and experimental results validate the proposed method. This proposed scheme can also be extended to phase masks that are not transparent"--Page vi-vii.
Author: Takeyuki Hida
Publisher: World Scientific
ISBN: 9814550973
Category :
Languages : en
Pages : 394
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Book Description
Contents:Trace Formulae for Levy-Gaussian Measures and Their Application (L Accardi & O G Smolyanov)Mathematical Theory of Early Vision: Historical Note (J J Atick)Unidirectional versus Bi-directional Theory for Trajectory Planning and Control (M Kawato)Relaxations in the Electronic Excited States of Complex Systems (T Kushida)Coherent Approach to Fluctuations (M Suzuki)Simulational and Analytic Studies of Anomalous Relaxation in Disordered Systems (F Yonezawa et al)Work with Pavel Bleher on Eigenvalue Statistics in Integrable Dynamical Systems (F Dyson)and other papers Readership: Applied mathematicians.keywords:
Author: H. Mitter
Publisher: Springer Science & Business Media
ISBN: 1461519373
Category : Science
Languages : en
Pages : 472
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Book Description
The present volume contains the text of the invited talks delivered at the Eighth International Conference on Recent Progress in Many-Body Theories held at SchloB Seggau, Province of Styria, Austria, during the period August 22-26, 1994. The pro ceedings of the Fifth Conference (Oulu, Finland 1987), the Sixth Conference (Arad, Israel 1989) and the Seventh Conference (Minneapolis, USA 1991) have been published. by Plenum as the first three volumes of this series. Papers from the First Conference (Trieste, Italy 1978) comprise Nuclear Physics volume A328, Nos. 1 and 2, the Second Conference (Oaxtepec, Mexico 1979) was published by Springer-Verlag as volume 142 of "Lecture Notes in Physics," entitled "Recent Progress in Many Body Theories." Vol ume 198 of the same series contains the papers from the Third Conference (Altenberg, 1983). These volumes intend to cover a broad spectrum of current research topics in physics that benefit from the application of many-body theories for their elucidation. At the same time there is a focus on the development and refinement of many-body methods. One of the major aims of the conference series has been to foster the exchange of ideas among physicists working in such diverse areas as nuclear physics, quantum chemistry, complex systems, lattice Hamiltonians, quantum fluids and condensed matter physics. The present volume contains contributions from all these areas. th The conference was dedicated on the occasion of Ludwig Boltzmann's 150 birthday.
Author:
Publisher: Academic Press
ISBN: 0080865119
Category : Science
Languages : en
Pages : 513
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Book Description
The latest volume in the world renowned Solid State Physics series marks the fruition of Founding Editor David Turnbull's outstanding tenure as series editor. Volume 47 presents five articles written by leadingexperts on areas including crystal-melt interfacial tension, order-disorder transformation in alloys, brittle matrix composites, surfaces and interfaces, and magnetoresistance.
Author: Hajime Takayama
Publisher: Springer Science & Business Media
ISBN: 3642745547
Category : Science
Languages : en
Pages : 356
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Book Description
Many novel cooperative phenomena found in a variety of systems studied by scientists can be treated using the uniting principles of synergetics. Examples are frustrated and random systems, polymers, spin glasses, neural networks, chemical and biological systems, and fluids. In this book attention is focused on two main problems. First, how local, topological constraints (frustrations) can cause macroscopic cooperative behavior: related ideas initially developed for spin glasses are shown to play key roles also for optimization and the modeling of neural networks. Second, the dynamical constraints that arise from the nonlinear dynamics of the systems: the discussion covers turbulence in fluids, pattern formation, and conventional 1/f noise. The volume will be of interest to anyone wishing to understand the current development of work on complex systems, which is presently one of the most challenging subjects in statistical and condensed matter physics.
Author: Chin Kun Hu
Publisher: World Scientific
ISBN: 9814644080
Category :
Languages : en
Pages : 418
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Book Description
Contents:Critical Phenomena, Field Theory and Renormalisation Group (T-M Yan & S C-C Lin)Field Theories of Surfaces and Interfaces (S C-C Lin)Spiral Self-Avoiding Walks (K Y Lin)Critical Phenomena on Fractal Lattices (Doochul Kim)Percolation and Phase Transitions: Towards a Unified Theory of Phase Transitions (C-K Hu)Real Space Approach to Disordered Systems (S-Y Wu)Three Routes to Chaos: Period Doubling, Intermittency and Quasiperiodicity (B Hu)Ordering Kinetics in Phase Transitions (K Kawasaki)A Design of Analog Circuit for Studies of Transitions to Chaos in a RF-Driven Josephson Junction (J C Huang et al)Potts Model and Graph Theory (F Y Wu)Number and Size of Convex Polygons on the Square Lattice (K Y Lin)Exactly Solvable Models in Statistical Mechanics and Automorphisms of Algebraic Varieties (J-M Maillard)The Application of the Transfer Matrix Method to the Phase Transition of Ising Model (T Oguchi et al)Coherent-Anomaly Method in Critical Phenomena (M Katori & M Suzuki)Monte Carlo Study of Percolation Transitions and Phase Transitions in Interacting Systems (C-K Hu & K-S Mak)Anisotropic Surface Tension and Equilibrium Crystal Shapes (R K P Zia)The Structure Making and Breaking Effects of Ion Solvation in Water (J-L Lin & C-Y Mou)Ordering Processes in Two-Dimensional Quantum Spin Systems (S=1/2) (S Miyashita)Phase Transitions in Arrays of Josephson Junctions (M Y Choi) Readership: Theoretical physicists and condensed matter physicists.
