modern theory of critical phenomena advanced books classics

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Modern Theory Of Critical Phenomena

Author : Shang-Keng Ma
ISBN : 8187169869
Genre : Fenomeno critico (Fisica)
File Size : 82. 81 MB
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Field Theory The Renormalization Group And Critical Phenomena

Author : Daniel J Amit
ISBN : 9789813102071
Genre : Science
File Size : 85. 77 MB
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This volume links field theory methods and concepts from particle physics with those in critical phenomena and statistical mechanics, the development starting from the latter point of view. Rigor and lengthy proofs are trimmed by using the phenomenological framework of graphs, power counting, etc., and field theoretic methods with emphasis on renormalization group techniques. Non-perturbative methods and numerical simulations are introduced in this new edition. Abundant references to research literature complement this matter-of-fact approach. The book introduces quantum field theory to those already grounded in the concepts of statistical mechanics and advanced quantum theory, with sufficient exercises in each chapter for use as a textbook in a one-semester graduate course. The following new chapters are included: I. Real Space Methods II. Finite Size Scaling III. Monte Carlo Methods. Numerical Field Theory

Field Theory The Renormalization Group And Critical Phenomena

Author : D. J. Amit
ISBN : 9812561099
Genre : Science
File Size : 66. 64 MB
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This volume links field theory methods and concepts from particle physics with those in critical phenomena and statistical mechanics, the development starting from the latter point of view. Rigor and lengthy proofs are trimmed by using the phenomenological framework of graphs, power counting, etc., and field theoretic methods with emphasis on renormalization group techniques. Non-perturbative methods and numerical simulations are introduced in this new edition. Abundant references to research literature complement this matter-of-fact approach. The book introduces quantum field theory to those already grounded in the concepts of statistical mechanics and advanced quantum theory, with sufficient exercises in each chapter for use as a textbook in a one-semester graduate course.The following new chapters are included:I.Real Space MethodsII.Finite Size ScalingIII.Monte Carlo Methods. Numerical Field Theory

Order Disorder And Criticality

Author : Yurij Holovatch
ISBN : 9789814485159
Genre : Science
File Size : 61. 91 MB
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This book reviews some of the classic aspects in the theory of phase transitions and critical phenomena, which has a long history. Recently, these aspects are attracting much attention due to essential new contributions. The topics presented in this book include: mathematical theory of the Ising model; equilibrium and non-equilibrium criticality of one-dimensional quantum spin chains; influence of structural disorder on the critical behaviour of the Potts model; criticality, fractality and multifractality of linked polymers; field-theoretical approaches in the superconducting phase transitions. The book is based on the review lectures that were given in Lviv (Ukraine) in March 2002 at the “Ising lectures” — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the subject. Contents:Mathematical Theory of the Ising Model and Its Generalizations: An Introduction (Y Kozitsky)Relaxation in Quantum Spin Chains: Free Fermionic Models (D Karevski)Quantum Phase Transitions in Alternating Transverse Ising Chains (O Derzhko)Phase Transitions in Two-Dimensional Random Potts Models (B Berche & C Chatelain)Scaling of Miktoarm Star Polymers (C von Ferber)Field Theoretic Approaches to the Superconducting Phase Transition (F S Nogueira & H Kleinert) Readership: Researchers, academics and graduate students in condensed matter physics. Keywords:Phase Transitions;Disorder;Critical Phenomena;Renormalization Group;Ising Model;Potts Model

Introduction To The Theory Of Critical Phenomena

Author : Dimo I. Uzunov
ISBN : 9789814299480
Genre : Science
File Size : 45. 41 MB
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This book provides a comprehensive introduction to the theory of phase transitions and critical phenomena. The content covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems. It starts from certain basic University knowledge of thermodynamics, statistical physics and quantum mechanics. The text is illustrated with classic examples of phase transitions. Various types of phase transition and (multi)critical points are introduced and explained. The classic aspects of the theory are naturally related with the modern developments. This interrelationship and the field-theoretical renormalization group method are presented in details. The main applications of the renormalization group methods are presented. Special attention is paid to the description of quantum phase transitions. This edition contains a more detailed presentation of the renormalization group method and its applications to particular systems.

Elements Of Phase Transitions And Critical Phenomena

Author : Hidetoshi Nishimori
ISBN : 9780199577224
Genre : Science
File Size : 76. 11 MB
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As an introductory account of the theory of phase transitions and critical phenomena, this book reflects lectures given by the authors to graduate students at their departments and is thus classroom-tested to help beginners enter the field. Most parts are written as self-contained units and every new concept or calculation is explained in detail without assuming prior knowledge of the subject. The book significantly enhances and revises a Japanese version which is a bestseller in the Japanese market and is considered a standard textbook in the field. It contains new pedagogical presentations of field theory methods, including a chapter on conformal field theory, and various modern developments hard to find in a single textbook on phase transitions. Exercises are presented as the topics develop, with solutions found at the end of the book, making the text useful for self-teaching, as well as for classroom learning.

Bosonization Of Interacting Fermions In Arbitrary Dimensions

Author : Peter Kopietz
ISBN : 9783540684954
Genre : Science
File Size : 67. 67 MB
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The author presents in detail a new non-perturbative approach to the fermionic many-body problem, improving the bosonization technique and generalizing it to dimensions d1 via functional integration and Hubbard--Stratonovich transformations. In Part I he clearly illustrates the approximations and limitations inherent in higher-dimensional bosonization and derives the precise relation with diagrammatic perturbation theory. He shows how the non-linear terms in the energy dispersion can be systematically included into bosonization in arbitrary d, so that in d1 the curvature of the Fermi surface can be taken into account. Part II gives applications to problems of physical interest. The book addresses researchers and graduate students in theoretical condensed matter physics.

Introduction To Phase Transitions And Critical Phenomena

Author : Harry Eugene Stanley
ISBN : 0195053168
Genre : Literary Criticism
File Size : 22. 54 MB
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The book is at the level at which a graduate student who has studied condensed matter physics can begin to comprehend the nature of phase transitions, which involve the transformation of one state of matter into another. (A simple example is the melting of a solid to become a liquid.) Such a transformation is termed 'critical' when, after a certain amount of the substance changes phase, the entire bulk virtually instantaneously also makes the transition. A second, updated edition is planned for future publication, but in the mean time this paperback reissue will be useful in teaching the fundamental principles of this extremely interesting subject.

Quantitative Theory Of Critical Phenomena

Author : George A. Jr. Baker
ISBN : 9780323153157
Genre : Science
File Size : 72. 56 MB
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Quantitative Theory of Critical Phenomena details in a self-contained manner the most popular and extensively practiced methods for the quantitative study of critical phenomena. The text is divided into three parts. Part I deals with the general theory of critical phenomena — its thermodynamic aspects, statistical mechanical framework, classical model, and inequalities. Part II tackles the combinatorial theory of series generation. Part III covers the quantitative analysis of series expansions, which includes topics such as the complex variable theory, the algebraic aspects and numerical evaluation of Padé approximants, and special continuation methods. The book is recommended for mathematicians and physicists who would like to know more about critical phenomena, its theories, and the methods for its quantitative study.

Modern Theory Of Critical Phenomena

Author : Shanggeng Ma
ISBN : 0805366717
Genre : Science
File Size : 74. 38 MB
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