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Author : S. V. G. Menon
Publisher : Unknown
Page : 225 pages
File Size : 52,5 Mb
Release : 1995-01-01
Category : Critical phenomena (Physics)
ISBN : 8122407013
Author : J. J. Binney,N. J. Dowrick,A. J. Fisher,M. E. J. Newman
Publisher : Oxford University Press
Page : 477 pages
File Size : 48,6 Mb
Release : 1992-06-11
Category : Science
ISBN : 9780191660566
The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last quarter-century. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas of physics, especially quantum field theory. This book provides a thorough introduction to these techniques. Continuous phase transitions are introduced, then the necessary statistical mechanics is summarized, followed by standard models, some exact solutions and techniques for numerical simulations. The real-space renormalization group and mean-field theory are then explained and illustrated. The final chapters cover the Landau-Ginzburg model, from physical motivation, through diagrammatic perturbation theory and renormalization to the renormalization group and the calculation of critical exponents above and below the critical temperature.
Author : Daniel J Amit,Victor Martin-mayor
Publisher : World Scientific Publishing Company
Page : 568 pages
File Size : 53,9 Mb
Release : 2005-06-21
Category : Science
ISBN : 9789813102071
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
Author : A.N. Vasil'ev
Publisher : CRC Press
Page : 704 pages
File Size : 45,7 Mb
Release : 2004-04-28
Category : Science
ISBN : 9781134389667
This volume provides a general field-theoretical picture of critical phenomena and stochastic dynamics and helps readers develop a practical skill for calculations. This education on the practical skill sets this book apart: it is the first to give a full technical introduction to the field. Both general ideas and ...hard... calculations are presen
Author : Gérard Toulouse,Pierre Pfeuty
Publisher : John Wiley & Sons
Page : 206 pages
File Size : 40,8 Mb
Release : 1977
Category : Mathematics
ISBN : MINN:31951000521416U
Author : Andrea Pelissetto
Publisher : Unknown
Page : 181 pages
File Size : 43,9 Mb
Release : 2002
Category : Electronic
ISBN : OCLC:52646716
Author : Daniel J Amit
Publisher : World Scientific Publishing Company
Page : 412 pages
File Size : 41,5 Mb
Release : 1984-08-31
Category : Electronic
ISBN : 9789813104143
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. 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.
Author : Anonim
Publisher : Unknown
Page : 464 pages
File Size : 40,5 Mb
Release : 1999
Category : Electronic
ISBN : OCLC:1024803758
Author : Dimo I Uzunov
Publisher : World Scientific Publishing Company
Page : 700 pages
File Size : 43,8 Mb
Release : 2010-08-31
Category : Science
ISBN : 9789813100909
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.
Author : Shang-keng Ma
Publisher : Routledge
Page : 591 pages
File Size : 42,5 Mb
Release : 2018-05-04
Category : Social Science
ISBN : 9780429967436
An important contributor to our current understanding of critical phenomena, Ma introduces the beginner--especially the graduate student with no previous knowledge of the subject-to fundamental theoretical concepts such as mean field theory, the scaling hypothesis, and the renormalization group. He then goes on to apply the renormalization group to selected problems, with emphasis on the underlying physics and the basic assumptions involved.
Author : Dimo I. Uzunov
Publisher : World Scientific
Page : 701 pages
File Size : 50,5 Mb
Release : 2010
Category : Science
ISBN : 9789814299497
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.
Author : Hidetoshi Nishimori,Gerardo Ortiz
Publisher : Oxford University Press
Page : 373 pages
File Size : 54,9 Mb
Release : 2011
Category : Science
ISBN : 9780199577224
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.
Author : James Binney
Publisher : Unknown
Page : 0 pages
File Size : 48,8 Mb
Release : 2023
Category : Critical phenomena (Physics)
ISBN : 1383022607
A basic introduction to the theory of continuous phase transitions. The book provides a self-contained introduction to techniques that play important roles in contemporary physics for beginning graduate students.
Author : Pierre Pfeuty,Gerard Toulouse
Publisher : Unknown
Page : 190 pages
File Size : 50,9 Mb
Release : 1975
Category : Critical phenomena (Physics)
ISBN : OCLC:488785831
Author : Roland Bauerschmidt,David C. Brydges,Gordon Slade
Publisher : Springer Nature
Page : 283 pages
File Size : 40,5 Mb
Release : 2019-10-16
Category : Science
ISBN : 9789813295933
This is a primer on a mathematically rigorous renormalisation group theory, presenting mathematical techniques fundamental to renormalisation group analysis such as Gaussian integration, perturbative renormalisation and the stable manifold theorem. It also provides an overview of fundamental models in statistical mechanics with critical behaviour, including the Ising and φ4 models and the self-avoiding walk. The book begins with critical behaviour and its basic discussion in statistical mechanics models, and subsequently explores perturbative and non-perturbative analysis in the renormalisation group. Lastly it discusses the relation of these topics to the self-avoiding walk and supersymmetry. Including exercises in each chapter to help readers deepen their understanding, it is a valuable resource for mathematicians and mathematical physicists wanting to learn renormalisation group theory.