Introduction To The Theory Of Critical Phenomena Mean Field Fluctuations And Renormalization 2nd Edition
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Introduction To The Theory Of Critical Phenomena
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Author : D. I. Uzunov
language : en
Publisher: World Scientific
Release Date : 1993
Introduction To The Theory Of Critical Phenomena written by D. I. Uzunov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Science categories.
The sophistication of modern tools used in the study of statistical mechanics and field theory is often an obstacle to the easy understanding of new important current results reported in journals. The main purpose of this book is to introduce the reader to the methods of the fluctuation (field) theory of phase transitions and critical phenomena so as to provide a good source for research. The introductory contents are concerned with ideas of description, thermodynamic stability theory related to phase transitions, major experimental facts, basic models and their relationships. Special attention is paid to the mean field approximation and to the Landau expansion for simple and complex models of critical and multicritical phenomena. An instructive representation of the modern perturbation theory and the method of the renormalization group is developed for field models of phase transitions. The essential influence of the fluctuations on the critical behaviour is established together with the theory of correlation functions, Gaussian approximation, the Ginzburg criterion, ?- and 1/n- expansions as practical realizations of the renormalization group ideas. Applications of the theory to concrete aspects of condensed matter physics are considered: quantum effects, Bose condensation, crystal anisotropy, superconductors and liquid crystals, effects of disorder of type randomly distributed quenched impurities and random fields. This volume can be used as an advanced University course book for students with a basic knowledge of statistical physics and quantum mechanics. It could be considered as a complementary text to a standard University course on statistical physics.
Introduction To The Theory Of Critical Phenomena
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Author : Dimo I. Uzunov
language : en
Publisher:
Release Date : 2010
Introduction To The Theory Of Critical Phenomena written by Dimo I. Uzunov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Electronic books categories.
Introduction To The Theory Of Critical Phenomena Mean Field Fluctuations And Renormalization 2nd Edition
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Author : Dimo I Uzunov
language : en
Publisher: World Scientific Publishing Company
Release Date : 2010-08-31
Introduction To The Theory Of Critical Phenomena Mean Field Fluctuations And Renormalization 2nd Edition written by Dimo I Uzunov and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-31 with Science categories.
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.
The Theory Of Critical Phenomena
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Author :
language : en
Publisher: Oxford University Press
Release Date : 1992-06-11
The Theory Of Critical Phenomena written by and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-06-11 with Science categories.
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.
Critical Dynamics
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Author : Uwe C. Täuber
language : en
Publisher: Cambridge University Press
Release Date : 2014-03-06
Critical Dynamics written by Uwe C. Täuber and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-06 with Science categories.
A comprehensive and unified introduction to describing and understanding complex interacting systems.
Field Theory The Renormalization Group And Critical Phenomena 2nd Edition
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Author : Daniel J Amit
language : en
Publisher: World Scientific Publishing Company
Release Date : 1984-08-31
Field Theory The Renormalization Group And Critical Phenomena 2nd Edition written by Daniel J Amit and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-08-31 with Critical phenomena (Physics) categories.
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.
Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 2
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Author : Yurij Holovatch
language : en
Publisher: World Scientific
Release Date : 2007-07-05
Order Disorder And Criticality Advanced Problems Of Phase Transition Theory Volume 2 written by Yurij Holovatch and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-05 with Science categories.
This book is the second volume of review papers on advanced problems of phase transitions and critical phenomena, following the success of the first volume in 2004. Broadly, the volume aims to demonstrate that the phase transition theory, which experienced its 'golden age' during the 70s and 80s, is far from over and there is still a good deal of work to be done, both at the fundamental level and in respect of applications.The topics presented in this volume include: critical behavior as explained by the non-perturbative renormalization group, critical dynamics, a spacetime approach to phase transitions, self-organized criticality, and exactly solvable models of phase transitions in strongly correlated systems. As the first volume, this book is based on the review lectures that were given in Lviv (Ukraine) at the “Ising lectures” — a traditional annual workshop on phase transitions and critical phenomena which brings together scientists working in the field with university students and those who are interested in the subject.
A Primer To The Theory Of Critical Phenomena
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Author : Jurgen M. Honig
language : en
Publisher: Elsevier
Release Date : 2016-09-01
A Primer To The Theory Of Critical Phenomena written by Jurgen M. Honig and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-01 with Science categories.
A Primer to the Theory of Critical Phenomena
The Mathematics Of Urban Morphology
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Author : Luca D'Acci
language : en
Publisher: Springer
Release Date : 2019-03-23
The Mathematics Of Urban Morphology written by Luca D'Acci and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-23 with Mathematics categories.
This edited volume provides an essential resource for urban morphology, the study of urban forms and structures, offering a much-needed mathematical perspective. Experts on a variety of mathematical modeling techniques provide new insights into specific aspects of the field, such as street networks, sustainability, and urban growth. The chapters collected here make a clear case for the importance of tools and methods to understand, model, and simulate the formation and evolution of cities. The chapters cover a wide variety of topics in urban morphology, and are conveniently organized by their mathematical principles. The first part covers fractals and focuses on how self-similar structures sort themselves out through competition. This is followed by a section on cellular automata, and includes chapters exploring how they generate fractal forms. Networks are the focus of the third part, which includes street networks and other forms as well. Chapters that examine complexity and its relation to urban structures are in part four.The fifth part introduces a variety of other quantitative models that can be used to study urban morphology. In the book’s final section, a series of multidisciplinary commentaries offers readers new ways of looking at the relationship between mathematics and urban forms. Being the first book on this topic, Mathematics of Urban Morphology will be an invaluable resource for applied mathematicians and anyone studying urban morphology. Additionally, anyone who is interested in cities from the angle of economics, sociology, architecture, or geography will also find it useful. "This book provides a useful perspective on the state of the art with respect to urban morphology in general and mathematics as tools and frames to disentangle the ideas that pervade arguments about form and function in particular. There is much to absorb in the pages that follow and thereare many pointers to ways in which these ideas can be linked to related theories of cities, urban design and urban policy analysis as well as new movements such as the role of computation in cities and the idea of the smart city. Much food for thought. Read on, digest, enjoy." From the foreword by Michael Batty
Coherent Anomaly Method
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Author : Masuo Suzuki
language : en
Publisher: World Scientific
Release Date : 1995-09-15
Coherent Anomaly Method written by Masuo Suzuki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-15 with Science categories.
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.