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Introduction To The Theory Of Critical Phenomena Mean Field Fluctuations And Renormalization


Introduction To The Theory Of Critical Phenomena Mean Field Fluctuations And Renormalization
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Introduction To The Theory Of Critical Phenomena


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


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


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


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.



A Primer To The Theory Of Critical Phenomena


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



Theory Of Critical Phenomena In Finite Size Systems


Theory Of Critical Phenomena In Finite Size Systems
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Author : ?ordan Brankov
language : en
Publisher: World Scientific
Release Date : 2000

Theory Of Critical Phenomena In Finite Size Systems written by ?ordan Brankov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.


The aim of this book is to familiarise the reader with the rich collection of ideas, methods and results available in the theory of critical phenomena in systems with confined geometry. The existence of universal features of the finite-size effects arising due to highly correlated classical or quantum fluctuations is explained by the finite-size scaling theory. This theory (1) offers an interpretation of experimental results on finite-size effects in real systems; (2) gives the most reliable tool for extrapolation to the thermodynamic limit of data obtained by computer simulations; (3) reveals the intimate mechanism of how the critical singularities build up in the thermodynamic limit; and (4) can be fruitfully used to explain the low-temperature behaviour of quantum critical systems. The exposition is given in a self-contained form which presumes the reader's knowledge only in the framework of standard courses on the theory of phase transitions and critical phenomena. The instructive role of simple models, both classical and quantum, is demonstrated by putting the accent on the derivation of rigorous and exact analytical results.



Principles Of Condensed Matter Physics


Principles Of Condensed Matter Physics
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Author : P. M. Chaikin
language : en
Publisher: Cambridge University Press
Release Date : 2000-09-28

Principles Of Condensed Matter Physics written by P. M. Chaikin 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 2000-09-28 with Science categories.


Now in paperback, this book provides an overview of the physics of condensed matter systems. Assuming a familiarity with the basics of quantum mechanics and statistical mechanics, the book establishes a general framework for describing condensed phases of matter, based on symmetries and conservation laws. It explores the role of spatial dimensionality and microscopic interactions in determining the nature of phase transitions, as well as discussing the structure and properties of materials with different symmetries. Particular attention is given to critical phenomena and renormalization group methods. The properties of liquids, liquid crystals, quasicrystals, crystalline solids, magnetically ordered systems and amorphous solids are investigated in terms of their symmetry, generalised rigidity, hydrodynamics and topological defect structure. In addition to serving as a course text, this book is an essential reference for students and researchers in physics, applied physics, chemistry, materials science and engineering, who are interested in modern condensed matter physics.



Scaling And Renormalization In Statistical Physics


Scaling And Renormalization In Statistical Physics
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Author : John Cardy
language : en
Publisher: Cambridge University Press
Release Date : 1996-04-26

Scaling And Renormalization In Statistical Physics written by John Cardy 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 1996-04-26 with Science categories.


This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. It begins with a brief review of phase transitions in simple systems, then goes on to introduce the core ideas of the renormalisation group.



Critical Dynamics


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.



Fundamentals Of Condensed Matter And Crystalline Physics


Fundamentals Of Condensed Matter And Crystalline Physics
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Author : David L. Sidebottom
language : en
Publisher: Cambridge University Press
Release Date : 2012-07-05

Fundamentals Of Condensed Matter And Crystalline Physics written by David L. Sidebottom 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 2012-07-05 with Science categories.


This undergraduate textbook merges traditional solid state physics with contemporary condensed matter physics, providing an up-to-date introduction to the major concepts that form the foundations of condensed materials. The main foundational principles are emphasized, providing students with the knowledge beginners in the field should understand. The book is structured in four parts and allows students to appreciate how the concepts in this broad area build upon each other to produce a cohesive whole as they work through the chapters. Illustrations work closely with the text to convey concepts and ideas visually, enhancing student understanding of difficult material, and end-of-chapter exercises varying in difficulty allow students to put into practice the theory they have covered in each chapter and reinforce new concepts.