The Theory Of Critical Phenomena

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The Theory Of Critical Phenomena

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Author : J. J. Binney
language : en
Publisher: Oxford University Press
Release Date : 1992-06-11

The Theory Of Critical Phenomena written by J. J. Binney 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.

Modern Theory Of Critical Phenomena

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Author : Shang-keng Ma
language : en
Publisher: Routledge
Release Date : 2018-05-04

Modern Theory Of Critical Phenomena written by Shang-keng Ma and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Social Science categories.

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.

A Primer To The Theory Of Critical Phenomena

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Author : Jurgen M. Honig
language : en
Publisher: Elsevier
Release Date : 2018-02-05

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 2018-02-05 with Science categories.

A Primer to the Theory of Critical Phenomena provides scientists in academia and industry, as well as graduate students in physics, chemistry, and geochemistry with the scientific fundamentals of critical phenomena and phase transitions. The book helps readers broaden their understanding of a field that has developed tremendously over the last forty years. The book also makes a great resource for graduate level instructors at universities. Provides a thorough and accessible treatment of the fundamentals of critical phenomena Offers an in-depth exposition on renormalization and field theory techniques Includes experimental observations of critical effects Includes live examples illustrating the applications of the theoretical material

The Theory Of Critical Phenomena

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Author :
language : en
Publisher:
Release Date : 1999

The Theory Of Critical Phenomena written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.

Introduction To The Theory Of Critical Phenomena

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Author : Dimo I. Uzunov
language : en
Publisher: World Scientific
Release Date : 2010

Introduction To The Theory Of Critical Phenomena written by Dimo 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 2010 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.

Introduction To The Theory Of Critical Phenomena

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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 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.

A Modern Approach To Critical Phenomena

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Author : Igor Herbut
language : en
Publisher: Cambridge University Press
Release Date : 2007-01-04

A Modern Approach To Critical Phenomena written by Igor Herbut 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 2007-01-04 with Science categories.

Critical phenomena is one of the most exciting areas of modern physics. This 2007 book provides a thorough but economic introduction into the principles and techniques of the theory of critical phenomena and the renormalization group, from the perspective of modern condensed matter physics. Assuming basic knowledge of quantum and statistical mechanics, the book discusses phase transitions in magnets, superfluids, superconductors, and gauge field theories. Particular attention is given to topics such as gauge field fluctuations in superconductors, the Kosterlitz-Thouless transition, duality transformations, and quantum phase transitions - all of which are at the forefront of physics research. This book contains numerous problems of varying degrees of difficulty, with solutions. These problems provide readers with a wealth of material to test their understanding of the subject. It is ideal for graduate students and more experienced researchers in the fields of condensed matter physics, statistical physics, and many-body physics.

The Theory Of Critical Phenomena

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Author : James Binney
language : en
Publisher:
Release Date : 2023

The Theory Of Critical Phenomena written by James Binney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Critical phenomena (Physics) categories.

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.

Modern Theory Of Critical Phenomena

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Author : Shanggeng Ma
language : en
Publisher:
Release Date : 1976

Modern Theory Of Critical Phenomena written by Shanggeng Ma and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Critical phenomena (Physics) categories.

Theory Of Critical Phenomena In Finite Size Systems

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Author : Jordan G Brankov
language : en
Publisher: World Scientific
Release Date : 2000-08-21

Theory Of Critical Phenomena In Finite Size Systems written by Jordan G 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 2000-08-21 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. Contents:Overview of Critical Phenomena in Bulk SystemsThe Approximating Hamiltonian MethodExactly Solved ModelsFinite-Size Scaling at CriticalityLong-Range InteractionsModified Finite-Size ScalingBoundary EffectsFinite-Size Scaling at First Order TransitionsLimit Gibbs States and Finite-Size ScalingBulk Quantum SystemsThe Casimir EffectSurvey of Results on the Casimir Effect Readership: Graduate students and researchers in theoretical and condensed matter physics. Keywords:Phase Transition;Critical Phenomena;Finite Size Scaling;Quantum Phase TransitionsReviews: “… this book offers a careful survey of finite-size scaling near bulk phase transitions …” Journal of Statistical Physics “The book is a very comprehensive and detailed account of this field … I have found the final section on the Casimir effect particularly interesting. It is very well written and detailed … I recommend it to serious students of critical phenomena and condensed matter, but those who already have the basic knowledge of the theory of phase transitions.” Contemporary Physics