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Modern Theory of Critical Phenomena

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Author :
Release : 1976
Genre : Critical phenomena (Physics)
Kind : eBook
Book Rating : 864/5 ( reviews)

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Book Synopsis Modern Theory of Critical Phenomena by : Shang-Keng Ma

Download or read book Modern Theory of Critical Phenomena written by Shang-Keng Ma. This book was released on 1976. Available in PDF, EPUB and Kindle. Book excerpt:

A Modern Approach to Critical Phenomena

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Author :
Release : 2007-01-04
Genre : Science
Kind : eBook
Book Rating : 129/5 ( reviews)

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Book Synopsis A Modern Approach to Critical Phenomena by : Igor Herbut

Download or read book A Modern Approach to Critical Phenomena written by Igor Herbut. This book was released on 2007-01-04. Available in PDF, EPUB and Kindle. Book excerpt: 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 Critical Point

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Author :
Release : 1996-02-20
Genre : Science
Kind : eBook
Book Rating : 261/5 ( reviews)

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Book Synopsis The Critical Point by : C Domb

Download or read book The Critical Point written by C Domb. This book was released on 1996-02-20. Available in PDF, EPUB and Kindle. Book excerpt: The relationship between liquids and gases engaged the attention of a number of distinguished scientists in the mid 19th Century. In a definitive paper published in 1869, Thomas Andrews described experiments he performed on carbon dioxide and from which he concluded that a critical temperature exists below which liquids and gases are distinct phase

The Theory of Critical Phenomena

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Author :
Release : 1992-06-11
Genre : Science
Kind : eBook
Book Rating : 566/5 ( reviews)

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Book Synopsis The Theory of Critical Phenomena by : J. J. Binney

Download or read book The Theory of Critical Phenomena written by J. J. Binney. This book was released on 1992-06-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory Of Critical Phenomena In Finite-size Systems: Scaling And Quantum Effects

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Release : 2000-08-21
Genre : Science
Kind : eBook
Book Rating : 569/5 ( reviews)

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Book Synopsis Theory Of Critical Phenomena In Finite-size Systems: Scaling And Quantum Effects by : Jordan G Brankov

Download or read book Theory Of Critical Phenomena In Finite-size Systems: Scaling And Quantum Effects written by Jordan G Brankov. This book was released on 2000-08-21. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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