modern theory of critical phenomena advanced books classics

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Modern Theory Of Critical Phenomena

Author : Shang-keng Ma
ISBN : 9780429978517
Genre : Social Science
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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.

The Critical Point

Author : C Domb
ISBN : 9781482295269
Genre : Science
File Size : 83. 9 MB
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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 phases of matter, but above which they merge into a single fluid phase. During the years which followed, other natural phenomena were discovered to which the same critical point description can be applied - such as ferromagnetism and solutions. This book provides an historical account of theoretical explanations of critical phenomena which ultimately led to a major triumph of statistical mechanics in the 20th Century - with the award of the Nobel Prize for Physics

Critical Phenomena In Liquids And Liquid Crystals

Author : Mikhail Alekseevich Anisimov
ISBN : 2881248063
Genre : Science
File Size : 37. 81 MB
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Phase transitions and critical phenomena in liquids and liquid crystals have been the subject of intensive research since the 1960s. However, books on this fascinating subject have tended to be written by theorists for theorists. Professor Anisimov offers us a new approach: he aims to introduce experimentalists to the modern theories and their applications. After introducing the thermodynamics of phase transitions, he presents the modern theory of critical phenomena. He then concludes by illustrating the utility of this theory in the analysis of experimental measurements in classical fluids and binary mixtures, superfluid mixtures of helium isotopes and liquid crystals. Not only will this book be enjoyed by experimental physicists, chemists and material scientists, it will also offer the theorist an insight into the interpretation of the experimentalist's work.

Introduction To Phase Transitions And Critical Phenomena

Author : Harry Eugene Stanley
ISBN : 0195053168
Genre : Literary Criticism
File Size : 78. 88 MB
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The book is at the level at which a graduate student who has studied condensed matter physics can begin to comprehend the nature of phase transitions, which involve the transformation of one state of matter into another. (A simple example is the melting of a solid to become a liquid.) Such a transformation is termed 'critical' when, after a certain amount of the substance changes phase, the entire bulk virtually instantaneously also makes the transition. A second, updated edition is planned for future publication, but in the mean time this paperback reissue will be useful in teaching the fundamental principles of this extremely interesting subject.

Theory Of Critical Phenomena In Finite Size Systems

Author : Jordan G Brankov
ISBN : 9789814494564
Genre : Science
File Size : 25. 43 MB
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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

Lectures On Phase Transitions And The Renormalization Group

Author : Nigel Goldenfeld
ISBN : 9780429973123
Genre : Science
File Size : 87. 37 MB
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Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.

Elements Of Phase Transitions And Critical Phenomena

Author : Hidetoshi Nishimori
ISBN : 9780199577224
Genre : Science
File Size : 38. 15 MB
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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.

Scaling And Renormalization In Statistical Physics

Author : John Cardy
ISBN : 0521499593
Genre : Science
File Size : 83. 78 MB
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A thoroughly modern graduate-level introduction to the theory of critical behaviour. Covers phase transitions, mean field theory, phase diagrams, fixed points, cross-over behaviour, finite-size scaling, a simple approach to the epsilon expansion, low-dimensional systems, surface critical behaviour, random systems, percolation, polymer statistics, critical dynamics and conformal symmetry. Includes many problems.

Quantum Statistical Mechanics

Author : Leo P. Kadanoff
ISBN : 9780429972843
Genre : Science
File Size : 55. 31 MB
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Green's Function Methods in Equilibrium and Nonequilibrium Problems

Conformal Field Theory And Critical Phenomena In Two Dimensional Systems

Author : A.B. Zamolodchikov
ISBN : 3718648636
Genre : Science
File Size : 20. 93 MB
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