Physics Of Critical Fluctuations

Author : Yuli M. Ivanchenko,Alexander A. Lisyansky
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461242048

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Physics of Critical Fluctuations by Yuli M. Ivanchenko,Alexander A. Lisyansky Pdf

Building on Wilson's renormalization group, the authors have developed a unified approach that not only reproduces known results but also yields new results. A systematic exposition of the contemporary theory of phase transitions, the book includes detailed discussions of phenomena in Heisenberg magnets, granular super-conducting alloys, anisotropic systems of dipoles, and liquid-vapor transitions. Suitable for advanced undergraduates as well as graduate students in physics, the text assumes some knowledge of statistical mechanics, but is otherwise self-contained.

Author : Dimo I. Uzunov
Publisher : World Scientific
Page : 701 pages
File Size : 47,9 Mb
Release : 2010
Category : Science
ISBN : 9789814299497

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Introduction to the Theory of Critical Phenomena by Dimo I. Uzunov Pdf

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.

Author : Dimo I Uzunov
Publisher : World Scientific Publishing Company
Page : 700 pages
File Size : 40,7 Mb
Release : 2010-08-31
Category : Science
ISBN : 9789813100909

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Introduction to the Theory of Critical Phenomena by Dimo I Uzunov Pdf

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.

Author : Ronald Eric Burgess
Publisher : New York : Academic Press
Page : 412 pages
File Size : 40,8 Mb
Release : 1965
Category : Science
ISBN : UOM:39015001331563

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Fluctuation Phenomena in Solids by Ronald Eric Burgess Pdf

Author : Philippe Christe,Malte Henkel
Publisher : Springer
Page : 260 pages
File Size : 42,8 Mb
Release : 2014-08-23
Category : Science
ISBN : 3662139227

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Introduction to Conformal Invariance and Its Applications to Critical Phenomena by Philippe Christe,Malte Henkel Pdf

The history of critical phenomena goes back to the year 1869 when Andrews discovered the critical point of carbon dioxide, located at about 31°C and 73 atmospheres pressure. In the neighborhood ofthis point the carbon dioxide was observed to become opalescent, that is, light is strongly scattered. This is nowadays interpreted as comingfrom the strong fluctuations of the system close to the critical point. Subsequently, a wide varietyofphysicalsystems were realized to display critical points as well. Ofparticular importance was the observation of a critical point in ferromagnetic iron by Curie. Further examples include multicomponent fluids and alloys, superfluids, superconductors, polymers and may even extend to the quark-gluon plasmaand the early universe as a whole. Early theoretical investigationstried to reduce the problem to a very small number of degrees of freedom, such as the van der Waals equation and mean field approximations and culminating in Landau's general theory of critical phenomena. In a dramatic development, Onsager's exact solutionofthe two-dimensional Ising model made clear the important role of the critical fluctuations. Their role was taken into account in the subsequent developments leading to the scaling theories of critical phenomena and the renormalization group. These developements have achieved a precise description of the close neighborhood of the critical point and results are often in good agreement with experiments. In contrast to the general understanding a century ago, the presence of fluctuations on all length scales at a critical point is today emphasized.

Author : Igor Herbut
Publisher : Cambridge University Press
Page : 223 pages
File Size : 43,7 Mb
Release : 2007-01-04
Category : Science
ISBN : 9781139460125

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A Modern Approach to Critical Phenomena by Igor Herbut Pdf

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.

Author : T. Riste
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 46,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781461589129

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Fluctuations, Instabilities, and Phase Transitions by T. Riste Pdf

This book contains the papers presented at the NATO Advanced Study Institute held at Geilo, Norway, 11th - 20th April 1975. The institute was the third in a row devoted to phase transitions. The previous two dealt with 2nd- and 1st-order transitions in equilibrium systems and the proceedings have been published.i~ In order to make an overlap wi th those institutes, the first part of this institute was devoted to 1st -or der transitions with an emphasis on the problems of metast abi l i t y and instability en countered i n spinodal decomposition, nucleation etc. The main topic was, however, that of non-equilibrium systems, and the present institute was to our knowledge the first one devoted to the physics of such systems. The discovery of the analogy between phase transitions in equilibrium systems and instabilities in non-equilibrium systems was first made by Rolf Landauer in 1961 and later independently by others. The analogy was first pointed out for electronic devices (tunnel diodes, Gunn oscillators, lasers, etc. ) and the treatment of hydrodynamic instabilities followed later.

Author : R. Botet,Marek Ploszajczak
Publisher : World Scientific
Page : 394 pages
File Size : 42,5 Mb
Release : 2002
Category : Science
ISBN : 9810249233

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Universal Fluctuations by R. Botet,Marek Ploszajczak Pdf

The main purpose of this book is to present, in a comprehensive and progressive way, the appearance of universal limit probability laws in physics, and their connection with the recently developed scaling theory of fluctuations. Arising from the probability theory and renormalization group methods, this novel approach has been proved recently to provide efficient investigative tools for the collective features that occur in any finite system.The mathematical background is self-contained and is formulated in terms which are easy to apply to the physical context. After illustrating the problem of anomalous diffusion, the book reviews recent advances in nuclear and high energy physics, where the limit laws are now recognized as being able to classify different phases of a system undergoing the pseudo-critical behaviour. A new description of the hadronic matter in terms of the fluctuation scaling is appearing as a consequence of this approach.

Author : Edward Nelson
Publisher : Princeton University Press
Page : 158 pages
File Size : 40,6 Mb
Release : 2020-09-01
Category : Science
ISBN : 9780691218021

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Quantum Fluctuations by Edward Nelson Pdf

Stochastic mechanics is a description of quantum phenomena in classical probabilistic terms. This work contains a detailed account of the kinematics of diffusion processes, including diffusions on curved manifolds which are necessary for the treatment of spin in stochastic mechanics. The dynamical equations of the theory are derived from a variational principle, and interference, the asymptotics of free motion, bound states, statistics, and spin are described in classical terms. In addition to developing the formal mathematical aspects of the theory, the book contains discussion of possible physical causes of quantum fluctuations in terms of an interaction with a background field. The author gives a critical analysis of stochastic mechanics as a candidate for a realistic theory of physical processes, discussing measurement, local causality in the sense of Bell, and the failure of the theory in its present form to satisfy locality.

Author : J. J. Binney,N. J. Dowrick,A. J. Fisher,M. E. J. Newman
Publisher : Oxford University Press
Page : 477 pages
File Size : 47,5 Mb
Release : 1992-06-11
Category : Science
ISBN : 9780191660566

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The Theory of Critical Phenomena by J. J. Binney,N. J. Dowrick,A. J. Fisher,M. E. J. Newman Pdf

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.

Author : Anonim
Publisher : Elsevier
Page : 517 pages
File Size : 53,7 Mb
Release : 2000-09-21
Category : Science
ISBN : 9780080538761

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Phase Transitions and Critical Phenomena by Anonim Pdf

The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results. It has moved into a central place in condensed matter studies.Statistical physics, and more specifically, the theory of transitions between states of matter, more or less defines what we know about 'everyday' matter and its transformations.The major aim of this serial is to provide review articles that can serve as standard references for research workers in the field, and for graduate students and others wishing to obtain reliable information on important recent developments.

Author : Jurgen M. Honig,Jozef Spalek
Publisher : Elsevier
Page : 254 pages
File Size : 54,8 Mb
Release : 2018-02-05
Category : Science
ISBN : 9780128048368

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A Primer to the Theory of Critical Phenomena by Jurgen M. Honig,Jozef Spalek Pdf

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

Author : Anatoly Larkin,Andrei Varlamov
Publisher : OUP Oxford
Page : 432 pages
File Size : 47,9 Mb
Release : 2005-01-13
Category : Science
ISBN : 9780191523700

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Theory of Fluctuations in Superconductors by Anatoly Larkin,Andrei Varlamov Pdf

This book presents a complete encyclopedia of superconducting fluctuations, summarising the last thirty-five years of work in the field. The first part of the book is devoted to an extended discussion of the Ginzburg-Landau phenomenology of fluctuations in its thermodynamical and time-dependent versions and its various applications. The second part deals with microscopic justification of the Ginzburg-Landau approach and presents the diagrammatic theory of fluctuations. The third part is devoted to a less-detailed review of the manifestation of fluctuations in observables: diamagnetism, magnetoconductivity, various tunneling characteristics, thermoelectricity, and NMR relaxation. The final chapters turn to the manifestation of fluctuations in unconventional superconducting systems: nanodrops, nanorings, Berezinsky-Kosterlitz-Thouless state, quantum phase transition between superconductor and insulator, and thermal and quantum fluctuations in weak superconducting systems. The book ends with a brief discussion on theories of high temperature superconductivity, where fluctuations appear as the possible protagonist of this exciting phenomenon.

Author : Harley Scammell
Publisher : Springer
Page : 165 pages
File Size : 52,9 Mb
Release : 2018-08-28
Category : Science
ISBN : 9783319975320

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Interplay of Quantum and Statistical Fluctuations in Critical Quantum Matter by Harley Scammell Pdf

This book explores critical phenomena in highly correlated quantum matter. Specifically, quantum antiferromagnets, magnon Bose condensates, and systems exhibiting deconfined quantum criticality are considered. The book’s main achievement is the incorporation of both quantum and statistical fluctuations into a quantum field theoretic treatment of critical phenomena. This yields significant new insights into an abundance of problems, positions them in a much more general context, and offers an unprecedented power to analyze experimental and numerical data and predict new effects. Further, a major result and overarching theme is the exploration of the scale-dependent coupling constant – an effect known in quantum chromodynamics as “asymptotic freedom.” The book provides the first analysis to reveal asymptotic freedom in the quantum magnetism context, and discusses many other manifestations. Another significant result concerns the development of a consistent theoretical framework that resolves a long-standing inconsistency in the theory of Bose condensation. Using the approach developed here, two new universality classes are subsequently identified. A final major result addresses the exotic scenario of deconfined quantum criticality. Within this framework, the book predicts the Bose condensation of particles with half-integer spin – the first- ever made in this regard. In closing, a smoking gun criterion to test for this exotic condensate is established.

Author : Gene Mazenko
Publisher : Wiley-VCH
Page : 704 pages
File Size : 44,9 Mb
Release : 2003-02-21
Category : Mathematics
ISBN : UOM:39015056679361

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Fluctuations, Order, and Defects by Gene Mazenko Pdf

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