Critical Phenomena In Natural Sciences

Author : Didier Sornette
Publisher : Springer Science & Business Media
ISBN 13 : 366204174X
Total Pages : 445 pages
Book Rating : 4.41/5 ( download)

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Download or read book Critical Phenomena in Natural Sciences written by Didier Sornette and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern up-to-date introduction for readers outside statistical physics. It puts emphasis on a clear understanding of concepts and methods and provides the tools that can be of immediate use in applications.

Author : C Domb
Publisher : CRC Press
ISBN 13 : 9780367401382
Total Pages : 394 pages
Book Rating : 4.8X/5 ( download)

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Download or read book The Critical Point written by C Domb and published by CRC Press. This book was released on 2019-08-30 with total page 394 pages. 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 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

Author : Hidetoshi Nishimori
Publisher : Oxford University Press
ISBN 13 : 0199577226
Total Pages : 373 pages
Book Rating : 4.24/5 ( download)

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Download or read book Elements of Phase Transitions and Critical Phenomena written by Hidetoshi Nishimori and published by Oxford University Press. This book was released on 2011 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jean Zinn-Justin
Publisher : Oxford University Press
ISBN 13 : 0198834624
Total Pages : 1074 pages
Book Rating : 4.25/5 ( download)

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Download or read book Quantum Field Theory and Critical Phenomena written by Jean Zinn-Justin and published by Oxford University Press. This book was released on 2021 with total page 1074 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamics has been the first example of a Quantum Field Theory (QFT). Eventually, QFT has become the framework for the discussion of all fundamental interactions at the microscopic scale except, possibly, gravity. More surprisingly, it has also provided a framework for the understanding of second order phase transitions in statistical mechanics. As this work illustrates, QFT is the natural framework for the discussion of most systems involving an infinite number of degrees of freedom with local couplings. These systems range from cold Bose gases at the condensation temperature (about ten nanokelvin) to conventional phase transitions (from a few degrees to several hundred) and high energy particle physics up to a TeV, altogether more than twenty orders of magnitude in the energy scale. Therefore, this text sets out to present a work in which the strong formal relations between particle physics and the theory of critical phenomena are systematically emphasized. This option explains some of the choices made in the presentation. A formulation in terms of field integrals has been adopted to study the properties of QFT. The language of partition and correlation functions has been used throughout, even in applications of QFT to particle physics. Renormalization and renormalization group properties are systematically discussed. The notion of effective field theory and the emergence of renormalisable theories are described. The consequences for fine tuning and triviality issue are emphasized. This fifth edition has been updated and fully revised, e.g. in particle physics with progress in neutrino physics and the discovery of the Higgs boson. The presentation has been made more homogeneous througout the volume, and emphasis has been put on the notion of effective field theory and discussion of the emergence of renormalisable theories.

Author : Duncan J. Watts
Publisher : W. W. Norton & Company
ISBN 13 : 0393325423
Total Pages : 376 pages
Book Rating : 4.23/5 ( download)

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Download or read book Six Degrees: The Science of a Connected Age written by Duncan J. Watts and published by W. W. Norton & Company. This book was released on 2004-01-27 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Watts, one of the principal architects of network theory, sets out to explain the innovative research that he and other scientists are spearheading to create a blueprint of this connected planet.

Author : Dimo I. Uzunov
Publisher : World Scientific
ISBN 13 : 9814299499
Total Pages : 701 pages
Book Rating : 4.97/5 ( download)

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Download or read book Introduction to the Theory of Critical Phenomena written by Dimo I. Uzunov and published by World Scientific. This book was released on 2010 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Jean Zinn-Justin
Publisher : Oxford University Press
ISBN 13 : 0192571613
Total Pages : 1100 pages
Book Rating : 4.18/5 ( download)

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Download or read book Quantum Field Theory and Critical Phenomena written by Jean Zinn-Justin and published by Oxford University Press. This book was released on 2021-04-15 with total page 1100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamics has been the first example of a Quantum Field Theory (QFT). Eventually, QFT has become the framework for the discussion of all fundamental interactions at the microscopic scale except, possibly, gravity. More surprisingly, it has also provided a framework for the understanding of second order phase transitions in statistical mechanics. As this work illustrates, QFT is the natural framework for the discussion of most systems involving an infinite number of degrees of freedom with local couplings. These systems range from cold Bose gases at the condensation temperature (about ten nanokelvin) to conventional phase transitions (from a few degrees to several hundred) and high energy particle physics up to a TeV, altogether more than twenty orders of magnitude in the energy scale. Therefore, this text sets out to present a work in which the strong formal relations between particle physics and the theory of critical phenomena are systematically emphasized. This option explains some of the choices made in the presentation. A formulation in terms of field integrals has been adopted to study the properties of QFT. The language of partition and correlation functions has been used throughout, even in applications of QFT to particle physics. Renormalization and renormalization group properties are systematically discussed. The notion of effective field theory and the emergence of renormalisable theories are described. The consequences for fine tuning and triviality issue are emphasized. This fifth edition has been updated and fully revised, e.g. in particle physics with progress in neutrino physics and the discovery of the Higgs boson. The presentation has been made more homogeneous througout the volume, and emphasis has been put on the notion of effective field theory and discussion of the emergence of renormalisable theories.

Author : Per Bak
Publisher : Springer Science & Business Media
ISBN 13 : 1475754264
Total Pages : 229 pages
Book Rating : 4.61/5 ( download)

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Download or read book How Nature Works written by Per Bak and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-organized criticality, the spontaneous development of systems to a critical state, is the first general theory of complex systems with a firm mathematical basis. This theory describes how many seemingly desperate aspects of the world, from stock market crashes to mass extinctions, avalanches to solar flares, all share a set of simple, easily described properties. "...a'must read'...Bak writes with such ease and lucidity, and his ideas are so intriguing...essential reading for those interested in complex systems...it will reward a sufficiently skeptical reader." -NATURE "...presents the theory (self-organized criticality) in a form easily absorbed by the non-mathematically inclined reader." -BOSTON BOOK REVIEW "I picture Bak as a kind of scientific musketeer; flamboyant, touchy, full of swagger and ready to join every fray... His book is written with panache. The style is brisk, the content stimulating. I recommend it as a bracing experience." -NEW SCIENTIST

Author : Francis Bailly
Publisher : World Scientific
ISBN 13 : 1848166931
Total Pages : 337 pages
Book Rating : 4.36/5 ( download)

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Download or read book Mathematics and the Natural Sciences written by Francis Bailly and published by World Scientific. This book was released on 2011 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims at the identification of the organising concepts of some physical and biological phenomena, by means of an analysis of the foundations of mathematics and of physics. This is done in the perspective of unifying phenomena, of bringing different conceptual universes into dialog. The analysis of the role of “order” and of symmetries in the foundations of mathematics is linked to the main invariants and principles, among which the geodesic principle (a consequence of symmetries), which govern and confer unity to the various physical theories. Moreover, we attempt to understand causal structures, a central element of physical intelligibility, in terms of symmetries and their breakings. The importance of the mathematical tool is also highlighted, enabling us to grasp the differences in the models for physics and biology which are proposed by continuous and discrete mathematics, such as computational simulations. A distinction between principles of (conceptual) construction and principles of proofs, both in physics and in mathematics, guides this part of the work.As for biology, being particularly difficult and not as thoroughly examined at a theoretical level, we propose a “unification by concepts”, an attempt which should always precede mathematisation. This constitutes an outline for unification also basing itself upon the highlighting of conceptual differences, of complex points of passage, of technical irreducibilities of one field to another. Indeed, a monist point of view such as ours should not make us blind: we, the living objects, are surely just big bags of molecules or, at least, this is our main metaphysical assumption. The point though is: which theory can help us to better understand these bags of molecules, as they are, indeed, rather “singular”, from the physical point of view. Technically, this singularity is expressed by the notion of “extended criticality”, a notion that logically extends the pointwise critical transitions in physics.

Author : Holovatch Yurij
Publisher : World Scientific
ISBN 13 : 9813232110
Total Pages : 412 pages
Book Rating : 4.12/5 ( download)

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Download or read book Order, Disorder And Criticality - Advanced Problems Of Phase Transition Theory - written by Holovatch Yurij and published by World Scientific. This book was released on 2017-12-28 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the fifth volume of papers on advanced problems of phase transitions and critical phenomena, the first four volumes appeared in 2004, 2007, 2012, and 2015. It aims to compile reviews in those aspects of criticality and related subjects that are of current interest. The seven chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study. As the first four volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the "Ising lectures" — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the subject. Contents: Statistical Properties of One-Dimensional Directed Polymers in a Random Potential (V Dotsenko)Non-Euclidean Geometry in Nature (S Nechaev)Dynamics of Polymers: Classic Results and Recent Developments (M V Tamm and K Polovnikov)Generalized Ensemble Computer Simulations of Macromolecules (W Janke)Photo-Controllable Networks in Macromolecular Solutions and Blends (J M Ilnytskyi)Monte Carlo Methods for Massively Parallel Computers (M Weigel)Complex Networks and Infrastructural Grids (A Scala) Readership: Advanced undergraduates and graduate students, researchers and scientists interested in phase transitions and critical phenomena. Keywords: Phase Transitions;Criticality;Scaling;Complex SystemsReview:0