Critical Phenomena in Natural Sciences

Critical Phenomena in Natural Sciences PDF Author: Didier Sornette
Publisher: Springer Science & Business Media
ISBN: 366204174X
Category : Science
Languages : en
Pages : 445

Book Description
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.

A Modern Approach to Critical Phenomena

A Modern Approach to Critical Phenomena PDF Author: Igor Herbut
Publisher: Cambridge University Press
ISBN: 1139460129
Category : Science
Languages : en
Pages : 223

Book Description
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.

Elements of Phase Transitions and Critical Phenomena

Elements of Phase Transitions and Critical Phenomena PDF Author: Hidetoshi Nishimori
Publisher: Oxford University Press
ISBN: 0199577226
Category : Science
Languages : en
Pages : 373

Book Description
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.

Quantum Field Theory and Critical Phenomena

Quantum Field Theory and Critical Phenomena PDF Author: Jean Zinn-Justin
Publisher: Oxford University Press
ISBN: 0198834624
Category : Science
Languages : en
Pages : 1074

Book Description
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.

The Critical Point

The Critical Point PDF Author: C Domb
Publisher: CRC Press
ISBN: 1482295261
Category : Science
Languages : en
Pages : 395

Book Description
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

Six Degrees: The Science of a Connected Age

Six Degrees: The Science of a Connected Age PDF Author: Duncan J. Watts
Publisher: W. W. Norton & Company
ISBN: 0393325423
Category : Business & Economics
Languages : en
Pages : 376

Book Description
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.

Statistical Physics of Non-Thermal Phase Transitions

Statistical Physics of Non-Thermal Phase Transitions PDF Author: Sergey G. Abaimov
Publisher: Springer
ISBN: 3319124692
Category : Science
Languages : en
Pages : 504

Book Description
This book addresses the application of methods used in statistical physics to complex systems—from simple phenomenological analogies to more complex aspects, such as correlations, fluctuation-dissipation theorem, the concept of free energy, renormalization group approach and scaling. Statistical physics contains a well-developed formalism that describes phase transitions. It is useful to apply this formalism for damage phenomena as well. Fractals, the Ising model, percolation, damage mechanics, fluctuations, free energy formalism, renormalization group, and scaling, are some of the topics covered in Statistical Physics of Phase Transitions.

Encyclopedia of Nonlinear Science

Encyclopedia of Nonlinear Science PDF Author: Alwyn Scott
Publisher: Routledge
ISBN: 1135455589
Category : Reference
Languages : en
Pages : 1107

Book Description
In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

Extreme Natural Hazards, Disaster Risks and Societal Implications

Extreme Natural Hazards, Disaster Risks and Societal Implications PDF Author: Alik Ismail-Zadeh
Publisher: Cambridge University Press
ISBN: 1107033861
Category : Nature
Languages : en
Pages : 431

Book Description
A unique interdisciplinary approach to disaster risk research, including global hazards and case-studies, for researchers, graduate students and professionals.

Governance and Control of Financial Systems

Governance and Control of Financial Systems PDF Author: Gunilla Sundström
Publisher: CRC Press
ISBN: 1317126017
Category : Technology & Engineering
Languages : en
Pages : 211

Book Description
The recent financial crisis has made it paramount for the financial services industry to find new perspectives to look at their industry and, most importantly, to gain a better understanding of how the global financial system can be made less vulnerable and more resilient. The primary objective of this book is to illustrate how the safety science of Resilience Engineering can help to gain a better understanding of what the financial services system is and how to improve governance and control of financial services systems by leveraging some of its key concepts. Resilience is the intrinsic ability of a system to adjust its functioning prior to, during, or following changes and disturbances, so that it can sustain required operations under both expected and unexpected conditions. This definition is focused on the ability to function, rather than just to be impervious to failure, and thereby bridges the traditional conflict between productivity and safety. The core concept of the book is that the behaviour of the financial services system is the result of the tight couplings among the humans, organizations and technologies that are necessary to provide complex financial functions such as the transfer of economic resources. It is a consequence of this perspective that the risks associated with these systems cannot be understood without considering the nature of these tight couplings. Adopting this perspective, the book is designed to provide some answers to the following key questions about the financial crisis: - What actually happened? - Why and how did it happen? - Could something similar happen again? How can we see that in time and how can we control it? - How can sustainable recovery of the global financial system be established? How can its resilience be improved?
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