Scale Invariance And Beyond
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Scale Invariance And Beyond
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Author : B. Dubrulle
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-09
Scale Invariance And Beyond written by B. Dubrulle and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-09 with Science categories.
This book is an excellent introduction to the concept of scale invariance, which is a growing field of research with wide applications. It describes where and how symmetry under scale transformation (and its various forms of partial breakdown) can be used to analyze solutions of a problem without the need to explicitly solve it. The first part gives descriptions of tools and concepts; the second is devoted to recent attempts to go beyond the invariance or symmetry breaking, to discuss causes and consequences, and to extract useful information about the system. Examples are carefully worked out in fields as diverse as condensed matter physics, population dynamics, earthquake physics, turbulence, cosmology and finance.
Scale Invariance And Beyond
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Author : B. Dubrulle
language : en
Publisher:
Release Date : 1997
Scale Invariance And Beyond written by B. Dubrulle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Fractals categories.
Scale Invariance
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Author : Richard N. Henriksen
language : en
Publisher: John Wiley & Sons
Release Date : 2015-04-23
Scale Invariance written by Richard N. Henriksen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-23 with Science categories.
Bringing the concepts of dimensional analysis, self-similarity, and fractal dimensions together in a logical and self-contained manner, this book reveals the close links between modern theoretical physics and applied mathematics. The author focuses on the classic applications of self-similar solutions within astrophysical systems, with some general theory of self-similar solutions, so as to provide a framework for researchers to apply the principles across all scientific disciplines. He discusses recent advances in theoretical techniques of scaling while presenting a uniform technique that encompasses these developments, as well as applications to almost any branch of quantitative science. The result is an invaluable reference for active scientists, featuring examples of dimensions and scaling in condensed matter physics, astrophysics, fluid mechanics, and general relativity, as well as in mathematics and engineering.
Dimensional Analysis Beyond The Pi Theorem
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Author : Bahman Zohuri
language : en
Publisher: Springer
Release Date : 2016-11-02
Dimensional Analysis Beyond The Pi Theorem written by Bahman Zohuri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-02 with Technology & Engineering categories.
Dimensional Analysis and Physical Similarity are well understood subjects, and the general concepts of dynamical similarity are explained in this book. Our exposition is essentially different from those available in the literature, although it follows the general ideas known as Pi Theorem. There are many excellent books that one can refer to; however, dimensional analysis goes beyond Pi theorem, which is also known as Buckingham’s Pi Theorem. Many techniques via self-similar solutions can bound solutions to problems that seem intractable. A time-developing phenomenon is called self-similar if the spatial distributions of its properties at different points in time can be obtained from one another by a similarity transformation, and identifying one of the independent variables as time. However, this is where Dimensional Analysis goes beyond Pi Theorem into self-similarity, which has represented progress for researchers. In recent years there has been a surge of interest in self-similar solutions of the First and Second kind. Such solutions are not newly discovered; they have been identified and named by Zel’dovich, a famous Russian Mathematician in 1956. They have been used in the context of a variety of problems, such as shock waves in gas dynamics, and filtration through elasto-plastic materials. Self-Similarity has simplified computations and the representation of the properties of phenomena under investigation. It handles experimental data, reduces what would be a random cloud of empirical points to lie on a single curve or surface, and constructs procedures that are self-similar. Variables can be specifically chosen for the calculations.
Beyond Spacetime
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Author : Nick Huggett
language : en
Publisher: Cambridge University Press
Release Date : 2020-05-14
Beyond Spacetime written by Nick Huggett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-14 with Philosophy categories.
A collection of essays discussing the philosophy and foundations of quantum gravity. Written by leading philosophers and physicists in the field, chapters cover the important conceptual questions in the search for a quantum theory of gravity, and the current state of understanding among philosophers and physicists.
Beyond Traditional Probabilistic Data Processing Techniques Interval Fuzzy Etc Methods And Their Applications
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Author : Olga Kosheleva
language : en
Publisher: Springer Nature
Release Date : 2020-02-28
Beyond Traditional Probabilistic Data Processing Techniques Interval Fuzzy Etc Methods And Their Applications written by Olga Kosheleva and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-28 with Computers categories.
Data processing has become essential to modern civilization. The original data for this processing comes from measurements or from experts, and both sources are subject to uncertainty. Traditionally, probabilistic methods have been used to process uncertainty. However, in many practical situations, we do not know the corresponding probabilities: in measurements, we often only know the upper bound on the measurement errors; this is known as interval uncertainty. In turn, expert estimates often include imprecise (fuzzy) words from natural language such as "small"; this is known as fuzzy uncertainty. In this book, leading specialists on interval, fuzzy, probabilistic uncertainty and their combination describe state-of-the-art developments in their research areas. Accordingly, the book offers a valuable guide for researchers and practitioners interested in data processing under uncertainty, and an introduction to the latest trends and techniques in this area, suitable for graduate students.
Axial Shift
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Author : Benjamen Gussen
language : en
Publisher: Springer
Release Date : 2019-05-17
Axial Shift written by Benjamen Gussen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-17 with Law categories.
This book uses historical analysis, constitutional economics, and complexity theory to furnish an account of city subsidiarity as a legal, ethical, political, and economic principle. The book contemplates subsidiarity as a constitutional principle, where cities would benefit from much wider local autonomy. Constitutional economics suggests an optimal limit to jurisdictional footprints (territories). This entails preference for political orders where sovereignty is shared between different cities rather states where capital cities dominate. The introduction of city subsidiarity as a constitutional principle holds the key to economic prosperity in a globalizing world. Moreover, insights from complexity theory suggest subsidiarity is the only effective response to the ‘problem of scale.’ It is a fitness trait that prevents highly complex systems from collapsing. The nation-state is a highly complex system within which cities function as ‘attractors.’ The collapse of such systems would ensue if there were strong coupling between attractors. Such coupling obtains under legal monism. Only subsidiarity can make the eventuality of collapse improbable. The emergent and self-organizing properties of subsidiarity entail a shift in policy emphasis towards cities with a wide margin of autonomy.
Beyond Einstein
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Author : David E. Rowe
language : en
Publisher: Birkhäuser
Release Date : 2018-06-18
Beyond Einstein written by David E. Rowe and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-18 with Mathematics categories.
Beyond Einstein: Perspectives on Geometry, Gravitation, and Cosmology explores the rich interplay between mathematical and physical ideas by studying the interactions of major actors and the roles of important research communities over the course of the last century.
Beyond The Standard Model Cocktail
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Author : Yann Gouttenoire
language : en
Publisher: Springer Nature
Release Date : 2023-01-01
Beyond The Standard Model Cocktail written by Yann Gouttenoire and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Science categories.
This book provides a remarkable and complete survey of important questions at the interface between theoretical particle physics and cosmology. After discussing the theoretical and experimental physics revolution that led to the rise of the Standard Model in the past century, the author reviews all the major open puzzles, among them the hierarchy problem, the small value of the cosmological constant, the matter-antimatter asymmetry, and the dark matter enigma, including the state-of-the-art regarding proposed solutions. Also addressed are the rapidly expanding fields of thermal dark matter, cosmological first-order phase transitions and gravitational-wave signatures. In addition, the book presents the original and interdisciplinary PhD research work of the author relating to Weakly-Interacting-Massive-Particles around the TeV scale, which are among the most studied dark matter candidates. Motivated by the absence of experimental evidence for such particles, this thesis explores the possibility that dark matter is much heavier than what is conventionally assumed.
Standard Model And Beyond
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Author : M. Zrałek
language : en
Publisher: Nova Publishers
Release Date : 1992
Standard Model And Beyond written by M. Zrałek and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.
Standard Model & Beyond Proceedings Of The Xiii International School Of Theoretical Physics - Szczyrk, September 19-26 1989, University Of Silesia, Katowice