Points Lines And Surfaces At Criticality
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Points Lines And Surfaces At Criticality
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Author : Edoardo Lauria
language : en
Publisher: Springer
Release Date : 2019-07-30
Points Lines And Surfaces At Criticality written by Edoardo Lauria and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-30 with Science categories.
This thesis offers a fascinating journey through various non-perturbative aspects of Conformal Theories, in particular focusing on the Conformal Bootstrap Programme and its extensions to theories with various degrees of symmetry. Because of the preeminent role of Conformal Theories in Nature, as well as the great generality of the results here obtained, this analysis directly applies to many different areas of research. The content of this thesis is certainly relevant for the physics community as a whole and this relevance is well motivated and discussed along the various chapters of this work. The work is self-contained and starts with an original introduction to conformal theories, defects in such theories and how they lead to constraints on data and an extension of the bootstrap programme. This situation is often realized by critical systems with impurities, topological insulators, or – in the high-energy context – by Wilson and 't Hooft operators. The thesis continues with original research results of the author, including supersymmetric extensions. These results may be relevant non only in the high energy physics context - where supersymmetry is required for the theory to be consistent - but also for condensed matter systems that enjoy supersymmetry emergence at long distances.
Complexity And Criticality
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Author : Kim Christensen
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-10-03
Complexity And Criticality written by Kim Christensen and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-03 with Science categories.
This book provides a challenging and stimulating introduction to the contemporary topics of complexity and criticality, and explores their common basis of scale invariance, a central unifying theme of the book. Criticality refers to the behaviour of extended systems at a phase transition where scale invariance prevails. The many constituent microscopic parts bring about macroscopic phenomena that cannot be understood by considering a single part alone. The phenomenology of phase transitions is introduced by considering percolation, a simple model with a purely geometrical phase transition, thus enabling the reader to become intuitively familiar with concepts such as scale invariance and renormalisation. The Ising model is then introduced, which captures a thermodynamic phase transition from a disordered to an ordered system as the temperature is lowered in zero external field. By emphasising analogies between percolation and the Ising model, the reader's intuition of phase transitions is developed so that the underlying theoretical formalism may be appreciated fully. These equilibrium systems undergo a phase transition only if an external agent finely tunes certain external parameters to particular values. Besides fractals and phase transitions, there are many examples in Nature of the emergence of such complex behaviour in slowly driven non-equilibrium systems: earthquakes in seismic systems, avalanches in granular media and rainfall in the atmosphere. A class of non-equilibrium systems, not constrained by having to tune external parameters to obtain critical behaviour, is addressed in the framework of simple models, revealing that the repeated application of simple rules may spontaneously give rise to emergent complex behaviour not encoded in the rules themselves. The common basis of complexity and criticality is identified and applied to a range of non-equilibrium systems. Finally, the reader is invited to speculate whether self-organisation in non-equilibrium systems might be a unifying concept for disparate fields such as statistical mechanics, geophysics and atmospheric physics. Visit http://www.complexityandcriticality.com for animations for the models in the book (available for Windows and Linux), solutions to exercises, as well as a list with corrections. Contents:Percolation:Percolating Phase TransitionPercolation in One DimensionPercolation on the Bethe LatticePercolation in Two DimensionsGeometric Properties of ClustersScaling Ansatz, Scaling Functions and Scaling RelationsFinite-Size ScalingUniversalityReal-Space Renormalisation GroupIsing Model:Review of Thermodynamics and Statistical MechanicsSymmetry BreakingFerromagnetic Phase TransitionIsing Model in One DimensionMean-Field Ising ModelIsing Model in Two DimensionsLandau Theory of Continuous Phase TransitionsScaling Ansatz, Scaling Functions and Scaling RelationsUniversalityReal-Space Renormalisation GroupSelf-Organised Criticality:Non-equilibrium steady state systemBTW Model in One DimensionMean-Field Theory of the BTW ModelBranching ProcessScaling Ansatz, Scaling Functions and Scaling RelationsBTW Model in Two DimensionsA Rice Pile Experiment and the Oslo ModelEarthquakes and the OFC ModelRainfallSelf-Organised Criticality as a Unifying Principle Readership: Students at all levels, researchers and instructors looking for an introduction to the ideas of complexity and criticality.
Points Lines And Surfaces At Criticality
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Author : Edoardo Lauria
language : en
Publisher:
Release Date : 2019
Points Lines And Surfaces At Criticality written by Edoardo Lauria and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Conformal mapping categories.
This thesis offers a fascinating journey through various non-perturbative aspects of Conformal Theories, in particular focusing on the Conformal Bootstrap Programme and its extensions to theories with various degrees of symmetry. Because of the preeminent role of Conformal Theories in Nature, as well as the great generality of the results here obtained, this analysis directly applies to many different areas of research. The content of this thesis is certainly relevant for the physics community as a whole and this relevance is well motivated and discussed along the various chapters of this work. The work is self-contained and starts with an original introduction to conformal theories, defects in such theories and how they lead to constraints on data and an extension of the bootstrap programme. This situation is often realized by critical systems with impurities, topological insulators, or -in the high-energy context- by Wilson and 't Hooft operators. The thesis continues with original research results of the author, including supersymmetric extensions. These results may be relevant non only in the high energy physics context - where supersymmetry is required for the theory to be consistent - but also for condensed matter systems that enjoy supersymmetry emergence at long distances.
Quarks Leptons And Their Constituents
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Author : Antonino Zichichi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quarks Leptons And Their Constituents written by Antonino Zichichi 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 2012-12-06 with Technology & Engineering categories.
From 5 to 15 August 1984, a group of 79 physicists from 61 laboratories in 26 countries met in Erice for the 22nd Course of the International School of Subnuclear Physics. The countries represented were Austria, Belgium, Brazil, Bulgaria, Canada, People's Republic of China, Denmark, the Federal Republic of Germany, France, Greece, Hungary, Iran, Israel, Italy, Japan, Korea, Malaysia, Mexico, the Netherlands, Pakistan, Poland, Sweden, Switzerland, Turkey, the United Kingdom, the United States of America. The School was sponsored by the Italian Ministry of Public Education (MPI), the Italian Ministry of Scientific and Technologi cal Research (MRST), the Regional Sicilian Government (ERS), and the Weizmann Institute of Science. The programme of the School was devoted to a review of the most significant results in theoretical and experimental research work on the interactions between what we believe today are the point like constituents of the world: quarks and leptons. It should however not be forgotten that many problems are still to be understood: especially in the forefront of the correla tion between quarks and leptons. This game started in 1966 with the proposal for "leptonic quarks" and went on with "preons" and "rishons" just to quote the most famous attempts to unify these two worlds.
Heterogeneous Spatial Data
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Author : Giuseppe Patanè
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Heterogeneous Spatial Data written by Giuseppe Patanè and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Mathematics categories.
New data acquisition techniques are emerging and are providing fast and efficient means for multidimensional spatial data collection. Airborne LIDAR surveys, SAR satellites, stereo-photogrammetry and mobile mapping systems are increasingly used for the digital reconstruction of the environment. All these systems provide extremely high volumes of raw data, often enriched with other sensor data (e.g., beam intensity). Improving methods to process and visually analyze this massive amount of geospatial and user-generated data is crucial to increase the efficiency of organizations and to better manage societal challenges. Within this context, this book proposes an up-to-date view of computational methods and tools for spatio-temporal data fusion, multivariate surface generation, and feature extraction, along with their main applications for surface approximation and rainfall analysis. The book is intended to attract interest from different fields, such as computer vision, computer graphics, geomatics, and remote sensing, working on the common goal of processing 3D data. To this end, it presents and compares methods that process and analyze the massive amount of geospatial data in order to support better management of societal challenges through more timely and better decision making, independent of a specific data modeling paradigm (e.g., 2D vector data, regular grids or 3D point clouds). We also show how current research is developing from the traditional layered approach, adopted by most GIS softwares, to intelligent methods for integrating existing data sets that might contain important information on a geographical area and environmental phenomenon. These services combine traditional map-oriented visualization with fully 3D visual decision support methods and exploit semantics-oriented information (e.g., a-priori knowledge, annotations, segmentations) when processing, merging, and integrating big pre-existing data sets.
Algorithms And Computation
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Author : Tetsuo Asano
language : en
Publisher: Springer
Release Date : 2006-11-30
Algorithms And Computation written by Tetsuo Asano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-30 with Computers categories.
This book constitutes the refereed proceedings of the 17th International Symposium on Algorithms and Computation, ISAAC 2006, held in Kolkata, India, December 2006. The 73 revised full papers cover algorithms and data structures, online algorithms, approximation algorithm, computational geometry, computational complexity, optimization and biology, combinatorial optimization and quantum computing, as well as distributed computing and cryptography.
Lectures On Thermodynamics And Statistical Mechanics Proceedings Of The Xxiii Winter Meeting On Statistical Physics
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Author : M Costas
language : en
Publisher: World Scientific
Release Date : 1994-12-09
Lectures On Thermodynamics And Statistical Mechanics Proceedings Of The Xxiii Winter Meeting On Statistical Physics written by M Costas and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-09 with categories.
This volume deals with topics of contemporary interest covering both experimental results and theoretical considerations. Different aspects of the physics and chemistry of the vitreous state are discussed in a series of three lectures by internationally respected researchers on the statistical physics of glasses.A wide range of topics in statistical physics such as critical behaviour, computer simulations of colloid aggregation, kinetic theory of tunneling diffusion, normal mode analysis of liquids and neutron scattering in C60 are also covered. This book provides a useful survey and will be of interest to researchers.
The Casimir Effect In Critical Systems
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Author : Michael Krech
language : en
Publisher: World Scientific
Release Date : 1994
The Casimir Effect In Critical Systems written by Michael Krech and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
The well-known Casimir effect has a direct analogue in systems near critical or multicritical points. Critical fluctuations in systems confined to finite geometries lead to attractive or repulsive forces between system boundaries. These forces influence the formation of wetting layers of liquid 4He or binary liquid mixtures near critical points in these fluids. With the aid of recently developed versions of the atomic force microscope, these forces appear to be directly measurable. The book contains an introduction to the physics of critical phenomena and reviews the most recent developments in the theory of finite-size scaling. A detailed discussion of the Casimir effect and related questions follows. The analysis of quantitative effects on the specific heat of critical films, the formation of wetting layers, and force measurements finish the presentation. This is perhaps the first book on the critical Casimir effect.
Introduction To Surface Magnetism
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Author : Takahito Kaneyoshi
language : en
Publisher: CRC Press
Release Date : 1990-12-13
Introduction To Surface Magnetism written by Takahito Kaneyoshi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-12-13 with Technology & Engineering categories.
This book has been designed as an introductory text to surface magnetism for physics and material science students. General topics discussed include the physical characteristics of magnetically ordered systems, the structural aspects of surfaces, magnetic surfaces, the Weiss molecular field and other effective field theories, the scaling concept and scaling relations, ferro- and ferrimagnetism, and spin waves. Introduction to Surface Magnetism includes 85 figures and 6 tables to help summarize information presented in the book.
Conformal Invariance An Introduction To Loops Interfaces And Stochastic Loewner Evolution
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Author : Malte Henkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-05
Conformal Invariance An Introduction To Loops Interfaces And Stochastic Loewner Evolution written by Malte Henkel 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 2012-04-05 with Science categories.
Conformal invariance has been a spectacularly successful tool in advancing our understanding of the two-dimensional phase transitions found in classical systems at equilibrium. This volume sharpens our picture of the applications of conformal invariance, introducing non-local observables such as loops and interfaces before explaining how they arise in specific physical contexts. It then shows how to use conformal invariance to determine their properties. Moving on to cover key conceptual developments in conformal invariance, the book devotes much of its space to stochastic Loewner evolution (SLE), detailing SLE’s conceptual foundations as well as extensive numerical tests. The chapters then elucidate SLE’s use in geometric phase transitions such as percolation or polymer systems, paying particular attention to surface effects. As clear and accessible as it is authoritative, this publication is as suitable for non-specialist readers and graduate students alike.