An Effective Medium Approach To The Asymptotics Of The Statistical Moments Of The Parabolic Anderson Model And Lifshitz Tails

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The Parabolic Anderson Model

Author : Wolfgang König
Publisher : Birkhäuser
ISBN 13 : 3319335960
Total Pages : 199 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis The Parabolic Anderson Model by : Wolfgang König

Download or read book The Parabolic Anderson Model written by Wolfgang König and published by Birkhäuser. This book was released on 2016-06-30 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive survey on the research on the parabolic Anderson model – the heat equation with random potential or the random walk in random potential – of the years 1990 – 2015. The investigation of this model requires a combination of tools from probability (large deviations, extreme-value theory, e.g.) and analysis (spectral theory for the Laplace operator with potential, variational analysis, e.g.). We explain the background, the applications, the questions and the connections with other models and formulate the most relevant results on the long-time behavior of the solution, like quenched and annealed asymptotics for the total mass, intermittency, confinement and concentration properties and mass flow. Furthermore, we explain the most successful proof methods and give a list of open research problems. Proofs are not detailed, but concisely outlined and commented; the formulations of some theorems are slightly simplified for better comprehension.

Lectures On Phase Transitions And The Renormalization Group

Author : Nigel Goldenfeld
Publisher : CRC Press
ISBN 13 : 0429962045
Total Pages : 417 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Lectures On Phase Transitions And The Renormalization Group by : Nigel Goldenfeld

Download or read book Lectures On Phase Transitions And The Renormalization Group written by Nigel Goldenfeld and published by CRC Press. This book was released on 2018-03-08 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the elementary aspects of the physics of phases transitions and the renormalization group, this popular book is widely used both for core graduate statistical mechanics courses as well as for more specialized courses. Emphasizing understanding and clarity rather than technical manipulation, these lectures de-mystify the subject and show precisely "how things work." Goldenfeld keeps in mind a reader who wants to understand why things are done, what the results are, and what in principle can go wrong. The book reaches both experimentalists and theorists, students and even active researchers, and assumes only a prior knowledge of statistical mechanics at the introductory graduate level.Advanced, never-before-printed topics on the applications of renormalization group far from equilibrium and to partial differential equations add to the uniqueness of this book.

Holographic Quantum Matter

Author : Sean A. Hartnoll
Publisher : MIT Press
ISBN 13 : 0262348020
Total Pages : 407 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Holographic Quantum Matter by : Sean A. Hartnoll

Download or read book Holographic Quantum Matter written by Sean A. Hartnoll and published by MIT Press. This book was released on 2018-03-16 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of holographic methods in quantum matter, written by pioneers in the field. This book, written by pioneers in the field, offers a comprehensive overview of holographic methods in quantum matter. It covers influential developments in theoretical physics, making the key concepts accessible to researchers and students in both high energy and condensed matter physics. The book provides a unique combination of theoretical and historical context, technical results, extensive references to the literature, and exercises. It will give readers the ability to understand the important problems in the field, both those that have been solved and those that remain unsolved, and will enable them to engage directly with the current literature. The book describes a particular interface between condensed matter physics, gravitational physics, and string and quantum field theory made possible by holographic duality. The chapters cover such topics as the essential workings of the holographic correspondence; strongly interacting quantum matter at a fixed commensurate density; compressible quantum matter with a variable density; transport in quantum matter; the holographic description of symmetry broken phases; and the relevance of the topics covered to experimental challenges in specific quantum materials. Holographic Quantum Matter promises to be the definitive presentation of this material.

Specific Heats at Low Temperatures

Author : Erode Gopal
Publisher : Springer Science & Business Media
ISBN 13 : 1468490818
Total Pages : 246 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Specific Heats at Low Temperatures by : Erode Gopal

Download or read book Specific Heats at Low Temperatures written by Erode Gopal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work was begun quite some time ago at the University of Oxford during the tenure of an Overseas Scholarship of the Royal Commission for the Exhibition of 1851 and was completed at Banga lore when the author was being supported by a maintenance allowance from the CSIR Pool for unemployed scientists. It is hoped that significant developments taking place as late as the beginning of 1965 have been incorporated. The initial impetus and inspiration for the work came from Dr. K. Mendelssohn. To him and to Drs. R. W. Hill and N. E. Phillips, who went through the whole of the text, the author is obliged in more ways than one. For permission to use figures and other materials, grateful thanks are tendered to the concerned workers and institutions. The author is not so sanguine as to imagine that all technical and literary flaws have been weeded out. If others come across them, they may be charitably brought to the author's notice as proof that physics has become too vast to be comprehended by a single onlooker. E. S. RAJA GoPAL Department of Physics Indian Institute of Science Bangalore 12, India November 1965 v Contents Introduction ................................................................. .

Vortices in Unconventional Superconductors and Superfluids

Author : Rudolf Huebener
Publisher : Springer Science & Business Media
ISBN 13 : 9783540423362
Total Pages : 390 pages
Book Rating : 4.4/5 (233 download)

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Book Synopsis Vortices in Unconventional Superconductors and Superfluids by : Rudolf Huebener

Download or read book Vortices in Unconventional Superconductors and Superfluids written by Rudolf Huebener and published by Springer Science & Business Media. This book was released on 2002-01-22 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological defects are generic in continuous media. In the relativistic quantum vacuum they are known as cosmic strings, in superconductors as quantized flux lines, and in superfluids, low-density atomic Bose-Einstein condensates and neutron stars as quantized vortex lines. This collection of articles by leading scientists presents a modern treatment of the physics of vortex matter, mainly applied to unconventional superconductors and superfluids but with extensions to other areas of physics.

Chaos, Order and Patterns

Author : Roberto Artuso
Publisher :
ISBN 13 : 9781475701739
Total Pages : 292 pages
Book Rating : 4.7/5 (17 download)

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Book Synopsis Chaos, Order and Patterns by : Roberto Artuso

Download or read book Chaos, Order and Patterns written by Roberto Artuso and published by . This book was released on 1992-04-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Transport Theory

Author : Jorgen Rammer
Publisher : CRC Press
ISBN 13 : 0429971389
Total Pages : 540 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Quantum Transport Theory by : Jorgen Rammer

Download or read book Quantum Transport Theory written by Jorgen Rammer and published by CRC Press. This book was released on 2018-05-04 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to transport theory, the kinetic equation approach and shows the utility of Feynman diagrams in non-equilibrium quantum statistical mechanics. It is helpful for a wider audience than students of condensed matter physics and physicists in general.

Analogue Gravity Phenomenology

Author : Daniele Faccio
Publisher : Springer
ISBN 13 : 331900266X
Total Pages : 452 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Analogue Gravity Phenomenology by : Daniele Faccio

Download or read book Analogue Gravity Phenomenology written by Daniele Faccio and published by Springer. This book was released on 2013-08-13 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analogue Gravity Phenomenology is a collection of contributions that cover a vast range of areas in physics, ranging from surface wave propagation in fluids to nonlinear optics. The underlying common aspect of all these topics, and hence the main focus and perspective from which they are explained here, is the attempt to develop analogue models for gravitational systems. The original and main motivation of the field is the verification and study of Hawking radiation from a horizon: the enabling feature is the possibility to generate horizons in the laboratory with a wide range of physical systems that involve a flow of one kind or another. The years around 2010 and onwards witnessed a sudden surge of experimental activity in this expanding field of research. However, building an expertise in analogue gravity requires the researcher to be equipped with a rather broad range of knowledge and interests. The aim of this book is to bring the reader up to date with the latest developments and provide the basic background required in order to appreciate the goals, difficulties, and success stories in the field of analogue gravity. Each chapter of the book treats a different topic explained in detail by the major experts for each specific discipline. The first chapters give an overview of black hole spacetimes and Hawking radiation before moving on to describe the large variety of analogue spacetimes that have been proposed and are currently under investigation. This introductory part is then followed by an in-depth description of what are currently the three most promising analogue spacetime settings, namely surface waves in flowing fluids, acoustic oscillations in Bose-Einstein condensates and electromagnetic waves in nonlinear optics. Both theory and experimental endeavours are explained in detail. The final chapters refer to other aspects of analogue gravity beyond the study of Hawking radiation, such as Lorentz invariance violations and Brownian motion in curved spacetimes, before concluding with a return to the origins of the field and a description of the available observational evidence for horizons in astrophysical black holes.

Modeling and Computational Methods for Kinetic Equations

Author : Pierre Degond
Publisher : Springer Science & Business Media
ISBN 13 : 9780817632540
Total Pages : 372 pages
Book Rating : 4.6/5 (325 download)

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Book Synopsis Modeling and Computational Methods for Kinetic Equations by : Pierre Degond

Download or read book Modeling and Computational Methods for Kinetic Equations written by Pierre Degond and published by Springer Science & Business Media. This book was released on 2004-04-07 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. New applications in traffic flow engineering, granular media modeling, and polymer and phase transition physics have resulted in new numerical algorithms which depart from traditional stochastic Monte--Carlo methods. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused theoretical or applied works. The book is divided into two parts. Part I is devoted to the most fundamental kinetic model: the Boltzmann equation of rarefied gas dynamics. Additionally, widely used numerical methods for the discretization of the Boltzmann equation are reviewed: the Monte--Carlo method, spectral methods, and finite-difference methods. Part II considers specific applications: plasma kinetic modeling using the Landau--Fokker--Planck equations, traffic flow modeling, granular media modeling, quantum kinetic modeling, and coagulation-fragmentation problems. Modeling and Computational Methods of Kinetic Equations will be accessible to readers working in different communities where kinetic theory is important: graduate students, researchers and practitioners in mathematical physics, applied mathematics, and various branches of engineering. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.

Random Schrödinger Operators

Author : Margherita Disertori
Publisher : SMF
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Random Schrödinger Operators by : Margherita Disertori

Download or read book Random Schrödinger Operators written by Margherita Disertori and published by SMF. This book was released on 2008 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last thirty years, random Schrodinger operators, which originated in condensed matter physics, have been studied intensively and very productively. The theory is at the crossroads of a number of mathematical fields: the theory of operators, partial differential equations, the theory of probabilities, in particular the study of stochastic processes and that of random walks and Brownian motion in a random environment. This monograph aims to give the reader a panorama of the subject, from the now-classic foundations to very recent developments.

Introduction to Soergel Bimodules

Author : Ben Elias
Publisher : Springer Nature
ISBN 13 : 3030488268
Total Pages : 588 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Introduction to Soergel Bimodules by : Ben Elias

Download or read book Introduction to Soergel Bimodules written by Ben Elias and published by Springer Nature. This book was released on 2020-09-26 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. On the one hand, these bimodules are fairly elementary objects and explicit calculations are possible. On the other, they have deep connections to Lie theory and geometry. Taking these two aspects together, they offer a wonderful primer on geometric representation theory. In this book the reader is introduced to the theory through a series of lectures, which range from the basics, all the way to the latest frontiers of research. This book serves both as an introduction and as a reference guide to the theory of Soergel bimodules. Thus it is intended for anyone who wants to learn about this exciting field, from graduate students to experienced researchers.

Interacting Stochastic Systems

Author : Jean-Dominique Deuschel
Publisher : Springer Science & Business Media
ISBN 13 : 9783540230335
Total Pages : 470 pages
Book Rating : 4.2/5 (33 download)

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Book Synopsis Interacting Stochastic Systems by : Jean-Dominique Deuschel

Download or read book Interacting Stochastic Systems written by Jean-Dominique Deuschel and published by Springer Science & Business Media. This book was released on 2005-01-12 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Research Network on "Interacting stochastic systems of high complexity" set up by the German Research Foundation aimed at exploring and developing connections between research in infinite-dimensional stochastic analysis, statistical physics, spatial population models from mathematical biology, complex models of financial markets or of stochastic models interacting with other sciences. This book presents a structured collection of papers on the core topics, written at the close of the 6-year programme by the research groups who took part in it. The structure chosen highlights the interweaving of certain themes and certain interconnections discovered through the joint work. This yields a reference work on results and methods that will be useful to all who work between applied probability and the physical, economic, and life sciences.

Nucleation Theory

Author : V.I. Kalikmanov
Publisher : Springer
ISBN 13 : 9048136431
Total Pages : 319 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Nucleation Theory by : V.I. Kalikmanov

Download or read book Nucleation Theory written by V.I. Kalikmanov and published by Springer. This book was released on 2012-11-28 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most striking phenomena in condensed matter physics is the occurrence of abrupt transitions in the structure of a substance at certain temperatures or pressures. These are first order phase transitions, and examples such as the freezing of water are familiar in everyday life. The conditions at which the transformation takes place can sometimes vary. For example, the freezing point of water is not always 0°C, but the liquid can be supercooled considerably if it is pure enough and treated carefully. The reason for this phenomenon is nucleation. This monograph covers all major available routes of theoretical research of nucleation phenomena (phenomenological models, semi-phenomenological theories, density functional theories, microscopic and semi-microscopic approaches), with emphasis on the formation of liquid droplets from a metastable vapor. Also, it illustrates the application of these various approaches to experimentally relevant problems. In spite of the familiarity of the involved phenomena, it is still impossible to calculate nucleation accurately, as the properties and the kinetics of the daughter phase are insufficiently well known. Existing theories based upon classical nucleation theory have on the whole explained the trends in behavior correctly. However they often fail spectacularly to account for new data, in particular in the case of binary or, more generally, multi-component nucleation. The current challenge of this book is to go beyond such classical models and provide a more satisfactory theory by using density functional theory and microscopic computer simulations in order to describe the properties of small clusters. Also, semi-phenomenological models are proposed, which attempt to relate the properties of small clusters to known properties of the bulk phases. This monograph is an introduction as well as a compendium to researchers in soft condensed matter physics and chemical physics, graduate and post-graduate students in physics and chemistry starting on research in the area of nucleation, and to experimentalists wishing to gain a better understanding of the efforts being made to account for their data.

Interfacial Phenomena and the Marangoni Effect

Author : M. G. Velarde
Publisher : Springer
ISBN 13 : 3709125502
Total Pages : 287 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Interfacial Phenomena and the Marangoni Effect by : M. G. Velarde

Download or read book Interfacial Phenomena and the Marangoni Effect written by M. G. Velarde and published by Springer. This book was released on 2014-05-04 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marangoni (1878), provided a wealth of detailed information on the effects of variations of the potential energy of liquid surfaces and, in particular, flow arising from variations in temperature and surfactant composition. One aspect of this science is seen today to bear on important phenomena associated with the processing of modern materials. The role of the basic effect in technology was probably first demonstrated by chemical engineers in the field of liquid-liquid extraction. Indeed, phenomena attributable to Marangoni flows have been reported in innumerable instances relevant to modern technologies, such as in hot salt corrosion in aeroturbine blades; the drying of solvent-containing paints; the drying of silicon wafers used in electronics; in materials processing, particularly in metallic systems which have been suspected to demonstrate Marangoni flows.

Large random matrices

Author : Alice Guionnet
Publisher : Springer Science & Business Media
ISBN 13 : 3540698965
Total Pages : 296 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Large random matrices by : Alice Guionnet

Download or read book Large random matrices written by Alice Guionnet and published by Springer Science & Business Media. This book was released on 2009-03-25 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures emphasize the relation between the problem of enumerating complicated graphs and the related large deviations questions. Such questions are closely related with the asymptotic distribution of matrices.

Quantum Mechanics in Mathematics, Chemistry, and Physics

Author : Karl Gustafson
Publisher : Springer
ISBN 13 : 9781461332602
Total Pages : 506 pages
Book Rating : 4.3/5 (326 download)

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Book Synopsis Quantum Mechanics in Mathematics, Chemistry, and Physics by : Karl Gustafson

Download or read book Quantum Mechanics in Mathematics, Chemistry, and Physics written by Karl Gustafson and published by Springer. This book was released on 2011-11-01 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume grew from a Special Session in }~thematical Physics organized as a part of the 774th Heeting of the American }~thematical Society in Boulder, Colorado, ,27-29 l~rch, 1980. The organizers attempted to include a mix of mathematicians, physi cists and chemists. As interest in the session increased and as it became clear that a significant number of leading contributors would be here, we were offered the opportunity to have these pro ceedings published by Plenum Press. We would like first to express our thanks to Plenum Press, to the American Hathematical Society, and to the University of Colorado Graduate School, and in particular, respectively, to James Busis, Dr. William LeVeque, and Vice Chancellor Hilton Lipetz, for their help in this undertaking. We would also like to thank Burt Rashbaum and }~rtha Troetschel of the Department of l~thematics and Karen Dirks, Donna Falkenhein, Lorraine Volsky, Gwendy Romey, and Leslie Haas of the Joint Institute for labora tory Astrophysics for their excellent help in the preparation of these proceedings. The session took on an international character, representing the countries Federal Republic of Germany, India, Belgium, Peoples Republic of China, Switzerland, Iran, Hexico, GerPlan Democratic Republic, England, and the United States. In all there were fi nally 37 speakers and all have contributed to this volume. The success of the meeting is above all due to them.

A Century of Excellence in Measurements, Standards, and Technology

Author : David R. Lide
Publisher : CRC Press
ISBN 13 : 9780849312472
Total Pages : 402 pages
Book Rating : 4.3/5 (124 download)

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Book Synopsis A Century of Excellence in Measurements, Standards, and Technology by : David R. Lide

Download or read book A Century of Excellence in Measurements, Standards, and Technology written by David R. Lide and published by CRC Press. This book was released on 2001-10-30 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Established by Congress in 1901, the National Bureau of Standards (NBS), now the National Institute of Standards and Technology (NIST), has a long and distinguished history as the custodian and disseminator of the United States' standards of physical measurement. Having reached its centennial anniversary, the NBS/NIST reflects on and celebrates its first century with this book describing some of its seminal contributions to science and technology. Within these pages are 102 vignettes that describe some of the Institute's classic publications. Each vignette relates the context in which the publication appeared, its impact on science, technology, and the general public, and brief details about the lives and work of the authors. The groundbreaking works depicted include: A breakthrough paper on laser-cooling of atoms below the Doppler limit, which led to the award of the 1997 Nobel Prize for Physics to William D. Phillips The official report on the development of the radio proximity fuse, one of the most important new weapons of World War II The 1932 paper reporting the discovery of deuterium in experiments that led to Harold Urey's1934 Nobel Prize for Chemistry A review of the development of the SEAC, the first digital computer to employ stored programs and the first to process images in digital form The first paper demonstrating that parity is not conserved in nuclear physics, a result that shattered a fundamental concept of theoretical physics and led to a Nobel Prize for T. D. Lee and C. Y. Yang "Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor," a 1995 paper that has already opened vast new areas of research A landmark contribution to the field of protein crystallography by Wlodawer and coworkers on the use of joint x-ray and neutron diffraction to determine the structure of proteins