Langevin Equation The With Applications To Stochastic Problems In Physics Chemistry And Electrical Engineering Fourth Edition
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The Langevin Equation
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Author : William Coffey
language : en
Publisher: World Scientific
Release Date : 2004
The Langevin Equation written by William Coffey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
This volume is the second edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the Brownian motion in a potential, with emphasis on modern applications in the natural sciences, electrical engineering and so on. It has been substantially enlarged to cover in a succinct manner a number of new topics, such as anomalous diffusion, continuous time random walks, stochastic resonance etc, which are of major current interest in view of the large number of disparate physical systems exhibiting these phenomena. The book has been written in such a way that all the material should be accessible to an advanced undergraduate or beginning graduate student. It draws together, in a coherent fashion, a variety of results which have hitherto been available only in the form of research papers or scattered review articles.
Langevin Equation The With Applications To Stochastic Problems In Physics Chemistry And Electrical Engineering Fourth Edition
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Author : Kalmykov Yuri P
language : en
Publisher: World Scientific
Release Date : 2017-03-22
Langevin Equation The With Applications To Stochastic Problems In Physics Chemistry And Electrical Engineering Fourth Edition written by Kalmykov Yuri P and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-22 with Science categories.
Our original objective in writing this book was to demonstrate how the concept of the equation of motion of a Brownian particle — the Langevin equation or Newtonian-like evolution equation of the random phase space variables describing the motion — first formulated by Langevin in 1908 — so making him inter alia the founder of the subject of stochastic differential equations, may be extended to solve the nonlinear problems arising from the Brownian motion in a potential. Such problems appear under various guises in many diverse applications in physics, chemistry, biology, electrical engineering, etc. However, they have been invariably treated (following the original approach of Einstein and Smoluchowski) via the Fokker–Planck equation for the evolution of the probability density function in phase space. Thus the more simple direct dynamical approach of Langevin which we use and extend here, has been virtually ignored as far as the Brownian motion in a potential is concerned. In addition two other considerations have driven us to write this new edition of The Langevin Equation. First, more than five years have elapsed since the publication of the third edition and following many suggestions and comments of our colleagues and other interested readers, it became increasingly evident to us that the book should be revised in order to give a better presentation of the contents. In particular, several chapters appearing in the third edition have been rewritten so as to provide a more direct appeal to the particular community involved and at the same time to emphasize via a synergetic approach how seemingly unrelated physical problems all involving random noise may be described using virtually identical mathematical methods. Secondly, in that period many new and exciting developments have occurred in the application of the Langevin equation to Brownian motion. Consequently, in order to accommodate all these, a very large amount of new material has been added so as to present a comprehensive overview of the subject.
The Langevin Equation
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language : en
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The Langevin Equation written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The Langevin Equation
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Author : William Coffey
language : en
Publisher: World Scientific
Release Date : 2012
The Langevin Equation written by William Coffey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Science categories.
This volume is the third edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the translational and rotational Brownian motion of particles and spins in a potential highlighting modern applications in physics, chemistry, electrical engineering, and so on. In order to improve the presentation, to accommodate all the new developments, and to appeal to the specialized interests of the various communities involved, the book has been extensively rewritten and a very large amount of new material has been added. This has been done in order to present a comprehensive overview of the subject emphasizing via a synergetic approach that seemingly unrelated physical problems involving random noise may be described using virtually identical mathematical methods in the spirit of the founders of the subject, viz., Einstein, Langevin, Smoluchowski, Kramers, The book has been written in such a way that all the material should be accessible both to an advanced researcher and a beginning graduate student. It draws together, in a coherent fashion, a variety of results which have hitherto been available only in the form of scattered research papers and review articles.
The Langevin Equation
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Author : Yuri P. Kalmykov
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017
The Langevin Equation written by Yuri P. Kalmykov 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 2017 with Brownian motion processes categories.
This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to HenstockKurzweil type integrals defined on abstract spaces. It co
The Langevin Equation
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Author : William Coffey
language : en
Publisher: World Scientific
Release Date : 1996
The Langevin Equation written by William Coffey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
The book is suitable for a lecture course on the theory of Brownian motion, being based on final year undergraduate lectures given at Trinity College, Dublin. Topics that are discussed include: white noise; the Chapman-Kolmogorov equation ? Kramers-Moyal expansion; the Langevin equation; the Fokker-Planck equation; Brownian motion of a free particle; spectral density and the Wiener-Khintchin theorem ? Brownian motion in a potential application to the Josephson effect, ring laser gyro; Brownian motion in two dimensions; harmonic oscillators; itinerant oscillators; linear response theory; rotational Brownian motion; application to loss processes in dielectric and ferrofluids; superparamagnetism and nonlinear relaxation processes.As the first elementary book on the Langevin equation approach to Brownian motion, this volume attempts to fill in all the missing details which students find particularly hard to comprehend from the fundamental papers contained in the Dover reprint ? Selected Papers on Noise and Stochastic Processes, ed. N Wax (1954) ? together with modern applications particularly to relaxation in ferrofluids and polar dielectrics.
The Langevin Equation
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Author : William T Coffey
language : en
Publisher: World Scientific
Release Date : 2012-07-31
The Langevin Equation written by William T Coffey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-31 with Science categories.
This volume is the third edition of the first-ever elementary book on the Langevin equation method for the solution of problems involving the translational and rotational Brownian motion of particles and spins in a potential highlighting modern applications in physics, chemistry, electrical engineering, and so on. In order to improve the presentation, to accommodate all the new developments, and to appeal to the specialized interests of the various communities involved, the book has been extensively rewritten and a very large amount of new material has been added. This has been done in order to present a comprehensive overview of the subject emphasizing via a synergetic approach that seemingly unrelated physical problems involving random noise may be described using virtually identical mathematical methods in the spirit of the founders of the subject, viz., Einstein, Langevin, Smoluchowski, Kramers, etc. The book has been written in such a way that all the material should be accessible both to an advanced researcher and a beginning graduate student. It draws together, in a coherent fashion, a variety of results which have hitherto been available only in the form of scattered research papers and review articles. Contents:Historical Background and Introductory ConceptsLangevin Equations and Methods of SolutionBrownian Motion of a Free Particle and a Harmonic OscillatorRotational Brownian Motion About a Fixed Axis in N-Fold Cosine PotentialsBrownian Motion in a Tilted Periodic Potential: Application to the Josephson Tunnelling JunctionTranslational Brownian Motion in a Double-Well PotentialNon-inertial Rotational Diffusion in Axially Symmetric External Potentials: Applications to Orientational Relaxation of Molecules in Fluids and Liquid CrystalsAnisotropic Non-inertial Rotational Diffusion in an External Potential: Application to Linear and Nonlinear Dielectric Relaxation and the Dynamic Kerr EffectBrownian Motion of Classical Spins: Application to Magnetization Relaxation in SuperparamagnetsInertial Effects in Rotational and Translational Brownian Motion for a Single Degree of FreedomInertial Effects in Rotational Diffusion in Space: Application to Orientational Relaxation in Molecular Liquids and FerrofluidsAnomalous Diffusion and Relaxation Readership: Advanced undergraduates, postgraduates, academics and researchers in statistical physics, condensed matter physics and magnetism, chemical physics, theoretical chemistry and applied mathematics. Keywords:Brownian Motion;Historical Development;Analogy with Financial Systems;Translational and Rotational Diffusion;Stochastic Differential Equations;Langevin Equation;FokkerâPlanck Equation;Characteristic Times of Relaxation Processes;Escape Rate Theory;Kramers Turnover Problem;Matrix Continued Fraction Solution of Evolution Equtions;Kerr Effect;Microwave (Debye) and Far-Infrared (Poley) Absorption;Dielectric Relaxation in Liquids and Nematic Liquid Crystals;Classical Spins;Superparamagnetism;Néel-Brown Model;Dynamic Magnetic Hysteresis;Switching Fields;Stoner-Wohlfarth Astroids;Ferromagnetic Resonance;Ferrofluids;Josephson Effect;Ring Laser;Magnetic Resonance Imaging;Stochastic Resonance;Anomalous Diffusion;Continuous Time Random Walk;Fractional Langevin Equation;Fractional FokkerâPlanck EquationKey Features:This volume is the third edition of the first elementary book on the Langevin equation method for the solution of problems involving the translational and rotational Brownian motion in a potential with particular emphasis on modern applications in the natural sciences, electrical engineering, etc.It has been extensively enlarged to cover in a reasonably succinct manner using a synergetic approach a number of new topics such as anomalous diffusion, continuous time random walks, stochastic resonance, superparamagnetism, magnetic resonance imaging, etc. which are of major current interest in view of the large number of disparate systems which exhibit these phenomenaThe book is written in a manner such that all the material should be accessible to an advanced undergraduate or beginning graduate studentReviews: “This book is devoted to a detailed presentation of Langevin's idea and does this almost perfectly. Successive topics considered in this book are presented in a detailed manner giving the general impression that this book is a comprehensive compendium of knowledge. This book should be a very valuable addition to libraries of many experienced scientists and also beginners (e.g., students) presenting solutions of many stochastic phenomena.” Zentralblatt MATH Reviews of the First and Second Editions: “I found this book a valuable addition to my library. It will be of interest to researchers and advanced students and the material could be used as the text for a course for advanced undergraduates and graduate students.” Irwin Oppenheim MIT “This enlarged and updated second edition of the book: 'The Langevin equation presents an extremely useful source for the practitioners of stochastic processes and its applications to physics, chemistry, engineering and biological physics, both for the experts and the beginners. It gives a valuable survey of solvable paradigms that rule many diverse stochastic phenomena. As such, it belongs onto the desk of all engaged in doing research and teaching in this area.” Peter Hanggi University of Augsburg “This is a timely update of the theory and applications of the Langevin equation, which skillfully combines the elementary approaches with most recent developments such as anomalous diffusion and fractional kinetics. Both experts and beginners will benefit from this well-written textbook.” Joseph Klafter Tel Aviv University
A Modern Approach To Functional Integration
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Author : John R. Klauder
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-08
A Modern Approach To Functional Integration written by John R. Klauder 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 2010-11-08 with Mathematics categories.
This text takes advantage of recent developments in the theory of path integration and attempts to make a major paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. A Modern Approach to Functional Integration offers insight into a number of contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature. Exercises are included in most chapters, making the book suitable for a one-semester graduate course on functional integration.
Asymptotics Of Elliptic And Parabolic Pdes
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Author : David Holcman
language : en
Publisher: Springer
Release Date : 2018-05-25
Asymptotics Of Elliptic And Parabolic Pdes written by David Holcman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-25 with Mathematics categories.
This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.
Nano Biophotonics
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Author : Hiroshi Masuhara
language : en
Publisher: Elsevier
Release Date : 2007-02-16
Nano Biophotonics written by Hiroshi Masuhara and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-16 with Science categories.
This third volume in the series represents the Proceedings of the 3rd International Nanophotonics Symposium, July 6-8, 2006, Icho-Kaikan, Osaka University, Osaka, Japan. Over a two-day symposium, distinguished scientists from around the world convened to discuss the latest progress in this field and the conclusions have been summarised in Nano Biophotonics: Science and Technology. The contents of this book have been compiled by invited lecturers, research members of the relevant projects/program, and some of general participants. The book has 27 chapters which are classified into 4 parts; nano bio-spectroscopy, nano bio-dynamics, nano bio-processing, and nano bio-devices. * Bridges the gap between conventional photophysics & photochemistry and nanoscience * Continuing the series that focuses on 'hot' areas of photochemistry, optics, material science and bioscience