Download or read book The Langevin Equation written by William Coffey and published by World Scientific. This book was released on 2004 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Langevin Equation written by William Coffey and published by World Scientific. This book was released on 1996 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Langevin Equation The With Applications To Stochastic Problems In Physics Chemistry And Electrical Engineering 3rd Edition written by Yuri P Kalmykov and published by World Scientific. This book was released on 2012-07-31 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Langevin Equation The With Applications To Stochastic Problems In Physics Chemistry And Electrical Engineering 2nd Edition written by William T Coffey and published by World Scientific. This book was released on 2004-03-03 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Langevin Equation The With Applications To Stochastic Problems In Physics Chemistry And Electrical Engineering Fourth Edition written by William T Coffey and published by World Scientific. This book was released on 2017-03-22 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Langevin Equation The With Applications In Physics Chemistry And Electrical Engineering written by William T Coffey and published by World Scientific. This book was released on 1996-07-03 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Langevin Equation written by William Coffey and published by World Scientific. This book was released on 2012 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Liquid Crystals Laptops And Life written by Michael R Fisch and published by World Scientific Publishing Company. This book was released on 2004-07-09 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Liquid Crystals, Laptops and Life connects the laptop computer with life itself via liquid crystals, the phases of matter essential to both. In the process it provides an integrated introduction to those parts of chemistry and physics that are necessary for understanding the basic science and technology embedded in the laptop and in life. This book can be understood by students with a good background in high school chemistry and physics; yet it can also serve as a primer for scientists who are not well versed in the areas covered.The first section of the book is devoted to discussion of basic concepts of chemistry and physics. The second section applies these concepts and extends them to three classes of materials that make the laptop possible: liquid crystals, polymers, and semiconductors. The first two classes of materials relate naturally to the molecules essential to life, thus providing an introduction to this area in an independent chapter. The third section focuses on the applied science and technology of semiconductors, digital devices, and computers, as well as liquid crystal displays. This section concludes by illustrating how these materials and technologies are combined in and make possible the laptop computer. The final section discusses applications of liquid crystals to the arts and to life. Each chapter rounds off with references to more advanced literature, exercises that test the reader's understanding, and open-ended questions that encourage the reader to explore the topics in greater depth.
Download or read book Dynamics of Particles and the Electromagnetic Field written by Slobodan D. Bosanac and published by World Scientific. This book was released on 2005 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying CD-ROM includes various illustrative examples.
Download or read book Dynamics Of Particles And The Electromagnetic Field With Cd rom written by Slobodan Danko Bosanac and published by World Scientific Publishing Company. This book was released on 2005-09-08 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in experimental techniques are allowing researchers to investigate the extremes of the dynamics of particle interactions with electromagnetic fields. The theoretical tools at our disposal are classical and quantum mechanics and experience has shown that it is dangerous to dismiss one at the expense of the other. Each has merits that should be fully explored; the problem, however, is to bridge the gap between them so that the information they give is complementary rather than contradictory. In this book, that goal is achieved by formulating five postulates, and the level of their implementation distinguishes the two mechanics. That the dynamics of particles (charges) is not complete without unifying it with the dynamics of electromagnetic fields is given special emphasis.In the first of three parts in the book, Newton dynamics is formulated from the Liouville equation. In the third part, this forms the basis for implementing the uncertainty postulate to formulate quantum mechanics. The theories of relativity and electromagnetic interactions are derived from one of the five postulates in the second part, and the unification of the dynamics of particles and electromagnetic fields is formulated in the second and the third parts. Numerous examples from each section illustrate the theory.Employing functional analysis instead of the more abstract techniques of linear spaces, linear operators, group theory, etc., the book makes well suited to advanced undergraduate level courses in classical and quantum mechanics. The material is also intended for postgraduate courses, in atomic and molecular physics in particular, with examples covering modern trends in research.The book is accompanied by a CD-ROM featuring various illustrative examples.
Download or read book New Developments in Biomedical Engineering written by Domenico Campolo and published by BoD – Books on Demand. This book was released on 2010-01-01 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomedical Engineering is a highly interdisciplinary and well established discipline spanning across engineering, medicine and biology. A single definition of Biomedical Engineering is hardly unanimously accepted but it is often easier to identify what activities are included in it. This volume collects works on recent advances in Biomedical Engineering and provides a bird-view on a very broad field, ranging from purely theoretical frameworks to clinical applications and from diagnosis to treatment.
Download or read book Quantum Fluctuations Of Spacetime written by Lawrence Barr Crowell and published by World Scientific. This book was released on 2005-12-16 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three key aspects of quantum gravity are considered in this book: phenomenology, potential experimental aspects and foundational theory. The phenomenology is the treatment of metric quantum fluctuations as torsional curves that deviate from classical expectations. This leads to possible experimental configurations that may detect such fluctuations. Most of these proposed experiments are quantum optical measurements of subtle quantum gravity effects in the interaction of photons and atoms. The foundational discussions attempt to find an substratum to string theories, which are motivated by the phenomenological treatment. Quantum gravity is not the quantization of general relativity, but is instead the embedding of quantum theory and gravitation into a more fundamental field theoretic framework.
Download or read book Topological Foundations Of Electromagnetism written by Terence William Barrett and published by World Scientific. This book was released on 2008-03-13 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Foundations of Electromagnetism seeks a fundamental understanding of the dynamics of electromagnetism; and marshals the evidence that in certain precisely defined topological conditions, electromagnetic theory (Maxwell's theory) must be extended or generalized in order to provide an explanation and understanding of, until now, unusual electromagnetic phenomena. Key to this generalization is an understanding of the circumstances under which the so-called A potential fields have physical effects. Basic to the approach taken is that the topological composition of electromagnetic fields is the fundamental conditioner of the dynamics of these fields. The treatment of electromagnetism from, first, a topological perspective, continuing through group theory and gauge theory, to a differential calculus description is a major thread of the book. Suggestions for potential new technologies based on this new understanding and approach to conditional electromagnetism are also given.
Download or read book Asymptotics of Elliptic and Parabolic PDEs written by David Holcman and published by Springer. This book was released on 2018-05-25 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Spintronics Handbook Second Edition Spin Transport and Magnetism written by Evgeny Y. Tsymbal and published by CRC Press. This book was released on 2019-05-09 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spintronics Handbook, Second Edition offers an update on the single most comprehensive survey of the two intertwined fields of spintronics and magnetism, covering the diverse array of materials and structures, including silicon, organic semiconductors, carbon nanotubes, graphene, and engineered nanostructures. It focuses on seminal pioneering work, together with the latest in cutting-edge advances, notably extended discussion of two-dimensional materials beyond graphene, topological insulators, skyrmions, and molecular spintronics. The main sections cover physical phenomena, spin-dependent tunneling, control of spin and magnetism in semiconductors, and spin-based applications.
Download or read book L vy Statistics and Spin Glass Behavior in Random Lasers written by Anderson S. L. Gomes and published by CRC Press. This book was released on 2023-02-10 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book could not have been timelier. It describes a multidisciplinary experimental work reported in the literature from 2015 to 2022, supported by a theoretical proposal from 2006, exploiting random lasers and random fiber lasers as a photonic platform to perform statistical physics, as Lévy-like statistics and extreme events, as well as complex systems, including turbulence, replica symmetry breaking (RSB) and Floquet states. Most of the theoretical grounds for these subjects date back to the 1970s. Of particular relevance for the timing for this book is the fact that two of the Nobel Prize winners of 2021 have their work connected through the experimental and theoretical work exploiting random lasers. In fact, the very first demonstration of RSB, a theory proposed by Giorgio Parisi, one of the 2021 Nobel winners, was first experimentally demonstrated in 2015 using random lasers. The scope of the book relies on the description of the already vast literature starting in 2006, but with an experimental explosion since 2015. The book describes the basis of random lasers and random fibers, theoretical background and connection between magnetism and photonics related to RSB, and theoretical backgrounds for experiments in Lévy statistics, turbulence, and Floquet states. The contributors are from three of the groups with most contributions in the field.
Download or read book Nano Biophotonics written by Hiroshi Masuhara and published by Elsevier. This book was released on 2007-02-16 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
