From Nonlinearity to Coherence

From Nonlinearity to Coherence PDF

Author: John M. Dixon

Publisher: Oxford University Press on Demand

Published: 1997

Total Pages: 608

ISBN-13: 9780198539728

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Nonlinear physics has been growing at an astounding rate over the past two decades and has changed its character from a collection of exotic examples of nonstandard behaviour to an all-embracing scientific methodology. This practical hands-on guide provides an overview of the features ofcondensed matter systems. This book provides self-contained background material, however the centrepiece of the text is the chapter dealing with a systematic development of nonlinear field equations for many-body systems. In order to equip the reader with concrete skills in tackling nonlinearproblems in physics, the authors analyse in great detail several important applications such as metamagnetism, superconductivity, the Hubbard Hamiltonian and the multi-electron atom to name a few. A separate mathematical chapter shows in an easy-to-follow manner how the various integrable nonlineardifferential equations that arise in physics can be solved analytically. This book will serve as a compendium of facts and references related to the subject area of nonlinear condensed matter physics. In addition, it can be used as practical introduction into currently developed nonlinear researchmethods in theoretical physics in general.

From Nonlinearity to Coherence

From Nonlinearity to Coherence PDF

Author: Dr J. M. Dixon

Publisher:

Published: 2023

Total Pages: 0

ISBN-13: 9781383026702

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The centrepiece of the text is the chapter dealing with a systematic development of nonlinear field equations for many-body systems. The book provides an overview of condensed matter systems in a practical 'hands-on guide' format.

Lecture Notes On Turbulence And Coherent Structures In Fluids, Plasmas And Nonlinear Media

Lecture Notes On Turbulence And Coherent Structures In Fluids, Plasmas And Nonlinear Media PDF

Author: Horst Punzmann

Publisher: World Scientific

Published: 2006-11-29

Total Pages: 397

ISBN-13: 981447844X

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This book is based on the lectures delivered at the 19th Canberra International Physics Summer School held at the Australian National University in Canberra (Australia) in January 2006.The problem of turbulence and coherent structures is of key importance in many fields of science and engineering. It is an area which is vigorously researched across a diverse range of disciplines such as theoretical physics, oceanography, atmospheric science, magnetically confined plasma, nonlinear optics, etc. Modern studies in turbulence and coherent structures are based on a variety of theoretical concepts, numerical simulation techniques and experimental methods, which cannot be reviewed effectively by a single expert.The main goal of these lecture notes is to introduce state-of-the-art turbulence research in a variety of approaches (theoretical, numerical simulations and experiments) and applications (fluids, plasmas, geophysics, nonlinear optical media) by several experts. A smooth introduction is presented to readers who are not familiar with the field, while reviewing the most recent advances in the area. This collection of lectures will provide a useful review for both postgraduate students and researchers new to the advancements in this field, as well as specialists seeking to expand their knowledge across different areas of turbulence research.

Semi-classical Analysis For Nonlinear Schrodinger Equations: Wkb Analysis, Focal Points, Coherent States (Second Edition)

Semi-classical Analysis For Nonlinear Schrodinger Equations: Wkb Analysis, Focal Points, Coherent States (Second Edition) PDF

Author: Remi Carles

Publisher: World Scientific

Published: 2020-10-05

Total Pages: 367

ISBN-13: 9811227926

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The second edition of this book consists of three parts. The first one is dedicated to the WKB methods and the semi-classical limit before the formation of caustics. The second part treats the semi-classical limit in the presence of caustics, in the special geometric case where the caustic is reduced to a point (or to several isolated points). The third part is new in this edition, and addresses the nonlinear propagation of coherent states. The three parts are essentially independent.Compared with the first edition, the first part is enriched by a new section on multiphase expansions in the case of weakly nonlinear geometric optics, and an application related to this study, concerning instability results for nonlinear Schrödinger equations in negative order Sobolev spaces.The third part is an overview of results concerning nonlinear effects in the propagation of coherent states, in the case of a power nonlinearity, and in the richer case of Hartree-like nonlinearities. It includes explicit formulas of an independent interest, such as generalized Mehler's formula, generalized lens transform.

Nonlinearity in Condensed Matter

Nonlinearity in Condensed Matter PDF

Author: Alan R. Bishop

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 410

ISBN-13: 3642830331

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The Sixth Annual Conference of the Center for Nonlinear Studies at the Los Alamos National Laboratory was held May 5-9, 1986, on the topic "Nonlinearity in Condensed Matter: Lessons from the Past and Prospects for the Future. " As conference organizers, we felt that the study of non linear phenomena in condensed matter had matured to the point where it made sense to take stock of the numerous lessons to be learned from a variety of contexts where nonlinearity plays a fundamental role and to evaluate the prospects for the growth of this general discipline. The successful 1978 Oxford Symposium on nonlinear (soliton) struc ture and dynamics in condensed matter (Springer Ser. Solid-State Sci. , Vol. 8) was held at a time when the ubiquity of solitons was just begin ning to be appreciated by the condensed matter community; in subsequent years the soliton paradigm has provided a rather useful framework for in vestigating a large number of phenomena, particularly in low-dimensional systems. Nevertheless, we felt that the importance of nonlinearity in wider arenas than "solitonics" merited a significant expansion in the scope of the conference over that of the 1978 symposium. Indeed, many of the lessons are quite general and their potential for cross-fertilization of otherwise poorly connected disciplines was certainly one of the prime motivations for this conference. Thus, while these proceedings contain many contribu tions pertaining to soliton behavior in different contexts, the reader will find much more as well, particularly in the later chapters.

Coherent Laser Beam Combining

Coherent Laser Beam Combining PDF

Author: Arnaud Brignon

Publisher: John Wiley & Sons

Published: 2013-11-13

Total Pages: 498

ISBN-13: 3527652795

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Laser beam combining techniques allow increasing the power of lasers far beyond what it is possible to obtain from a single conventional laser.One step further, coherent beam combining (CBC) also helps to maintain the very unique properties of the laser emission with respect to its spectral and spatial properties. Such lasers are of major interest for many applications, including industrial, environmental, defense, and scientific applications. Recently, significant progress has beenmade in coherent beam combining lasers, with a total output power of 100 kW already achieved. Scaling analysis indicates that further increase of output power with excellent beam quality is feasible by using existing state-of-the-art lasers. Thus, the knowledge of coherent beam combining techniques will become crucial for the design of next-generation highpower lasers. The purpose of this book is to present the more recent concepts of coherent beam combining by world leader teams in the field.

Nonlinear Coherent Structures in Physics and Biology

Nonlinear Coherent Structures in Physics and Biology PDF

Author: K.H. Spatschek

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 476

ISBN-13: 1489913432

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This volume contains the Proceedings of the NATO Advanced Research Workshop (ARW) and Emil-Warburg-Symposium (EWS) "Nonlinear Coherent Structures in Phy sics and Biology" held at the University of Bayreuth from June 1 -4, 1993. Director of the ARW was K. H. Spatschek, while F.G. Mertens acted as the co-director, host, and organizer of the EWS. The other members of the scientific organizing committee were A.R. Bishop (Los Alamos), J.C. Eilbeck (Edinburgh), and M. Remoissenet (Dijon). This was the eighth meeting in a series of interdisciplinary workshops founded by our French colleagues who had organized all the previous workshops, e.g. 1989 in Montpel lier and 1991 in Dijon. We were asked to organize the meeting this time in Germany. Of course, we wanted to keep the character defined by the previous meetings, which were always characterized by an open and friendly atmosphere, being not too large in quantity, but high in quality. This time altogether 103 participants attended the workshop. During the past years most of the participants met several times and discussed problems connected with the generation of nonlinear coherent structures in physics and biology.

Progress in Photorefractive Nonlinear Optics

Progress in Photorefractive Nonlinear Optics PDF

Author: Kazuo Kuroda

Publisher: CRC Press

Published: 2002-03-14

Total Pages: 336

ISBN-13: 1482264951

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This monograph collects together papers by leading researchers in the field of photorefractive nonlinear optics. All of the works are presented by eminent researchers in their field and cover topics such as wave mixing in nonlinear optical materials; photorefractive semiconductors; organic photorefractive materials and volume holographic storage.