Disorder And Nonlinearity
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Disorder and Nonlinearity
Author | : Alan R. Bishop,David K. Campbell,Stephanos Pnevmatikos |
Publsiher | : Springer Science & Business Media |
Total Pages | : 151 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9783642748936 |
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ill the past three decades there has been enonnous progress in identifying the es sential role that "nonlinearity" plays in physical systems. Classical nonlinear wave equations can support localized, stable "soliton" solutions, and nonlinearities in quantum systems can lead to self-trapped excitations, such as polarons. Since these nonlinear excitations often dominate the transport and response properties of the systems in which they exist, accurate modeling of their effects is essential to interpreting a wide range of physical phenomena. Further, the dramatic de velopments in "deterministic chaos", including the recognition that even simple nonlinear dynamical systems can produce seemingly random temporal evolution, have similarly demonstrated that an understanding of chaotic dynamics is vital to an accurate interpretation of the behavior of many physical systems. As a conse quence of these two developments, the study of nonlinear phenomena has emerged as a subject in its own right. During these same three decades, similar progress has occurred in understand ing the effects of "disorder". Stimulated by Anderson's pioneering work on "dis ordered" quantum solid state materials, this effort has also grown into a field that now includes a variety of classical and quantum systems and treats "disorder" arising from many sources, including impurities, random spatial structures, and stochastic applied fields. Significantly, these two developments have occurred rather independently, with relatively little overlapping research.
Fluctuation Phenomena Disorder And Nonlinearity Proceedings Of The International Workshop
Author | : Luis Vazquez,A R Bishop,S Jimenez |
Publsiher | : World Scientific |
Total Pages | : 444 |
Release | : 1995-05-04 |
Genre | : Electronic Book |
ISBN | : 9789814603775 |
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This book addresses the issues of nonlinearity and disorder. It covers mathematical and numerical techniques as well as applications of nonlinearity and disorder. The analysis of continuous and discrete systems is also shown.
Nonlinearity with Disorder
Author | : Fatkulla Abdullaev,Alan R. Bishop,Stephanos Pnevmatikos |
Publsiher | : Springer Science & Business Media |
Total Pages | : 320 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9783642847745 |
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In the past three decades there has been enormous progress in identifying the essential role that nonlinearity plays in physical systems, including supporting soliton-like solutions and self-trapped sxcitations such as polarons. during the same period, similarly impressive progress has occurred in understanding the effects of disorder in linear quantum problems, especially regarding Anderson localization arising from impurities, random spatial structures, stochastic applied fields, and so forth. These striking consequences of disorder, noise and nonlinearity frequently occur together in physical systems. Yet there have been only limited attempts to develop systematic techniques which can include all of these ingredients, which may reinforce, complement or frustrate each other. This book contains a range of articles which provide important steps toward the goal of systematic understanding and classification of phenomenology. Experts from Australia, Europe, Japan, USA, and the USSR describe both mathematical and numerical techniques - especially from soliton and statistical physics disciplines - and applicaations to a number of important physical systems and devices, including optical and electronic transmission lines, liquid crystals, biophysics and magnetism.
Nonlinearity and Disorder Theory and Applications
Author | : Fatkhulla Abdullaev,Ole Bang,Mads Peter Sørensen |
Publsiher | : Springer Science & Business Media |
Total Pages | : 444 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9789401005425 |
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Proceedings of the NATO Advanced Research Workshop, Tashkent, Uzbekistan, 2-6 October 2001
Disorder and Nonlinearity
![Disorder and Nonlinearity](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Alan R Bishop,David K Campbell,Stephanos Pnevmatikos |
Publsiher | : Unknown |
Total Pages | : 156 |
Release | : 1989-09-14 |
Genre | : Electronic Book |
ISBN | : 3642748945 |
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Nonlinearity with Disorder
Author | : Fatkulla Abdullaev,Alan R. Bishop,Stephanos Pnevmatikos |
Publsiher | : Springer |
Total Pages | : 311 |
Release | : 1992-08-25 |
Genre | : Science |
ISBN | : 3540554742 |
Download Nonlinearity with Disorder Book in PDF, Epub and Kindle
In the past three decades there has been enormous progress in identifying the essential role that nonlinearity plays in physical systems, including supporting soliton-like solutions and self-trapped sxcitations such as polarons. during the same period, similarly impressive progress has occurred in understanding the effects of disorder in linear quantum problems, especially regarding Anderson localization arising from impurities, random spatial structures, stochastic applied fields, and so forth. These striking consequences of disorder, noise and nonlinearity frequently occur together in physical systems. Yet there have been only limited attempts to develop systematic techniques which can include all of these ingredients, which may reinforce, complement or frustrate each other. This book contains a range of articles which provide important steps toward the goal of systematic understanding and classification of phenomenology. Experts from Australia, Europe, Japan, USA, and the USSR describe both mathematical and numerical techniques - especially from soliton and statistical physics disciplines - and applicaations to a number of important physical systems and devices, including optical and electronic transmission lines, liquid crystals, biophysics and magnetism.
Nonlinearity in Condensed Matter
Author | : Alan R. Bishop,David K. Campbell,Steven E. Trullinger,Pradeep Kumar |
Publsiher | : Springer Science & Business Media |
Total Pages | : 410 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9783642830334 |
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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.
Supersymmetry in Disorder and Chaos
Author | : Konstantin Efetov |
Publsiher | : Cambridge University Press |
Total Pages | : 470 |
Release | : 1999-09-13 |
Genre | : Mathematics |
ISBN | : 0521663822 |
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This book provides a comprehensive treatment of the ideas and applications of supersymmetry.