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Titlebook: Disorder and Nonlinearity; Proceedings of the W Alan R. Bishop,David K. Campbell,Stephanos Pnevmat Conference proceedings 19891st edition S

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书目名称Disorder and Nonlinearity
副标题Proceedings of the W
编辑Alan R. Bishop,David K. Campbell,Stephanos Pnevmat
视频video
丛书名称Springer Proceedings in Physics
图书封面Titlebook: Disorder and Nonlinearity; Proceedings of the W Alan R. Bishop,David K. Campbell,Stephanos Pnevmat Conference proceedings 19891st edition S
描述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,
出版日期Conference proceedings 19891st edition
关键词Disorder; Localization; Nonlinearity; Solitons; chaos; deterministic chaos; dynamics; electron; fields; hydro
版次1
doihttps://doi.org/10.1007/978-3-642-74893-6
isbn_softcover978-3-642-74895-0
isbn_ebook978-3-642-74893-6Series ISSN 0930-8989 Series E-ISSN 1867-4941
issn_series 0930-8989
copyrightSpringer-Verlag Berlin Heidelberg 1989
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Wave Transmission in a One-Dimensional Nonlinear Lattice: Multistability and Noisee. By introducing a two- dimensional nonlinear mapping and applying the concepts and methods of nonlinear dynamics to the investigation of such mapping, we discuss some of the interesting properties of the transmission problem. The Holstein molecular crystal model is used as a physical system that m
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Quasiperiodic Physics in One Dimension B’s to A’s, either rational or irrational. These sequences generalize the well-known Fibonacci lattice based on the golden mean, and are natural in the sense that they arise in many physical situations, independently of the exact nature of the interactions. Second, for these natural sequences most
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Space Stochastic Perturbations of a Sine-Gordon Soliton of “relativistic’ extended particles. In this context the study of the dynamics of the Sine-Gordon solitons under stochastic perturbations is of great interest [1,21. Such perturbations can simulate the interaction with a fluctuating external field or the modulation of the substrate potential barri
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The Statistics of Random Backscatter: A Comparison of Theory with Computer Simulationsandom acoustic medium is assumed to have smooth long distance trends, with a small-scale stochastic microstructure. The width of the incident pulse is chosen to be much larger than the random microstructure but much smaller than the macroscopic variations. With this separation into three distinct sp
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Coherent Backscattering and Anderson Localization of Lightis interest has been the suggestion that Anderson localization might be observed in such systems [1,2]. Coherent backscattering of waves in a random medium is the precursor to Anderson localization. The enhanced backward scattering in highly disordered materials is responsible for the renormalizatio
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