Nonlinearity in Condensed Matter

Nonlinearity in Condensed Matter

Author: Alan R. Bishop

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 410

ISBN-13: 3642830331

DOWNLOAD EBOOK

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.


Nonlinear Physical Phenomena - Proceedings Of The International Centre Of Condensed Matter Physics School

Nonlinear Physical Phenomena - Proceedings Of The International Centre Of Condensed Matter Physics School

Author: Alvaro Ferraz

Publisher: World Scientific

Published: 1990-11-30

Total Pages: 272

ISBN-13: 9813201185

DOWNLOAD EBOOK

Non-linear effects are basically manifested in a variety of physical phenomena such as defect mediated transitions, pattern formation, growth of aggregates, turbulence, chemical reactions, diffusion in porous media, biological information processing, etc. Many non-linear dynamical systems are extremely sensitive to small changes in the initial conditions. Different routes to chaos have been established and a new geometry, called fractal geometry, has been developed. The aim of this School is to review the main achievements of the modern theory of irregular structures and to discuss the exciting new trends in non-linear phenomena.


Fluctuating Nonlinear Oscillators

Fluctuating Nonlinear Oscillators

Author: Mark Dykman

Publisher: Oxford University Press

Published: 2012-07-26

Total Pages: 446

ISBN-13: 019969138X

DOWNLOAD EBOOK

The book provides a unifying insight into a broad range of phenomena displayed by vibrational systems of current interest. The chapters complement each other to give an account of the major fundamental results and applications in quantum information, condensed matter physics, and engineering.


Nonlinear PDE’s in Condensed Matter and Reactive Flows

Nonlinear PDE’s in Condensed Matter and Reactive Flows

Author: Henri Berestycki

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 525

ISBN-13: 9401003076

DOWNLOAD EBOOK

Nonlinear partial differential equations abound in modern physics. The problems arising in these fields lead to fascinating questions and, at the same time, progress in understanding the mathematical structures is of great importance to the models. Nevertheless, activity in one of the approaches is not always sufficiently in touch with developments in the other field. The book presents the joint efforts of mathematicians and physicists involved in modelling reactive flows, in particular superconductivity and superfluidity. Certain contributions are fundamental to an understanding of such cutting-edge research topics as rotating Bose-Einstein condensates, Kolmogorov-Zakharov solutions for weak turbulence equations, and the propagation of fronts in heterogeneous media.


Introduction to Nonlinear Optical Effects in Molecules and Polymers

Introduction to Nonlinear Optical Effects in Molecules and Polymers

Author: Paras N. Prasad

Publisher: Wiley-Interscience

Published: 1991-01-16

Total Pages: 328

ISBN-13:

DOWNLOAD EBOOK

Molecular Dynamics in Restricted Geometries Edited by Joseph Klafter and J. M. Drake This investigation of the chemistry and physics of complex systems focuses on the role of spatial restrictions on molecular movement. A practical source-book for researchers in chemical physics, chemical engineering, and condensed matter physics, and for graduate students in these fields, it covers a broad range of topics and critically evaluates methods as they are employed. Among the many topics it covers are: relaxation and diffusion in restricted geometries, excitation energy transfer and photoinduced electron transfer phenomena in some confined systems, electron excitation transport in micelles, polymers and multilayers, and electron excitation transport on polymer chains. 1989 (0 471-60176-4) 437 pp.


Encyclopedia of Nonlinear Science

Encyclopedia of Nonlinear Science

Author: Alwyn Scott

Publisher: Routledge

Published: 2006-05-17

Total Pages: 1107

ISBN-13: 1135455589

DOWNLOAD EBOOK

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.


Physics of Nonlinear Optics

Physics of Nonlinear Optics

Author: Y. V. G. S. Murti

Publisher: Springer Nature

Published: 2021-07-20

Total Pages: 188

ISBN-13: 3030739791

DOWNLOAD EBOOK

The book is designed to serve as a textbook for courses offered to upper-undergraduate students enrolled in physics. The first edition of this book was published in 2014. As there is a demand for the next edition, it is quite natural to take note of the several advances that have occurred in the subject over the past five years and to decide which of these are appropriate for inclusion at the textbook level, given the fundamental nature and the significance of the subject area. This is the prime motivation for bringing out a revised second edition. Among the newer mechanisms and materials, the book introduces the super-continuum generation, which arises from an excellent interplay of the various mechanisms of optical nonlinearity. The topics covered in this book are quantum mechanics of nonlinear interaction of matter and radiation, formalism and phenomenology of nonlinear wave mixing processes, optical phase conjugation and applications, self-focusing and self-phase modulation and their role in pulse modification, nonlinear absorption mechanisms, and optical limiting applications, photonic switching and bi-stability, and physical mechanisms leading to a nonlinear response in a variety of materials. This book has emerged from an attempt to address the requirement of presenting the subject at the college level. This textbook includes rigorous features such as the elucidation of relevant basic principles of physics; a clear exposition of the ideas involved at an appropriate level; coverage of the physical mechanisms of non-linearity; updates on physical mechanisms and emerging photonic materials and emphasis on the experimental study of nonlinear interactions. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in physics and related courses.


Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media

Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media

Author: Ludmilla A. Uvarova

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 415

ISBN-13: 1461547997

DOWNLOAD EBOOK

The articles in this book are derived from the Third International Conference of the same name, held June 29-July 3, 1998. Topics include: nonlinear exaltations in condensed systems, evolution of complex systems, dynamics and structure of molecular and biomolecular systems, mathematical models of transfer processes in nonlinear systems and numerical modeling and algorithms.


Introduction to Nonlinear Physics

Introduction to Nonlinear Physics

Author: Lui Lam

Publisher: Springer Science & Business Media

Published: 2003-11-14

Total Pages: 436

ISBN-13: 9780387406145

DOWNLOAD EBOOK

This textbook provides an introduction to the new science of nonlinear physics for advanced undergraduates, beginning graduate students, and researchers entering the field. The chapters, by pioneers and experts in the field, share a unified perspective. Nonlinear science developed out of the increasing ability to investigate and analyze systems for which effects are not simply linear functions of their causes; it is associated with such well-known code words as chaos, fractals, pattern formation, solitons, cellular automata, and complex systems. Nonlinear phenomena are important in many fields, including dynamical systems, fluid dynamics, materials science, statistical physics, and paritcel physics. The general principles developed in this text are applicable in a wide variety of fields in the natural and social sciences. The book will thus be of interest not only to physicists, but also to engineers, chemists, geologists, biologists, economists, and others interested in nonlinear phenomena. Examples and exercises complement the text, and extensive references provide a guide to research in the field.