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The Discrete Nonlinear Schrödinger Equation
This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrödinger equation and the physical settings that it describes.
The sine-Gordon Model and its Applications
The sine-Gordon model is a ubiquitous model of Mathematical Physics with a wide range of applications extending from coupled torsion pendula and Josephson junction arrays to gravitational and high-energy physics models. The purpose of this book is to present a summary of recent developments in this field, incorporating both introductory background material, but also with a strong view towards modern applications, recent experiments, developments regarding the existence, stability, dynamics and asymptotics of nonlinear waves that arise in the model. This book is of particular interest to a wide range of researchers in this field, but serves as an introductory text for young researchers and students interested in the topic. The book consists of well-selected thematic chapters on diverse mathematical and physical aspects of the equation carefully chosen and assigned.
A Dynamical Perspective on the ɸ4 Model
This book presents a careful selection of the most important developments of the \phi^4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. Over the past four decades, the \phi^4 model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of \phi^4 (and \phi^6, \phi^8, \phi^12 variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves.
Nonlinear Systems, Vol. 2
This book presents an overview of the most recent advances in nonlinear science. It provides a unified view of nonlinear properties in many different systems and highlights many new developments. While volume 1 concentrates on mathematical theory and computational techniques and challenges, which are essential for the study of nonlinear science, this second volume deals with nonlinear excitations in several fields. These excitations can be localized and transport energy and matter in the form of breathers, solitons, kinks or quodons with very different characteristics, which are discussed in the book. They can also transport electric charge, in which case they are known as polarobreathers or...
Nomadic Pathways in Social Evolution
The book is written by anthropologists, historians, and archaeologists specializing in nomadic studies. All the chapters presented here discuss various aspects of one significant problem: how could small nomadic peoples at the outskirts of agricultural civilizations subjugate vast territories between the Mediterranean and the Pacific? What was the impetus that set in motion the overwhelming forces of the nomads which made tremble the royal courts of Europe and Asia? Was it an outcome of any predictable historical process or a result of a chain of random events? A wide sample of nomadic peoples is discussed, mainly on the basis of new data
Hidden Tibet
Tibet is a land of mysteries. It is not only about religion and occultism: its history remains largely hidden. This book disproves some of the erroneous views on the history and religion of the Tibetans. Tibet has never been a part of China. At the time when China was an inalienable part of the Mongolian Yuan Empire and Manchu Qing Empire, Tibet was a separate country dependent on the Mongol and Manchu emperors, but never lost its statehood. A widespread view that Tibet was an integral part of neighboring empires is related to an ancient Chinese concept of the emperor's universal power. Chinese claims to the "legacy" of the Mongol and Manchu empires are unfounded. Incorporating the name of t...
Quodons in Mica
This book presents the current knowledge about nonlinear localized travelling excitations in crystals. Excitations can be vibrational, electronic, magnetic or of many other types, in many different types of crystals, as silicates, semiconductors and metals. The book is dedicated to the British scientist FM Russell, recently turned 80. He found 50 years ago that a mineral mica muscovite was able to record elementary charged particles and much later that also some kind of localized excitations, he called them quodons, was also recorded. The tracks, therefore, provide a striking experimental evidence of quodons existence. The first chapter by him presents the state of knowledge in this topic. It is followed by about 18 chapters from world leaders in the field, reviewing different aspects, materials and methods including experiments, molecular dynamics and theory and also presenting the latest results. The last part includes a personal narration of FM Russell of the deciphering of the marks in mica. It provides a unique way to present the science in an accessible way and also illustrates the process of discovery in a scientist's mind.
Trends in Surface Science Research
This book covers the physics and chemistry of surfaces. The scope includes the structure, thermodynamics, and mobility of clean surfaces, as well as the interaction of gas molecules with solid surfaces. The energetic particle interactions that are the basis for the majority of techniques developed to reveal the structure and chemistry of surfaces are explored including auger electron spectroscopy, photoelectron spectroscopy, inelastic scattering of electrons and ions, low energy electron diffraction, scanning probe microscopy, and interfacial segregation. Crystal nucleation and growth are also considered. Principles such as adsorption, desorption and reactions between adsorbates are examined, with coverage also of new developments in the growth of epitaxial, and Langmuir-Blodgett films, as well as treatment of the etching of surfaces. Modern analytical techniques and applications to thin films and nanostructures are included. The latest in-depth research from around the world is presented.
IUTAM Symposium on Mesoscopic Dynamics of Fracture Process and Materials Strength
This volume contains the papers presented at the IUT AM Symposium of "Mesoscopic Dynamics of Fracture Process and Materials Strength", held in July 2003, at the Hotel Osaka Sun Palace, Osaka, Japan. The Symposium was proposed in 2001, aiming at organizing concentrated discussions on current understanding of fracture process and inhomogeneous deformation governing the materials strength with emphasis on the mesoscopic dynamics associated with evolutional mechanical behaviour under micro/macro mutual interaction. The decision of the General Assembly of International Union of Theoretical and Applied Mechanics (IUT AM) to accept our proposal was well-timed and attracted attention. Driven by the ...
