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The Arnoldfest
This volume presents articles originating from invited talks at an exciting international conference held at The Fields Institute in Toronto celebrating the sixtieth birthday of the renowned mathematician, Vladimir Arnold. Experts from the world over--including several from "Arnold's school"--gave illuminating talks and lively poster sessions. The presentations focused on Arnold's main areas of interest: singularity theory, the theory of curves, symmetry groups, dynamical systems, mechanics, and related areas of mathematics. The book begins with notes of three lectures by V. Arnold given in the framework of the Institute's Distinguished Lecturer program. The topics of the lectures are: (1) From Hilbert's Superposition Problem to Dynamical Systems (2) Symplectization, Complexification, and Mathematical Trinities (3) Topological Problems in Wave Propagation Theory and Topological Economy Principle in Algebraic Geometry. Arnold's three articles include insightful comments on Russian and Western mathematics and science. Complementing the first is Jurgen Moser's "Recollections", concerning some of the history of KAM theory.
Engineering of Chemical Complexity
This review volume, co-edited by Nobel laureate G Ertl, provides a broad overview on current studies in the understanding of design and control of complex chemical systems of various origins, on scales ranging from single molecules and nano-phenomena to macroscopic chemical reactors. Self-organizational behavior and the emergence of coherent collective dynamics in reactionOCodiffusion systems, reactive soft matter and chemical networks are covered. Special attention is paid to the applications in molecular cell biology and to the problems of biological evolution, synthetic biology and design of artificial living cells.Starting with a detailed introduction on the history of research on complex chemical systems, its current state of the art and perspectives, the book comprises 19 chapters that survey the current progress in particular research fields. The reviews, prepared by leading international experts, yield together a fascinating picture of a rapidly developing research discipline that brings chemical engineering to new frontiers."
Chemical Waves and Patterns
This book focuses on the recent developments that have taken place in the experimental and theoretical study of pattern formation in chemically reacting systems. The major developments have centered around the study of spiral waves in excitable and oscillatory media, chemical wave propagation processes and Turing patterns. On the experimental side the use of continuously-fed unstirred reactors and reactors involving gels or porous media have opened up the possibility of controlled studies of spiral wave dynamics and the discovery of new types of dynamics and interactions. The use of digital imaging methods has allowed both visualization and quantitative study of such chemical waves. The expe...
Pattern Formation and Lattice gas Automata
Articles review the diverse recent progress in the theory and development of lattice-gas and lattice Boltzmann methods and their applications. It features up-to-date articles, takes an interdisciplinary approach including mathematics, physical chemistry, and geophysics.
Classical And Quantum Dynamics In Condensed Phase Simulations: Proceedings Of The International School Of Physics
The school held at Villa Marigola, Lerici, Italy, in July 1997 was very much an educational experiment aimed not just at teaching a new generation of students the latest developments in computer simulation methods and theory, but also at bringing together researchers from the condensed matter computer simulation community, the biophysical chemistry community and the quantum dynamics community to confront the shared problem: the development of methods to treat the dynamics of quantum condensed phase systems.This volume collects the lectures delivered there. Due to the focus of the school, the contributions divide along natural lines into two broad groups: (1) the most sophisticated forms of the art of computer simulation, including biased phase space sampling schemes, methods which address the multiplicity of time scales in condensed phase problems, and static equilibrium methods for treating quantum systems; (2) the contributions on quantum dynamics, including methods for mixing quantum and classical dynamics in condensed phase simulations and methods capable of treating all degrees of freedom quantum-mechanically.
Bridging the Time Scales
The behaviour of many complex materials extends over time- and lengthscales well beyond those that can normally be described using standard molecular dynamics or Monte Carlo simulation techniques. As progress is coming more through refined simulation methods than from increased computer power, this volume is intended as both an introduction and a review of all relevant modern methods that will shape molecular simulation in the forthcoming decade. Written as a set of tutorial reviews, the book will be of use to specialists and nonspecialists alike.
Hydrodynamic Limits and Related Topics
This book presents the lecture notes and articles from the workshop on hydrodynamic limits held at The Fields Institute (Toronto). The first part of the book contains the notes from the mini-course given by Professor S. R. S. Varadhan. The second part contains research articles reviewing the diverse progress in the study of hydrodynamic limits and related areas. This book offers a comprehensive introduction to the theory and its techniques, including entropy and relative entropy methods, large deviation estimates, and techniques in nongradient systems. This book, especially the lectures of Part I, could be used as a text for an advanced graduate course in hydrodynamic limits and interacting particle systems.
Advances in Chemical Physics, Volume 140
This series, Advances in Chemical Physics, provides the chemical physics field with a forum for critical, authoritative evaluations of advances in every area of the discipline.
Noise in Nonlinear Dynamical Systems
A specially written review of all areas of noise and nonlinear in natural environments.
New Trends in Kramers’ Reaction Rate Theory
The escape from metastable states via noise-assisted hopping and/or tunneling is pivotal to many scientific disciplines. It impacts on such diverse physical, chemical and biological processes as diffusion in solids, chemical reactions, nucleation phenomena and transfer of matter and information in biological systems. This volume surveys recent developments in the rate theory of both equilibrium and nonequilibrium processes. The understanding of the classical and quantum-mechanical concepts of this theory is deepened and extended in order to cope with various problems which, in particular, arise in complex systems. A wide range of applications are discussed such as correlated hops in periodic potentials, fluctuating barriers, transitions to limit cycles, discrete time dynamics, random walks on selfsimilar structures, and nonexponential decay in disordered systems is covered and profoundly discussed. For research workers and graduate students in chemistry, physics and biology with an interest in reaction rate theory.
