[PDF] Linear Response Theory And Dynamics Of Non Linear Fluctuations eBook

Author : J.K. Bhattacharjee
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 30,35 MB
Release : 2007-12-27
Category : Science
ISBN : 1402053886

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This text gives a detailed account of various techniques that are used in the study of dynamics of continuous systems, near as well as far from equilibrium. The analytic methods covered include diagrammatic perturbation theory, various forms of the renormalization group, and self-consistent mode coupling.

Author : H.G Solari
Publisher : Routledge
Page : 369 pages
File Size : 41,82 MB
Release : 2019-01-22
Category : Mathematics
ISBN : 1351428306

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Nonlinear Dynamics: A Two-Way Trip from Physics to Math provides readers with the mathematical tools of nonlinear dynamics to tackle problems in all areas of physics. The selection of topics emphasizes bifurcation theory and topological analysis of dynamical systems. The book includes real-life problems and experiments as well as exercises and work

Author : V. B. Sheorey
Publisher : Alpha Science Int'l Ltd.
Page : 264 pages
File Size : 27,70 MB
Release : 1999
Category : Mathematics
ISBN : 9788173192838

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The 24 articles presented in this volume cover emerging areas in nonlinear dynamics. They discuss a range of topics, from chaotic quantum systems to nonlinear dynamics of the earth's magnetosphere and from microscopic chaos and nonequilibrium statistical mechanics to nonlinear dynamics of human brain activity. The articles are written by leading researchers both from India and other countries. It is hoped that the volume will provide information and inspiration, and suggest new research directions, both to the expert and novice alike.

Author : George Pavlov
Publisher : Cambridge Scholars Publishing
Page : 212 pages
File Size : 40,85 MB
Release : 2023-06-21
Category : Science
ISBN : 1527540634

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This book develops a theory of the nonlinear response of densely charged and neutral media to electric and electromagnetic fields and gradients of hydrodynamic variables. It considers phenomena related to the nonlinear response of the media to plasma echo, transformation of waves, and parametric and second harmonic generation of radiation, and determines exact expressions and calculation methods for Burnett transport coefficients describing heat, mass, momentum and charge flows. It also discusses the use of transport coefficients in hydrodynamic tasks outside the framework of Euler’s theorem on homogeneous functions. It analyses in detail the thermal regimes calculated using linear and non-linear transport coefficients in the cavity of a gas-phase nuclear reactor, and in the shock layer of a spacecraft moving in the atmosphere of Mars during a soft landing on the planet. The book will appeal to researchers, as well as postgraduate and undergraduate students, working and specializing in the field of physics and gas dynamics of densely charged and neutral media characterized by chemical reactions.

Author : Rouslan L. Stratonovich
Publisher : Springer
Page : 0 pages
File Size : 37,57 MB
Release : 1992-11-20
Category : Science
ISBN : 9783540552161

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This book gives the first detailed coherent treatment of a relatively young branch of statistical physics - nonlinear nonequilibrium and fluctuation-dissipative thermo dynamics. This area of research has taken shape fairly recently: its development began in 1959. The earlier theory -linear nonequilibrium thermodynamics - is in principle a simple special case of the new theory. Despite the fact that the title of this book includes the word "nonlinear", it also covers the results of linear nonequilibrium thermodynamics. The presentation of the linear and nonlinear theories is done within a common theoretical framework that is not subject to the linearity condition. The author hopes that the reader will perceive the intrinsic unity of this discipline, and the uniformity and generality of its constituent parts. This theory has a wide variety of applications in various domains of physics and physical chemistry, enabling one to calculate thermal fluctuations in various nonlinear systems. The book is divided into two volumes. Fluctuation-dissipation theorems (or relations) of various types (linear, quadratic and cubic, classical and quantum) are considered in the first volume. Here one encounters the Markov and non-Markov fluctuation-dissipation theorems (FDTs), theorems of the first, second and third kinds. Nonlinear FDTs are less well known than their linear counterparts.

Author : E. Atlee Jackson
Publisher : CUP Archive
Page : 532 pages
File Size : 28,71 MB
Release : 1989
Category : Mathematics
ISBN : 9780521426329

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The dynamics of physical, chemical, biological, or fluid systems generally must be described by nonlinear models, whose detailed mathematical solutions are not obtainable. To understand some aspects of such dynamics, various complementary methods and viewpoints are of crucial importance. In this book the perspectives generated by analytical, topological and computational methods, and interplays between them, are developed in a variety of contexts. This book is a comprehensive introduction to this field, suited to a broad readership, and reflecting a wide range of applications. Some of the concepts considered are: topological equivalence; embeddings; dimensions and fractals; Poincaré maps and map-dynamics; empirical computational sciences vis-á-vis mathematics; Ulam's synergetics; Turing's instability and dissipative structures; chaos; dynamic entropies; Lorenz and Rossler models; predator-prey and replicator models; FPU and KAM phenomena; solitons and nonsolitons; coupled maps and pattern dynamics; cellular automata.

Author : Bruce J. West
Publisher : Cambridge University Press
Page : 386 pages
File Size : 10,86 MB
Release : 2010-12-23
Category : Technology & Engineering
ISBN : 1139493779

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Complex Webs synthesises modern mathematical developments with a broad range of complex network applications of interest to the engineer and system scientist, presenting the common principles, algorithms, and tools governing network behaviour, dynamics, and complexity. The authors investigate multiple mathematical approaches to inverse power laws and expose the myth of normal statistics to describe natural and man-made networks. Richly illustrated throughout with real-world examples including cell phone use, accessing the Internet, failure of power grids, measures of health and disease, distribution of wealth, and many other familiar phenomena from physiology, bioengineering, biophysics, and informational and social networks, this book makes thought-provoking reading. With explanations of phenomena, diagrams, end-of-chapter problems, and worked examples, it is ideal for advanced undergraduate and graduate students in engineering and the life, social, and physical sciences. It is also a perfect introduction for researchers who are interested in this exciting new way of viewing dynamic networks.