Evolution of Spontaneous Structures in Dissipative Continuous Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540495371
Total Pages : 586 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Evolution of Spontaneous Structures in Dissipative Continuous Systems by : Friedrich H. Busse

Download or read book Evolution of Spontaneous Structures in Dissipative Continuous Systems written by Friedrich H. Busse and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the decades the of the formation of structures past subject spontaneous in far from has into a branch of - systems equilibrium major physics grown search with ties to It has become evident that strong neighboring disciplines. a diverse of can be understood within a common mat- phenomena range matical framework which has been called nonlinear of continuous dynamics This name the close to the field of nonlinear systems. emphasizes relationship of with few of freedom which has evolved into a dynamics systems degrees mature in the recent features mathematically subject past. Many dynamical of continuous be described reduction few can a to a systems actually through of freedom and of the latter of continue to degrees properties type systems of continuous the inspire study systems. The of this book is to demonstrate the numerous goal through examples that exist for the of nonlinear the opportunities study phenomena through tools of mathematical and use of common analyses dynamical interpretations. Instead of overview of the a providing comprehensive rapidly evolving field, the contributors to this book are to communicate to a wide scientific trying audience the of what have learnt about the formation of essence they spon- neous structures in continuous and about the dissipative systems competition between order and chaos that characterizes these It is that systems. hoped the book will be even to those scientists whose not helpful are disciplines the authors.

Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems

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Publisher : Springer
ISBN 13 : 9781468457940
Total Pages : 569 pages
Book Rating : 4.4/5 (579 download)

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Book Synopsis Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems by : F.H. Busse

Download or read book Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems written by F.H. Busse and published by Springer. This book was released on 2013-06-14 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers contributed to the NATO Advanced Research Workshop "Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems" held in Streitberg, Fed. Rep. Germany, Sept. 24 through 30, 1989. The purpose of the rather long title has been to focus attention on a particularly fruitful direction of research within the broad field covered by terms like Nonlinear Dynamics or Non-Equilibrium Systems. After physicists have been occupied for several decades mainly with the microscopic structure of matter, recent years have witnessed a resurgence of interest in macroscopic patterns and dynamics. Research on these latter phenomena has not been dormant, of course, since fluid dynamicists interested in the origin of turbulence, meteorologists studying weather patterns and numerous other scientists have continued to advance the understanding of the structures relevant to their disciplines. The recent progress in the dynamics of nonl inear systems wi th few degrees of freedom and the discovery of universal laws such as the Feigenbaum scaling of period-doubling cascades has given rise to new hopes for the understanding of common principles underlying the spontaneous formation of structures in extended continuous systems.

Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1468457934
Total Pages : 552 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems by : F.H. Busse

Download or read book Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems written by F.H. Busse and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers contributed to the NATO Advanced Research Workshop "Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems" held in Streitberg, Fed. Rep. Germany, Sept. 24 through 30, 1989. The purpose of the rather long title has been to focus attention on a particularly fruitful direction of research within the broad field covered by terms like Nonlinear Dynamics or Non-Equilibrium Systems. After physicists have been occupied for several decades mainly with the microscopic structure of matter, recent years have witnessed a resurgence of interest in macroscopic patterns and dynamics. Research on these latter phenomena has not been dormant, of course, since fluid dynamicists interested in the origin of turbulence, meteorologists studying weather patterns and numerous other scientists have continued to advance the understanding of the structures relevant to their disciplines. The recent progress in the dynamics of nonl inear systems wi th few degrees of freedom and the discovery of universal laws such as the Feigenbaum scaling of period-doubling cascades has given rise to new hopes for the understanding of common principles underlying the spontaneous formation of structures in extended continuous systems.

Collective Dynamics of Nonlinear and Disordered Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540268693
Total Pages : 377 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Collective Dynamics of Nonlinear and Disordered Systems by : Günter Radons

Download or read book Collective Dynamics of Nonlinear and Disordered Systems written by Günter Radons and published by Springer Science & Business Media. This book was released on 2005-11-02 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase transitions in disordered systems and related dynamical phenomena are a topic of intrinsically high interest in theoretical and experimental physics. This book presents a unified view, adopting concepts from each of the disjoint fields of disordered systems and nonlinear dynamics. Special attention is paid to the glass transition, from both experimental and theoretical viewpoints, to modern concepts of pattern formation, and to the application of the concepts of dynamical systems for understanding equilibrium and nonequilibrium properties of fluids and solids. The content is accessible to graduate students, but will also be of benefit to specialists, since the presentation extends as far as the topics of ongoing research work.

Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642565891
Total Pages : 820 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems by : Bernold Fiedler

Download or read book Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems written by Bernold Fiedler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting very recent results in a major research area, this book is addressed to experts and non-experts in the mathematical community alike. The applied issues range from crystallization and dendrite growth to quantum chaos, conveying their significance far into the neighboring disciplines of science.

Hydrodynamic Fluctuations in Fluids and Fluid Mixtures

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Publisher : Elsevier
ISBN 13 : 9780080459431
Total Pages : 320 pages
Book Rating : 4.4/5 (594 download)

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Book Synopsis Hydrodynamic Fluctuations in Fluids and Fluid Mixtures by : Jose M. Ortiz de Zarate

Download or read book Hydrodynamic Fluctuations in Fluids and Fluid Mixtures written by Jose M. Ortiz de Zarate and published by Elsevier. This book was released on 2006-04-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with density, temperature, velocity and concentration fluctuations in fluids and fluid mixtures. The book first reviews thermal fluctuations in equilibrium fluids on the basis of fluctuating hydrodynamics. It then shows how the method of fluctuating hydrodynamics can be extended to deal with hydrodynamic fluctuations when the system is in a stationary nonequilibrium state. In contrast to equilibrium fluids where the fluctuations are generally short ranged unless the system is close to a critical point, fluctuations in nonequilibrium fluids are always long-ranged encompassing the entire system. The book provides the first comprehensive treatment of fluctuations in fluids and fluid mixtures brought out of equilibrium by the imposition of a temperature and concentration gradient but that are still in a macroscopically quiescent state. By incorporating appropriate boundary conditions in the case of fluid layers, it is shown how fluctuating hydrodynamics affects the fluctuations close to the onset of convection. Experimental techniques of light scattering and shadowgraphy for measuring nonequilibrium fluctuations are elucidated and the experimental results thus far reported in the literature are reviewed. · Systematic exposition of fluctuating hydrodynamics and its applications · First book on nonequilibrium fluctuations in fluids · Fluctuating Boussinesq equations and nonequilibrium fluids · Fluid layers and onset of convection · Rayleigh scattering and Brillouin scattering in fluids · Shadowgraph technique for measuring fluctuations · Fluctuations near hydrodynamic instabilities

Intermittency in Turbulent Flows

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Publisher : Cambridge University Press
ISBN 13 : 9780521792219
Total Pages : 292 pages
Book Rating : 4.7/5 (922 download)

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Book Synopsis Intermittency in Turbulent Flows by : J. C. Vassilicos

Download or read book Intermittency in Turbulent Flows written by J. C. Vassilicos and published by Cambridge University Press. This book was released on 2001 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume was the product of a workshop held at the Newton Institute in Cambridge, and examines turbulence, intermittency, nonlinear dynamics and fluid mechanics.

Nonlinear PDEs: A Dynamical Systems Approach

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Publisher : American Mathematical Soc.
ISBN 13 : 1470436132
Total Pages : 575 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nonlinear PDEs: A Dynamical Systems Approach by : Guido Schneider

Download or read book Nonlinear PDEs: A Dynamical Systems Approach written by Guido Schneider and published by American Mathematical Soc.. This book was released on 2017-10-26 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory textbook about nonlinear dynamics of PDEs, with a focus on problems over unbounded domains and modulation equations. The presentation is example-oriented, and new mathematical tools are developed step by step, giving insight into some important classes of nonlinear PDEs and nonlinear dynamics phenomena which may occur in PDEs. The book consists of four parts. Parts I and II are introductions to finite- and infinite-dimensional dynamics defined by ODEs and by PDEs over bounded domains, respectively, including the basics of bifurcation and attractor theory. Part III introduces PDEs on the real line, including the Korteweg-de Vries equation, the Nonlinear Schrödinger equation and the Ginzburg-Landau equation. These examples often occur as simplest possible models, namely as amplitude or modulation equations, for some real world phenomena such as nonlinear waves and pattern formation. Part IV explores in more detail the connections between such complicated physical systems and the reduced models. For many models, a mathematically rigorous justification by approximation results is given. The parts of the book are kept as self-contained as possible. The book is suitable for self-study, and there are various possibilities to build one- or two-semester courses from the book.

Complex Macromolecular Systems I

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Publisher : Springer
ISBN 13 : 3642128769
Total Pages : 220 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Complex Macromolecular Systems I by : Axel H. E. Müller

Download or read book Complex Macromolecular Systems I written by Axel H. E. Müller and published by Springer. This book was released on 2010-07-20 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: -Effects of Electric Fields on Block Copolymer Nanostructures By H. G. Schoberth, V. Olszowka, K. Schmidt, and A. Böker -Nanopattern Evolution in Block Copolymer Films: Experiment, Simulations and Challenges By L. Tsarkova, G.J. Agur Sevink, and G. Krausch -Controlled Wrinkling as a Novel Method for the Fabrication of Patterned Surfaces By A. Schweikart, A. Horn, A. Böker, and A. Fery -Layered Systems Under Shear Flow By D. Svenšek and H. R. Brand -Thermal Diffusion in Polymer Blends: Criticality and Pattern Formation By W. Köhler, A. Krekhov, and W. Zimmermann -Foaming of Microstructured and Nanostructured Polymer Blends By H. Ruckdäschel, P. Gutmann, V. Altstädt, H. Schmalz, and A.H.E. Müller

Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402043536
Total Pages : 360 pages
Book Rating : 4.0/5 (435 download)

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Book Synopsis Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems by :

Download or read book Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems written by and published by Springer Science & Business Media. This book was released on 2006 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402043543
Total Pages : 356 pages
Book Rating : 4.0/5 (435 download)

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Book Synopsis Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems by : Alexander A. Golovin

Download or read book Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems written by Alexander A. Golovin and published by Springer Science & Business Media. This book was released on 2006 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nano-science and nano-technology are rapidly developing scientific and technological areas that deal with physical, chemical and biological processes that occur on nano-meter scale – one millionth of a millimeter. Self-organization and pattern formation play crucial role on nano-scales and promise new, effective routes to control various nano-scales processes. This book contains lecture notes written by the lecturers of the NATO Advanced Study Institute "Self-Assembly, Pattern Formation and Growth Phenomena in Nano-Systems" that took place in St Etienne de Tinee, France, in the fall 2004. They give examples of self-organization phenomena on micro- and nano-scale as well as examples of the interplay between phenomena on nano- and macro-scales leading to complex behavior in various physical, chemical and biological systems. They discuss such fascinating nano-scale self-organization phenomena as self-assembly of quantum dots in thin solid films, pattern formation in liquid crystals caused by light, self-organization of micro-tubules and molecular motors, as well as basic physical and chemical phenomena that lead to self-assembly of the most important molecule on the basis of which most of living organisms are built – DNA. A review of general features of all pattern forming systems is also given. The authors of these lecture notes are the leading experts in the field of self-organization, pattern formation and nonlinear dynamics in non-equilibrium, complex systems.

Stochastic Processes in Physics, Chemistry, and Biology

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Publisher : Springer
ISBN 13 : 3540453962
Total Pages : 512 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Stochastic Processes in Physics, Chemistry, and Biology by : Jan A. Freund

Download or read book Stochastic Processes in Physics, Chemistry, and Biology written by Jan A. Freund and published by Springer. This book was released on 2008-01-11 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of stochastic processes originally grew out of efforts to describe Brownian motion quantitatively. Today it provides a huge arsenal of methods suitable for analyzing the influence of noise on a wide range of systems. The credit for acquiring all the deep insights and powerful methods is due ma- ly to a handful of physicists and mathematicians: Einstein, Smoluchowski, Langevin, Wiener, Stratonovich, etc. Hence it is no surprise that until - cently the bulk of basic and applied stochastic research was devoted to purely mathematical and physical questions. However, in the last decade we have witnessed an enormous growth of results achieved in other sciences - especially chemistry and biology - based on applying methods of stochastic processes. One reason for this stochastics boom may be that the realization that noise plays a constructive rather than the expected deteriorating role has spread to communities beyond physics. Besides their aesthetic appeal these noise-induced, noise-supported or noise-enhanced effects sometimes offer an explanation for so far open pr- lems (information transmission in the nervous system and information p- cessing in the brain, processes at the cell level, enzymatic reactions, etc.). They may also pave the way to novel technological applications (noise-- hanced reaction rates, noise-induced transport and separation on the na- scale, etc.). Key words to be mentioned in this context are stochastic r- onance, Brownian motors or ratchets, and noise-supported phenomena in excitable systems.

Physics of Rotating Fluids

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Publisher : Springer
ISBN 13 : 3540455493
Total Pages : 442 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Physics of Rotating Fluids by : Christoph Egbers

Download or read book Physics of Rotating Fluids written by Christoph Egbers and published by Springer. This book was released on 2008-01-11 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to recent developments in the field of rotating fluids, in particular the study of Taylor--Couette flow, spherical Couette flow, planar Couette flow, as well as rotating annulus flow. Besides a comprehensive overview of the current state of the art, possible future directions in this research field are investigated. The first part of this volume presents several new results in the classical Taylor--Couette system covering diverse theoretical, experimental and numerical work on bifurcation theory, influence of boundary conditions, counter-rotating flows, spiral vortices and many others. The second part focuses on spherical Couette flows, including isothermal flows, thermal convective motion, as well as magnetohydrodynamics in spherical shells. The remaining parts are devoted to Goertler vortices, rotating annulus flows, as well as superfluid Couette flows. The present book will be of interest to all researchers and graduate students working actively in the field.

Earth's Core and Lower Mantle

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Publisher : CRC Press
ISBN 13 : 0203207610
Total Pages : 244 pages
Book Rating : 4.2/5 (32 download)

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Book Synopsis Earth's Core and Lower Mantle by : C.A. Jones

Download or read book Earth's Core and Lower Mantle written by C.A. Jones and published by CRC Press. This book was released on 2003-06-26 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientists have made new inroads in the study of the Earth's deep interior. They have forged developments in this fascinating arena using experimental and observational techniques,. including seismology, monitoring of the Earth's rotation, geomagnetism, and accurate measurements of Earth's gravity fields. These techniques along with more theoretica

Encyclopedia of Nonlinear Science

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Publisher : Routledge
ISBN 13 : 1135455589
Total Pages : 1107 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Encyclopedia of Nonlinear Science by : Alwyn Scott

Download or read book Encyclopedia of Nonlinear Science written by Alwyn Scott and published by Routledge. This book was released on 2006-05-17 with total page 1107 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Turbulence and Magnetic Fields in Astrophysics

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Publisher : Springer Science & Business Media
ISBN 13 : 354000274X
Total Pages : 484 pages
Book Rating : 4.5/5 (4 download)

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Book Synopsis Turbulence and Magnetic Fields in Astrophysics by : Edith Falgarone

Download or read book Turbulence and Magnetic Fields in Astrophysics written by Edith Falgarone and published by Springer Science & Business Media. This book was released on 2003-03-11 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains review articles of most of the topics addressed at the conf- ence on Simulations of Magnetohydrodynamic turbulence in astrophysics: recent achievements and perspectives which took place from July 2 to 6, 2001 at the Institut Henri Poincar ́e in Paris. We made the choice to publish these lectures in a tutorial form so that they can be read by a broad audience. As a result, this book does not give an exhaustive view of all the subjects addressed during the conference. The main objective of this workshop which gathered about 90 scientists from di?erent ?elds, was to present and confront recent results on the topic of t- bulence in magnetized astrophysical environments. A second objective was to discuss the latest generation of numerical codes, such as those using adaptive mesh re?nement (AMR) techniques. During a plenary discussion at the end of the workshop discussions were held on several topics, often at the heart of vivid controversies. Topics included the timescale for the dissipation of magneto-hydrodynamical (MHD) turbulence, the role of boundary conditions, the characteristics of imbalanced turbulence, the validity of the polytropic approach to Alfv ́en waves support within interst- lar clouds, the source of turbulence inside clouds devoid of stellar activity, the timescale for star formation, the Alfv ́en Mach number of interstellar gas motions, the formation process for helical ?elds in the interstellar medium. The impact of small upon large scales was also discussed.

Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0521451868
Total Pages : 422 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors by : Eckehard Schöll

Download or read book Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors written by Eckehard Schöll and published by Cambridge University Press. This book was released on 2001-02-22 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together concepts from semiconductor physics, nonlinear-dynamics and chaos to examine semiconductor transport phenomena.