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Pattern Formation and Dynamics in Nonequilibrium Systems

Pattern Formation and Dynamics in Nonequilibrium Systems
Author: Michael Cross
Publisher: Cambridge University Press
Total Pages: 547
Release: 2009-07-16
Genre: Science
ISBN: 1139480464

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Many exciting frontiers of science and engineering require understanding the spatiotemporal properties of sustained nonequilibrium systems such as fluids, plasmas, reacting and diffusing chemicals, crystals solidifying from a melt, heart muscle, and networks of excitable neurons in brains. This introductory textbook for graduate students in biology, chemistry, engineering, mathematics, and physics provides a systematic account of the basic science common to these diverse areas. This book provides a careful pedagogical motivation of key concepts, discusses why diverse nonequilibrium systems often show similar patterns and dynamics, and gives a balanced discussion of the role of experiments, simulation, and analytics. It contains numerous worked examples and over 150 exercises. This book will also interest scientists who want to learn about the experiments, simulations, and theory that explain how complex patterns form in sustained nonequilibrium systems.


Pattern Formation and Dynamics in Nonequilibrium Systems

Pattern Formation and Dynamics in Nonequilibrium Systems
Author: Michael Cross
Publisher: Cambridge University Press
Total Pages: 547
Release: 2009-07-16
Genre: Mathematics
ISBN: 0521770505

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An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.


New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena
Author: Pierre Coullet
Publisher: Springer Science & Business Media
Total Pages: 341
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1468474790

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The basic aim of the NATO Advanced Research Workshop on "New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena: The Geometry of Nonequilibrium" was to bring together researchers from various areas of physics to review and explore new ideas regarding the organisation of systems driven far from equilibrium. Such systems are characterized by a close relationship between broken spatial and tempo ral symmetries. The main topics of interest included pattern formation in chemical systems, materials and convection, traveling waves in binary fluids and liquid crystals, defects and their role in the disorganisa tion of structures, spatio-temporal intermittency, instabilities and large-scale vortices in open flows, the mathematics of non-equilibrium systems, turbulence, and last but not least growth phenomena. Written contributions from participants have been grouped into chapters addressing these different areas. For additional clarity, the first chapter on pattern formation has been subdivided into sections. One of the main concerns was to focus on the unifying features between these diverse topics. The various scientific communities repre sented were encouraged to discuss and compare their approach so as to mutually benefit their respective fields. We hope that, to a large degree, these goals have been met and we thank all the participants for their efforts. The workshop was held in Cargese (Corsica, France) at the Institut d'Etudes Scientifiques from August 2nd to August 12th, 1988. We greatly thank Yves Pomeau and Daniel Walgraef who, as members of the organising committee, gave us valuable advice and encouragements.


Pattern Formation in Liquid Crystals

Pattern Formation in Liquid Crystals
Author: Agnes Buka
Publisher: Springer Science & Business Media
Total Pages: 362
Release: 1996-05-15
Genre: Psychology
ISBN: 9780387946047

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This volume bridges two topics of considerable current interest: pattern formation in nonequilibrium phenomena and physics of liquid crystals, both active and diverse areas of research. Because liquid crystals form large-scale and regular patterns under the influence of a variety of applied fields they are fruitful materials to study the spontaneous formation and evolution of ordered and disordered patterns. The chapters, each by a noted researcher in the field, briefly summarize the fundamental work done in the 1960s but concentrate on reviewing results from the recent resurgence of interest in the field as well as indicating the direction of current work.


Dynamics of Self-Organized and Self-Assembled Structures

Dynamics of Self-Organized and Self-Assembled Structures
Author: Rashmi C. Desai
Publisher: Cambridge University Press
Total Pages: 307
Release: 2009-03-26
Genre: Science
ISBN: 1139478842

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Physical and biological systems driven out of equilibrium may spontaneously evolve to form spatial structures. In some systems molecular constituents may self-assemble to produce complex ordered structures. This book describes how such pattern formation processes occur and how they can be modeled. Experimental observations are used to introduce the diverse systems and phenomena leading to pattern formation. The physical origins of various spatial structures are discussed, and models for their formation are constructed. In contrast to many treatments, pattern-forming processes in nonequilibrium systems are treated in a coherent fashion. The book shows how near-equilibrium and far-from-equilibrium modeling concepts are often combined to describe physical systems. This inter-disciplinary book can form the basis of graduate courses in pattern formation and self-assembly. It is a useful reference for graduate students and researchers in a number of disciplines, including condensed matter science, nonequilibrium statistical mechanics, nonlinear dynamics, chemical biophysics, materials science, and engineering.


New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena
Author: Pierre Coullet
Publisher: Springer
Total Pages: 357
Release: 1991-08-31
Genre: Mathematics
ISBN: 9780306436925

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The basic aim of the NATO Advanced Research Workshop on "New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena: The Geometry of Nonequilibrium" was to bring together researchers from various areas of physics to review and explore new ideas regarding the organisation of systems driven far from equilibrium. Such systems are characterized by a close relationship between broken spatial and tempo ral symmetries. The main topics of interest included pattern formation in chemical systems, materials and convection, traveling waves in binary fluids and liquid crystals, defects and their role in the disorganisa tion of structures, spatio-temporal intermittency, instabilities and large-scale vortices in open flows, the mathematics of non-equilibrium systems, turbulence, and last but not least growth phenomena. Written contributions from participants have been grouped into chapters addressing these different areas. For additional clarity, the first chapter on pattern formation has been subdivided into sections. One of the main concerns was to focus on the unifying features between these diverse topics. The various scientific communities repre sented were encouraged to discuss and compare their approach so as to mutually benefit their respective fields. We hope that, to a large degree, these goals have been met and we thank all the participants for their efforts. The workshop was held in Cargese (Corsica, France) at the Institut d'Etudes Scientifiques from August 2nd to August 12th, 1988. We greatly thank Yves Pomeau and Daniel Walgraef who, as members of the organising committee, gave us valuable advice and encouragements.


Patterns and Interfaces in Dissipative Dynamics

Patterns and Interfaces in Dissipative Dynamics
Author: L.M. Pismen
Publisher: Springer Science & Business Media
Total Pages: 383
Release: 2006-07-07
Genre: Science
ISBN: 3540304312

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Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium occurs in a variety of settings in nature and technology, and has applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book explores the forefront of current research, describing in-depth the analytical methods that elucidate the complex evolution of nonlinear dissipative systems.


Pattern Formation

Pattern Formation
Author: Rebecca B. Hoyle
Publisher: Cambridge University Press
Total Pages: 440
Release: 2006-03-17
Genre: Mathematics
ISBN: 9780521817509

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Fully illustrated mathematical guide to pattern formation. Includes instructive exercises and examples.


Nonequilibrium Statistical Physics

Nonequilibrium Statistical Physics
Author: Roberto Livi
Publisher: Cambridge University Press
Total Pages: 439
Release: 2017-10-05
Genre: Science
ISBN: 1107049547

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A comprehensive and pedagogical text on nonequilibrium statistical physics, covering topics from random walks to pattern formation.


Scale Invariance, Interfaces, and Non-Equilibrium Dynamics

Scale Invariance, Interfaces, and Non-Equilibrium Dynamics
Author: Alan McKane
Publisher: Springer Science & Business Media
Total Pages: 344
Release: 2013-06-29
Genre: Science
ISBN: 1489914218

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The NATO Advanced Study Institute on "Scale Invariance, Interfaces and Non Equilibrium Dynamics" was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK from 20-30 June 1994. The topics discussed at the Institute were all concerned with the origin and nature of complex structures found far from equilibrium. Examples ranged from reaction diffusion systems and hydrodynamics through to surface growth due to deposition. A common theme was that of scale invariance due to the self-similarity of the underly ing structures. The topics that were covered can be broadly classified as pattern for mation (theoretical, computational and experimental aspects), the non-equilibrium dynamics of the growth of interfaces and other manifolds, coarsening phenomena, generic scale invariance in driven systems and the concept of self-organized critical ity. The main feature of the Institute was the four one-hour-Iong lectures given each day by invited speakers. In addition to thirty-seven of these lectures, two contributed lectures were also given. The many questions that were asked after the lectures attested to the excitement and interest that the lecturers succeeded in generating amongst the students. In addition to the discussions initiated by lectures, an im portant component of the meeting were the poster sessions, where participants were able to present their own work, which took place on three of the afternoons. The list of titles given at the end of these proceedings gives some idea of the range and scope of these posters.