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Author: Pierre Colinet Publisher: Springer Science & Business Media ISBN: 3709101255 Category : Technology & Engineering Languages : en Pages : 304
Book Description
The book deals with modern methods of nonlinear stability theory applied to problems of continuous media mechanics in the presence of interfaces, with applications to materials science, chemical engineering, heat transfer technologies, as well as in combustion and other reaction-diffusion systems. Interfaces play a dominant role at small scales, and their correct modeling is therefore also crucial in the rapidly expanding fields of microfluidics and nanotechnologies. To this aim, the book combines contributions of eminent specialists in the field, with a special emphasis on rigorous and predictive approaches. Other goals of this volume are to allow the reader to identify key problems of high scientific value, and to see the similarity between a variety of seemingly different physical problems.
Author: Pierre Colinet Publisher: Springer Science & Business Media ISBN: 3709101255 Category : Technology & Engineering Languages : en Pages : 304
Book Description
The book deals with modern methods of nonlinear stability theory applied to problems of continuous media mechanics in the presence of interfaces, with applications to materials science, chemical engineering, heat transfer technologies, as well as in combustion and other reaction-diffusion systems. Interfaces play a dominant role at small scales, and their correct modeling is therefore also crucial in the rapidly expanding fields of microfluidics and nanotechnologies. To this aim, the book combines contributions of eminent specialists in the field, with a special emphasis on rigorous and predictive approaches. Other goals of this volume are to allow the reader to identify key problems of high scientific value, and to see the similarity between a variety of seemingly different physical problems.
Author: L.M. Pismen Publisher: Springer Science & Business Media ISBN: 3540304312 Category : Science Languages : en Pages : 383
Book Description
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.
Author: Onuki Akira Publisher: World Scientific ISBN: 9814507008 Category : Technology & Engineering Languages : en Pages : 380
Book Description
Patterns are becoming the focal point of many areas of scientific endeavour in recent years owing to the progress of computer science, laboratory experiments and observations, and analytical tools. This book brings together articles by the leading experts in this field. The following topics are discussed in this volume: current status of pattern research with emphasis on real phenomena and new theoretical concepts; interdisciplinary subjects involving Statistical Physics, Condensed Matter Physics, Fluid Mechanics, Nonequilibrium and Nonlinear Phenomena.
Author: Len Pismen Publisher: Springer Nature ISBN: 303129579X Category : Science Languages : en Pages : 402
Book Description
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.
Author: Len M. Pismen Publisher: ISBN: 9783031295805 Category : Dynamics Languages : en Pages : 0
Book Description
Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium is a paradigmatic case of emergent behaviour associated with complex systems. It is encountered in a great variety of settings, both in nature and technology, and has numerous applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book is a first-hand account by one of the leading players in this field, which gives in-depth descriptions of analytical methods elucidating the complex evolution of nonlinear dissipative systems, and brings the reader to the forefront of current research. Since the publication of the first edition, applications of the theory of nonlinear dynamics have been substantially extended to the novel area of active systems, largely motivated by problems of biophysics and biomorphic technology. These problems typically involve media with internal orientation. This new edition incorporates a chapter discussing dynamics of liquids and soft solids with internal orientation, including special features of their instabilities and motion of topological defects, which form the background for various applications to the motion of cells, tissues, and activated soft materials. The contents of the first edition have also been substantially reworked, improving graphics, emphasizing more complex secondary instabilities, and dropping some material pertaining to dynamical systems. This book caters for graduate students and young researchers from many pertinent areas including applied mathematics, physical chemistry, chemical engineering and biophysics, as well as the seasoned scientist in search of a modern source of reference.
Author: Pierre Coullet Publisher: Springer Science & Business Media ISBN: 1468474790 Category : Technology & Engineering Languages : en Pages : 341
Book Description
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.
Author: Louise Littles Strutzenberg Publisher: ISBN: Category : Languages : en Pages : 220
Book Description
The dynamics of planar interface motion and the formation and reorganization of interface instabilities into an array of cells and dendrites have been investigated. These dynamics are significantly influenced by the presence of fluid flow in bulk samples. Two sets of experiments using a transparent metal analog system in which the convection effects are minimized have been performed and analyzed: solidification in thin samples on ground and solidification in bulk samples under microgravity conditions. Observations on the morphological evolution of a three-dimensional interface in a diffusion controlled regime, carried out on the International Space Station (ISS), have been directly correlated with ground-based results in thin samples and with theoretical predictions. To carry out precise analysis of the flight and ground-based directional solidification experiments, determination of the succinonitrile-water liquidus in the succinonitrile-rich region up to 1.0 wt% water was performed. The liquidus was found to be linear in this region with a slope of -8.8 K/wt%. The analysis of microgravity results on the dynamics of planar interface motion shows that a thermal lag is present and significant for a series of bulk samples solidified in a diffusive growth condition. After an offset corresponding to the observed thermal lag is included, the Warren-Langer model accurately predicts the planar interface dynamics observed during the initial transient. In contrast, the ground-based thin sample results deviate significantly from the predictions of the model due to the dominance of the contact angle effect leading to solute trapping at the walls. This effect renders the ground-based thin-sample experiments ineffective for quantitative measurements even during the initial transient. The steady-state spacing measurements obtained from the bulk microgravity experiments and the ground-based thin sample experiments were compared with the minimum spacing predictions of the Hunt-Lu model. The measurements obtained from the bulk microgravity experiments are shown to be in qualitative agreement with the predicted spacing changes as the velocity is increased. However, these bulk experimental spacing measurements were found to be smaller than the minimum spacings predicted by the Hunt-Lu model.
Author: Rashmi C. Desai Publisher: Cambridge University Press ISBN: 1139478842 Category : Science Languages : en Pages : 307
Book Description
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.
Author: Pierre Colinet
Author: Tetsuya Ishiwata
Author: Pierre Colinet
Author: L.M. Pismen
Author: Onuki Akira
Author: Len Pismen
Author: Len M. Pismen
Author: Rebecca B. Hoyle
Author: Pierre Coullet
Author: Louise Littles Strutzenberg
Author: Rashmi C. Desai