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Non-Linear Dynamics Near and Far from Equilibrium

2007-12-27 Science
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Release : 2007-12-27
Genre : Science
Kind : eBook
Book Rating : 886/5 ( reviews)

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Book Synopsis Non-Linear Dynamics Near and Far from Equilibrium by : J.K. Bhattacharjee

Download or read book Non-Linear Dynamics Near and Far from Equilibrium written by J.K. Bhattacharjee. This book was released on 2007-12-27. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Dynamics Near and Far from Equilibrium

2007 Dynamics
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Release : 2007
Genre : Dynamics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Nonlinear Dynamics Near and Far from Equilibrium by : Jayanta K. Bhattacharjee

Download or read book Nonlinear Dynamics Near and Far from Equilibrium written by Jayanta K. Bhattacharjee. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt:

New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

1991-08-31
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Release : 1991-08-31
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Kind : eBook
Book Rating : 800/5 ( reviews)

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Book Synopsis New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena by : Pierre Coullet

Download or read book New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena written by Pierre Coullet. This book was released on 1991-08-31. Available in PDF, EPUB and Kindle. Book excerpt:

New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

1991-08-31 Mathematics
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Release : 1991-08-31
Genre : Mathematics
Kind : eBook
Book Rating : 925/5 ( reviews)

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Book Synopsis New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena by : Pierre Coullet

Download or read book New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena written by Pierre Coullet. This book was released on 1991-08-31. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Far-from-equilibrium Dynamics

2002 Mathematics
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Release : 2002
Genre : Mathematics
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Book Rating : 256/5 ( reviews)

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Book Synopsis Far-from-equilibrium Dynamics by : Yasumasa Nishiura

Download or read book Far-from-equilibrium Dynamics written by Yasumasa Nishiura. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of evolution of nonequilibrium systems. Such a system usually consists of regions with different dominant scales, which coexist in the space-time where the system lives. In the case of high nonuniformity in special direction, one can see patterns separated by clearly distinguishable boundaries or interfaces. The author considers several examples of nonequilibrium systems. One of the examples describes the invasion of the solid phase into the liquidphase during the crystallization process. Another example is the transition from oxidized to reduced states in certain chemical reactions. An easily understandable example of the transition in the temporal direction is a sound beat, and the author describes typical patterns associated with thisphenomenon. The main goal of the book is to present a mathematical approach to the study of highly nonuniform systems and to illustrate it with examples from physics and chemistry. The two main theories discussed are the theory of singular perturbations and the theory of dissipative systems. A set of carefully selected examples of physical and chemical systems nicely illustrates the general methods described in the book.

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