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Far-from-equilibrium Dynamics

2002 Mathematics
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Release : 2002
Genre : Mathematics
Kind : eBook
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.

Open Quantum Systems Far from Equilibrium

2014-01-07 Science
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Release : 2014-01-07
Genre : Science
Kind : eBook
Book Rating : 77X/5 ( reviews)

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Book Synopsis Open Quantum Systems Far from Equilibrium by : Gernot Schaller

Download or read book Open Quantum Systems Far from Equilibrium written by Gernot Schaller. This book was released on 2014-01-07. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides graduate students and also professional researchers aiming to understand the dynamics of open quantum systems with a valuable and self-contained toolbox. Special focus is laid on the link between microscopic models and the resulting open-system dynamics. This includes how to derive the celebrated Lindblad master equation without applying the rotating wave approximation. As typical representatives for non-equilibrium configurations it treats systems coupled to multiple reservoirs (including the description of quantum transport), driven systems and feedback-controlled quantum systems. Each method is illustrated with easy-to-follow examples from recent research. Exercises and short summaries at the end of every chapter enable the reader to approach the frontiers of current research quickly and make the book useful for quick reference.

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.

Critical Dynamics

2014-03-06 Science
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Release : 2014-03-06
Genre : Science
Kind : eBook
Book Rating : 239/5 ( reviews)

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Book Synopsis Critical Dynamics by : Uwe C. Täuber

Download or read book Critical Dynamics written by Uwe C. Täuber. This book was released on 2014-03-06. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and unified introduction to describing and understanding complex interacting systems.

Non-Equilibrium Phase Transitions

2011-01-19 Science
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Release : 2011-01-19
Genre : Science
Kind : eBook
Book Rating : 692/5 ( reviews)

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Book Synopsis Non-Equilibrium Phase Transitions by : Malte Henkel

Download or read book Non-Equilibrium Phase Transitions written by Malte Henkel. This book was released on 2011-01-19. Available in PDF, EPUB and Kindle. Book excerpt: “The importance of knowledge consists not only in its direct practical utility but also in the fact the it promotes a widely contemplative habit of mind; on this ground, utility is to be found in much of the knowledge that is nowadays labelled ‘useless’. ” Bertrand Russel, In Praise of Idleness, London (1935) “Why are scientists in so many cases so deeply interested in their work ? Is it merely because it is useful ? It is only necessary to talk to such scientists to discover that the utilitarian possibilities of their work are generally of secondary interest to them. Something else is primary. ” David Bohm, On creativity, Abingdon (1996) In this volume, the dynamical critical behaviour of many-body systems far from equilibrium is discussed. Therefore, the intrinsic properties of the - namics itself, rather than those of the stationary state, are in the focus of 1 interest. Characteristically, far-from-equilibrium systems often display - namical scaling, even if the stationary state is very far from being critical. A 1 As an example of a non-equilibrium phase transition, with striking practical c- sequences, consider the allotropic change of metallic ?-tin to brittle ?-tin. At o equilibrium, the gray ?-Sn becomes more stable than the silvery ?-Sn at 13. 2 C. Kinetically, the transition between these two solid forms of tin is rather slow at higher temperatures. It starts from small islands of ?-Sn, the growth of which proceeds through an auto-catalytic reaction.

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