Far From Equilibrium Dynamics
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Author | : Yasumasa Nishiura |
Publisher | : American Mathematical Soc. |
Total Pages | : 340 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 9780821826256 |
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.
Author | : Gernot Schaller |
Publisher | : Springer |
Total Pages | : 215 |
Release | : 2014-01-07 |
Genre | : Science |
ISBN | : 331903877X |
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.
Author | : J.K. Bhattacharjee |
Publisher | : Springer Science & Business Media |
Total Pages | : 300 |
Release | : 2007-12-27 |
Genre | : Science |
ISBN | : 1402053886 |
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.
Author | : Malte Henkel |
Publisher | : Springer Science & Business Media |
Total Pages | : 562 |
Release | : 2011-01-19 |
Genre | : Science |
ISBN | : 9048128692 |
“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.
Author | : Uwe C. Täuber |
Publisher | : Cambridge University Press |
Total Pages | : 529 |
Release | : 2014-03-06 |
Genre | : Science |
ISBN | : 0521842239 |
A comprehensive and unified introduction to describing and understanding complex interacting systems.
Author | : Tim Langen |
Publisher | : Springer |
Total Pages | : 154 |
Release | : 2015-05-22 |
Genre | : Science |
ISBN | : 3319185640 |
This work presents a series of experiments with ultracold one-dimensional Bose gases, which establish said gases as an ideal model system for exploring a wide range of non-equilibrium phenomena. With the help of newly developed tools, like full distributions functions and phase correlation functions, the book reveals the emergence of thermal-like transient states, the light-cone-like emergence of thermal correlations and the observation of generalized thermodynamic ensembles. This points to a natural emergence of classical statistical properties from the microscopic unitary quantum evolution, and lays the groundwork for a universal framework of non-equilibrium physics. The thesis investigates a central question that is highly contested in quantum physics: how and to which extent does an isolated quantum many-body system relax? This question arises in many diverse areas of physics, and many of the open problems appear at vastly different energy, time and length scales, ranging from high-energy physics and cosmology to condensed matter and quantum information. A key challenge in attempting to answer this question is the scarcity of quantum many-body systems that are both well isolated from the environment and accessible for experimental study.
Author | : Popielawski J |
Publisher | : World Scientific |
Total Pages | : 440 |
Release | : 1991-03-29 |
Genre | : |
ISBN | : 9814569275 |
The proceedings discuss the theoretical methods used to describe a chemical system which is far from the equilibrium state, and this is illustrated by selected applications. Special attention is paid to very fast chemical reactions and systems in which external or internal noise is present. In particular, the following topics are covered:-the generalized Boltzmann/ Enskog equation for nonequilibrium systems,-stochastic methods for description of noise in chemical systems,-numerical simulations of systems far from equilibrium.
Author | : Michael Cross |
Publisher | : Cambridge University Press |
Total Pages | : 547 |
Release | : 2009-07-16 |
Genre | : Mathematics |
ISBN | : 0521770505 |
An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.
Author | : Marianne Lotje Hoogeveen |
Publisher | : |
Total Pages | : |
Release | : 2017 |
Genre | : |
ISBN | : |
Author | : C. Godrèche |
Publisher | : Cambridge University Press |
Total Pages | : 616 |
Release | : 1992-01-09 |
Genre | : Science |
ISBN | : 9780521411707 |
Originally published in 1991, this book, based on the 1989 Beg-Rohu summer school, contains six sets of pedagogical lectures by internationally respected researchers on the statistical physics of crystal growth. Providing a course in which the phenomena of shape and growth are viewed from a fresh vantage point, the lectures cover a variety of developments in the field and reflect on problems that have received inadequate attention. Statistical physicists, condensed matter physicists, metallurgists, and applied mathematicians will find this a stimulating and valuable book on an important topic.