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Non-Equilibrium Phase Transitions: Volume 2: Ageing and Dynamical Scaling Far from Equilibrium (Theoretical and Mathematical Physics) - Softcover
Synopsis
Dynamical scaling is key to our understanding of ‘far from equilibrium’ relaxation. Where Volume 1 of this set covered the statics and dynamics of transitions into an absorbing state, this one treats relaxation phenomena far from equilibrium and ageing.
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From the Back Cover
This book is Volume 2 of a two-volume set describing two main classes of non-equilibrium phase-transitions. This volume covers dynamical scaling in far-from-equilibrium relaxation behaviour and ageing. Motivated initially by experimental results, dynamical scaling has now been recognised as a cornerstone in the modern understanding of far from equilibrium relaxation. Dynamical scaling is systematically introduced, starting from coarsening phenomena, and existing analytical results and numerical estimates of universal non-equilibrium exponents and scaling functions are reviewed in detail. Ageing phenomena in glasses, as well as in simple magnets, are paradigmatic examples of non-equilibrium dynamical scaling, but may also be found in irreversible systems of chemical reactions. Recent theoretical work sought to understand if dynamical scaling may be just a part of a larger symmetry, called local scale-invariance. Initially, this was motivated by certain analogies with the conformal invariance of equilibrium phase transitions; this work has recently reached a degree of completion and the research is presented, systematically and in detail, in book form for the first time. Numerous worked-out exercises are included. Quite similar ideas apply to the phase transitions of equilibrium systems with competing interactions and interesting physical realisations, for example in Lifshitz points.
About the Author
Malte Henkel, born in 1960, received his Master's degree from the University of Bonn in 1984, and his PhD in 1987, when he also won the annual prize of the Minerva Foundation. From that year onward he has been a long-term visitor in many institutes, including the ITP at Santa Barbara, USA, the SPhT at Saclay, France, and the universities of Oxford, UK, Vienna, Austria, Padova, Italy, and Lisbon, Portugal. In 1995 he was appointed a professor at the University of Nancy I. His current research encompasses equilibrium and non-equilibrium phase transitions, using field-theoretical and numerical methods in general. In particular, his current focus is on dynamical scaling behaviour realised in ageing phenomena far from equilibrium. He has published well over a hundred articles and three monographs, one of which is Volume I of this set.
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- PublisherSpringer
- Publication date2014
- ISBN 10 9401783721
- ISBN 13 9789401783729
- BindingPaperback
- LanguageEnglish
- Number of pages565
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Non-Equilibrium Phase Transitions
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ISBN 10: 9401783721
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'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. 568 pp. Englisch. Seller Inventory # 9789401783729
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Focusses on simulation methods, scaling arguments and new methods using dynamical symmetriesReviews in detail existing non-perturbative quantitative results on non-equilibrium phase transitionsMalte Henkel, born in 1960, received his Master s degree fro. Seller Inventory # 11511351
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Non-Equilibrium Phase Transitions : Volume 2: Ageing and Dynamical Scaling Far from Equilibrium
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - '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 isvery 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. Seller Inventory # 9789401783729
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