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Author : Enzo Olivieri
Publisher : Cambridge University Press
ISBN 13 : 9780521591638
Total Pages : 540 pages
Book Rating : 4.35/5 ( download)
Download or read book Large Deviations and Metastability written by Enzo Olivieri and published by Cambridge University Press. This book was released on 2005-02-21 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Author : Anton Bovier
Publisher : Springer
ISBN 13 : 3319247778
Total Pages : 581 pages
Book Rating : 4.79/5 ( download)
Download or read book Metastability written by Anton Bovier and published by Springer. This book was released on 2016-02-11 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a concise presentation of a mathematical approach to metastability, a wide-spread phenomenon in the dynamics of non-linear systems - physical, chemical, biological or economic - subject to the action of temporal random forces typically referred to as noise, based on potential theory of reversible Markov processes. The authors shed new light on the metastability phenomenon as a sequence of visits of the path of the process to different metastable sets, and focuses on the precise analysis of the respective hitting probabilities and hitting times of these sets. The theory is illustrated with many examples, ranging from finite-state Markov chains, finite-dimensional diffusions and stochastic partial differential equations, via mean-field dynamics with and without disorder, to stochastic spin-flip and particle-hop dynamics and probabilistic cellular automata, unveiling the common universal features of these systems with respect to their metastable behaviour. The monograph will serve both as comprehensive introduction and as reference for graduate students and researchers interested in metastability.
Author : Seiji Miyashita
Publisher : Springer Nature
ISBN 13 : 9811966680
Total Pages : 260 pages
Book Rating : 4.82/5 ( download)
Download or read book Collapse of Metastability written by Seiji Miyashita and published by Springer Nature. This book was released on 2022-11-05 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: To understand phenomena in nature, it is important to focus not only on properties of stationary states, but also their changes in time, that is, the dynamics between bistable states. This book reviews the mechanics of first-order phase transitions and discusses relaxation and collapses of metastable states from various viewpoints, including Kramers' method for the lifetime of metastability, Langer’s analysis on the singularity, effects of thermal fluctuation studied by Néel and Brown, and eigenvalue structures of the transfer-matrix for the phase transitions. The book also goes into the mechanics of metastability in quantum systems from the viewpoints of the eigenvalue problem of the Hamiltonian and the Liouvillian for a dynamical process and discusses relations between quantum tunneling processes and metastability therein. Lastly, the coercivity of magnets consisting of an ensemble of grains is reviewed. The book is beneficial for those new in the field as a primer on first-order phase transition from modern perspectives. The comprehensive content offers overviews of related topics and allows readers to quickly catch up with developments in the field.
Author : Kane X. Faucher
Publisher : Springer Science & Business Media
ISBN 13 : 9462094284
Total Pages : 332 pages
Book Rating : 4.84/5 ( download)
Download or read book Metastasis and Metastability written by Kane X. Faucher and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The word “information” carries a number of connotations depending on context, and can be said to be one of the most problematic words to define despite many efforts by statistical theorists, mathematicians, physicists, cyberneticians, communication theorists, computer scientists, and philosophers. Is information physical or non-physical? Is the universe digital, analog, or a “chaosmic” mixture of the two? This book explores a Deleuzian way of understanding information by retracing Deleuze’s ontology of difference back to Gilbert Simondon’s concepts of transduction, metastability, and perpetual individuation as a source for Deleuze’s concept of the virtual. Although Deleuze did not address information specifically in his oeuvre, this book attempts to construct what a Deleuzian theory of information might look like as a consequence of his philosophical insights. The reader is presented with a brief survey of information theories, capsule explanations of the philosophy of Gilbert Simondon and Gilles Deleuze, and a discussion on the roles of metastasis and metastability as a means of addressing the problematic known as information outside of computing regimes, and as a critique of cybernetics, informatics, and memetics. Can information be reconfigured as affirmative difference, transformed into a “nomad science,” or must it remain consigned to the realm of probabilism?
Author : Christof Schütte
Publisher : American Mathematical Soc.
ISBN 13 : 0821843591
Total Pages : 141 pages
Book Rating : 4.98/5 ( download)
Download or read book Metastability and Markov State Models in Molecular Dynamics written by Christof Schütte and published by American Mathematical Soc.. This book was released on 2013-12-26 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications in modern biotechnology and molecular medicine often require simulation of biomolecular systems in atomic representation with immense length and timescales that are far beyond the capacity of computer power currently available. As a consequence, there is an increasing need for reduced models that describe the relevant dynamical properties while at the same time being less complex. In this book the authors exploit the existence of metastable sets for constructing such a reduced molecular dynamics model, the so-called Markov state model (MSM), with good approximation properties on the long timescales. With its many examples and illustrations, this book is addressed to graduate students, mathematicians, and practical computational scientists wanting an overview of the mathematical background for the ever-increasing research activity on how to construct MSMs for very different molecular systems ranging from peptides to proteins, from RNA to DNA, and via molecular sensors to molecular aggregation. This book bridges the gap between mathematical research on molecular dynamics and its practical use for realistic molecular systems by providing readers with tools for performing in-depth analysis of simulation and data-analysis methods. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
Author : Stuart S. Antman
Publisher : Springer Science & Business Media
ISBN 13 : 1461387043
Total Pages : 379 pages
Book Rating : 4.46/5 ( download)
Download or read book Metastability and Incompletely Posed Problems written by Stuart S. Antman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications Metastability and Incompletely Posed Problems represents the proceedings of a workshop which was an integral part of the 19R4-R5 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EOIIATIONS. We are grateful to the Scientific Committee: ,I.L. Eri cksen D. Kinderlehrer H. Rrezis C. Dafermos for their dedication and hard work in developing an imaginative, stimulating, and productive year-long program. George R. Sell Hans Weinberger Preface Most equilibrium events in nature do not realize configurations of minimum energy. They are only metastable. Available knowledge of constitutive relations and environmental interactions may be limiterl. As a result, many configurations may he compatible with the rlata. Such questions are incompletely poserl. The papers in this volume address a wide variety of these issues as they are perceived by the material scientist and the mathematician. They represent a portion of the significant activity which has been underway in recent years, from the experimental arena and physical theory to the analysis of differential equations and computation.
Author : Alexander V. Kolobov
Publisher : John Wiley & Sons
ISBN 13 : 3527608664
Total Pages : 436 pages
Book Rating : 4.69/5 ( download)
Download or read book Photo-Induced Metastability in Amorphous Semiconductors written by Alexander V. Kolobov and published by John Wiley & Sons. This book was released on 2006-12-13 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: A review summarising the current state of research in the field, bridging the gaps in the existing literature. All the chapters are written by world leaders in research and development and guide readers through the details of photo-induced metastability and the results of the latest experiments and simulations not found in standard monographs on this topic. A useful reference not only for graduates but also for scientific and industrial researchers. With a foreword of Kazunobu Tanaka
Author :
Publisher :
ISBN 13 : 9814479187
Total Pages : pages
Book Rating : 4.89/5 ( download)
Download or read book Complexity, Metastability and Nonextensivity written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. Jantsch
Publisher : CRC Press
ISBN 13 : 1000157040
Total Pages : 167 pages
Book Rating : 4.48/5 ( download)
Download or read book D(X) Centres and other Metastable Defects in Semiconductors, Proceedings of the INT Symposium, Mauterndorf, Austria, 18-22 February 1991 written by W. Jantsch and published by CRC Press. This book was released on 2020-11-26 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first reports on metastable defects in III-V and II-VI compound semiconductors appeared in the late 1960s, the number of reports on defects with metastable states has been growing at an ever increasing rate. D(X)-center and other metastability defects cause many technical problems that are exacerbated by the uncertainty and controversy surrounding the mechanisms that cause them. A lively mix of theoretical and experimental discussions, D(X)-Centres and other Metastable Defects in Semiconductors presents a timely investigation of these systems. The book discusses topics such as, the validity of negative or positive U models, as well as alternative views that challenge existing ideas. The richness and precision of experimental data now emerging in the field is chronicled as are new investigative techniques. Based on an INT symposium, this book provides a successful forum where an extraordinary variety of ideas, including new perspectives, are examined critically.
Author : Joseph W. Bursik
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.22/5 ( download)
Download or read book Metastable Sound Speed in Gas Liquid Mixtures written by Joseph W. Bursik and published by . This book was released on 1979 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
