Scale Invariance, Interfaces, and Non-Equilibrium Dynamics

Scale Invariance, Interfaces, and Non-Equilibrium Dynamics PDF Author: Alan McKane
Publisher: Springer Science & Business Media
ISBN: 1489914218
Category : Science
Languages : en
Pages : 344

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Book Description
The NATO Advanced Study Institute on "Scale Invariance, Interfaces and Non Equilibrium Dynamics" was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK from 20-30 June 1994. The topics discussed at the Institute were all concerned with the origin and nature of complex structures found far from equilibrium. Examples ranged from reaction diffusion systems and hydrodynamics through to surface growth due to deposition. A common theme was that of scale invariance due to the self-similarity of the underly ing structures. The topics that were covered can be broadly classified as pattern for mation (theoretical, computational and experimental aspects), the non-equilibrium dynamics of the growth of interfaces and other manifolds, coarsening phenomena, generic scale invariance in driven systems and the concept of self-organized critical ity. The main feature of the Institute was the four one-hour-Iong lectures given each day by invited speakers. In addition to thirty-seven of these lectures, two contributed lectures were also given. The many questions that were asked after the lectures attested to the excitement and interest that the lecturers succeeded in generating amongst the students. In addition to the discussions initiated by lectures, an im portant component of the meeting were the poster sessions, where participants were able to present their own work, which took place on three of the afternoons. The list of titles given at the end of these proceedings gives some idea of the range and scope of these posters.

Scale Invariance, Interfaces, and Non-Equilibrium Dynamics

Scale Invariance, Interfaces, and Non-Equilibrium Dynamics PDF Author: Alan McKane
Publisher: Springer Science & Business Media
ISBN: 1489914218
Category : Science
Languages : en
Pages : 344

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Book Description
The NATO Advanced Study Institute on "Scale Invariance, Interfaces and Non Equilibrium Dynamics" was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK from 20-30 June 1994. The topics discussed at the Institute were all concerned with the origin and nature of complex structures found far from equilibrium. Examples ranged from reaction diffusion systems and hydrodynamics through to surface growth due to deposition. A common theme was that of scale invariance due to the self-similarity of the underly ing structures. The topics that were covered can be broadly classified as pattern for mation (theoretical, computational and experimental aspects), the non-equilibrium dynamics of the growth of interfaces and other manifolds, coarsening phenomena, generic scale invariance in driven systems and the concept of self-organized critical ity. The main feature of the Institute was the four one-hour-Iong lectures given each day by invited speakers. In addition to thirty-seven of these lectures, two contributed lectures were also given. The many questions that were asked after the lectures attested to the excitement and interest that the lecturers succeeded in generating amongst the students. In addition to the discussions initiated by lectures, an im portant component of the meeting were the poster sessions, where participants were able to present their own work, which took place on three of the afternoons. The list of titles given at the end of these proceedings gives some idea of the range and scope of these posters.

Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models

Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models PDF Author: Roman M. Cherniha
Publisher: MDPI
ISBN: 3038425265
Category : Electronic book
Languages : en
Pages : 427

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Book Description
This book is a printed edition of the Special Issue "Lie Theory and Its Applications" that was published in Symmetry

Non-Equilibrium Phase Transitions

Non-Equilibrium Phase Transitions PDF Author: Malte Henkel
Publisher: Springer Science & Business Media
ISBN: 1402087659
Category : Science
Languages : en
Pages : 385

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Book Description
This book describes two main classes of non-equilibrium phase-transitions: static and dynamics of transitions into an absorbing state, and dynamical scaling in far-from-equilibrium relaxation behavior and ageing.

Scale Invariance and Beyond

Scale Invariance and Beyond PDF Author: B. Dubrulle
Publisher: Springer Science & Business Media
ISBN: 3662097990
Category : Science
Languages : en
Pages : 291

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Book Description
This book is an excellent introduction to the concept of scale invariance, which is a growing field of research with wide applications. It describes where and how symmetry under scale transformation (and its various forms of partial breakdown) can be used to analyze solutions of a problem without the need to explicitly solve it. The first part gives descriptions of tools and concepts; the second is devoted to recent attempts to go beyond the invariance or symmetry breaking, to discuss causes and consequences, and to extract useful information about the system. Examples are carefully worked out in fields as diverse as condensed matter physics, population dynamics, earthquake physics, turbulence, cosmology and finance.

Nonequilibrium Statistical Mechanics in One Dimension

Nonequilibrium Statistical Mechanics in One Dimension PDF Author: Vladimir Privman
Publisher: Cambridge University Press
ISBN: 052155974X
Category : Science
Languages : en
Pages : 490

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Book Description
Self-contained and up-to-date guide to one-dimensional reactions, dynamics, diffusion and adsorption.

Self-Organised Criticality

Self-Organised Criticality PDF Author: Gunnar Pruessner
Publisher: Cambridge University Press
ISBN: 0521853354
Category : Science
Languages : en
Pages : 517

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Book Description
An overview of results and methods, written for graduates and researchers in physics, mathematics, biology, sociology, finance, medicine and engineering.

Dynamics of Fluctuating Interfaces and Related Phenomena

Dynamics of Fluctuating Interfaces and Related Phenomena PDF Author: Doochul Kim
Publisher: World Scientific
ISBN: 9814529621
Category : Crystal growth
Languages : en
Pages : 346

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Book Description
"Roughening dynamics of various interface problems has been an attractive topic recently. The subject is related to many interdisciplinary branches in nonequilibrium statistical physics such as crystal growth, vortex dynamics, fractals and chaos, and self-organized critical phenomena. This volume includes pedagogical reviews of the scaling concepts in fluctuating surfaces, current theories on expitaxial growth phenomena and interface dynamics in disordered media, and many other related topics. Thus it serves as a valuable reference for both graduate students and researchers in statistical physics and materials science."--Publisher's website.

Dynamics of Crystal Surfaces and Interfaces

Dynamics of Crystal Surfaces and Interfaces PDF Author: P.M. Duxbury
Publisher: Springer Science & Business Media
ISBN: 0306470713
Category : Technology & Engineering
Languages : en
Pages : 248

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Book Description
This series of books, which is published at the rate of about one per year, addresses fundamental problems in materials science. The contents cover a broad range of topics from small clusters of atoms to engineering materials and involve chemistry, physics, and engineering, with length scales ranging from Ångstroms up to millimeters. The emphasis is on basic science rather than on applications. Each book focuses on a single area of current interest and brings together leading experts to give an up-to-date discussion of their work and the work of others. Each article contains enough references that the interested reader can access the relevant literature. Thanks are given to the Center for Fundamental Materials Research at Michigan State University for supporting this series. M. F. Thorpe, Series Editor E-mail: thorpe@pa. msu. edu v PREFACE th th During the period 4 -8 August 1996, a conference with the same title as this book was held in Traverse City, Michigan. That conference was organized as a sequel to an interesting and successful WEM workshop in a similar area run by Profs. Hans Bonzel and Bill Mullins in May 1995. This book contains papers presented at the Traverse City conference. The book focuses on: atomic processes, step structure and dynamics; and their effect on surface and interface structures and on the relaxation kinetics of larger leng- scale nonequilibrium morphologies.

Fractal Concepts in Surface Growth

Fractal Concepts in Surface Growth PDF Author: A.- L. Barabási
Publisher: Cambridge University Press
ISBN: 9780521483186
Category : Mathematics
Languages : en
Pages : 392

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Book Description
This book brings together two of the most exciting and widely studied subjects in modern physics: namely fractals and surfaces. To the community interested in the study of surfaces and interfaces, it brings the concept of fractals. To the community interested in the exciting field of fractals and their application, it demonstrates how these concepts may be used in the study of surfaces. The authors cover, in simple terms, the various methods and theories developed over the past ten years to study surface growth. They describe how one can use fractal concepts successfully to describe and predict the morphology resulting from various growth processes. Consequently, this book will appeal to physicists working in condensed matter physics and statistical mechanics, with an interest in fractals and their application. The first chapter of this important new text is available on the Cambridge Worldwide Web server: http://www.cup.cam.ac.uk/onlinepubs/Textbooks/textbookstop.html

Fractals and Chaos in Chemical Engineering

Fractals and Chaos in Chemical Engineering PDF Author: Massimiliano Giona
Publisher: World Scientific
ISBN: 981452963X
Category : Chaotic behavior in systems
Languages : en
Pages : 722

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Book Description
"This volume is a collection of the papers presented at the International Conference on Fractal Concepts and the Application of Chaos in Chemical Engineering Problems. The book provides a detailed description of the current research on the application of fractal concepts, nonlinear dynamics and disordered systems in chemical engineering, with emphasis on interdisciplinary connections with related fields, such as control theory of nonlinear systems, dynamic theory of fractals, transport theory and physical chemistry of heterogeneous materials."--Publisher's website.