Nonequilibrium Phase Transitions In Lattice Models


Nonequilibrium Phase Transitions In Lattice Models
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Nonequilibrium Phase Transitions In Lattice Models


Nonequilibrium Phase Transitions In Lattice Models
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Author : Joaquin Marro
language : en
Publisher: Cambridge University Press
Release Date : 1999-05-06

Nonequilibrium Phase Transitions In Lattice Models written by Joaquin Marro and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-06 with Mathematics categories.


This book provides an introduction to nonequilibrium statistical physics via lattice models. Beginning with an introduction to the basic driven lattice gas, the early chapters discuss the relevance of this lattice model to certain natural phenomena and examine simulation results in detail. Several possible theoretical approaches to the driven lattice gas are presented. In the next two chapters, absorbing-state transitions are discussed in detail. The later chapters examine a variety of systems subject to dynamic disorder before returning to look at the more surprising effects of multiparticle rules, nonunique absorbing-states and conservation laws. Examples are given throughout the book, the emphasis being on using simple representations of nature to describe ordering in real systems. The use of methods such as mean-field theory, Monte Carlo simulation, and the concept of universality to study and interpret these models is described. Detailed references are included.



Non Equilibrium Phase Transitions


Non Equilibrium Phase Transitions
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Author : Malte Henkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-27

Non Equilibrium Phase Transitions written by Malte Henkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-27 with Science categories.


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.



Non Equilibrium Phase Transitions


Non Equilibrium Phase Transitions
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Author : Malte Henkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-19

Non Equilibrium Phase Transitions written by Malte Henkel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-19 with Science categories.


“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.



Universality In Nonequilibrium Lattice Systems


Universality In Nonequilibrium Lattice Systems
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Author :
language : en
Publisher:
Release Date :

Universality In Nonequilibrium Lattice Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Universality In Nonequilibrium Lattice Systems


Universality In Nonequilibrium Lattice Systems
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Author : G‚za ?dor
language : en
Publisher: World Scientific
Release Date : 2008

Universality In Nonequilibrium Lattice Systems written by G‚za ?dor and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.


"Universal scaling behavior is an attractive feature in statistical physics because a wide range of models can be classified purely in terms of their collective behavior due to a diverging correlation length. This book provides a comprehensive overview of dynamical universality classes occurring in nonequilibrium systems defined on regular lattices. The factors determining these diverse universality classes have yet to be fully understood, but the book attempts to summarize our present knowledge, taking them into account systematically." "The book helps the reader to navigate in the zoo of basic models and classes that were investigated in the past decades, using field theoretical formalism and topological diagrams of phase spaces. The extensions in this book include new topics like local scale invariance, tricritical points, phase space topologies, nonperturbative renormalization group results and disordered systems that are discussed in more detail. This book also aims to be more pedagogical, providing more background and derivation of results."--BOOK JACKET.



Synergetics


Synergetics
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Author : H. Haken
language : en
Publisher: Springer
Release Date : 1978

Synergetics written by H. Haken and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Language Arts & Disciplines categories.




Dynamics Of First Order Phase Transitions In Equilibrium And Nonequilibrium Systems


Dynamics Of First Order Phase Transitions In Equilibrium And Nonequilibrium Systems
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Author : Stephan W. Koch
language : en
Publisher: Springer
Release Date : 1984

Dynamics Of First Order Phase Transitions In Equilibrium And Nonequilibrium Systems written by Stephan W. Koch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Science categories.




Scaling And Phase Transitions In Nonequilibrium Surface Growth


Scaling And Phase Transitions In Nonequilibrium Surface Growth
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Author : Hong Yan
language : en
Publisher:
Release Date : 1991

Scaling And Phase Transitions In Nonequilibrium Surface Growth written by Hong Yan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.


conjecture a phase transition of a special kind, in which there is an unstable fixed point controlling the initial flows of the system. The flows to the unstable weak coupling fixed point may eventually follow the crossover to the strong coupling fixed point. This notion is able to account for the existing theoretical and numerical results.



Renormalization Group Analysis Of Nonequilibrium Phase Transitions In Driven Disordered Systems


Renormalization Group Analysis Of Nonequilibrium Phase Transitions In Driven Disordered Systems
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Author : Taiki Haga
language : en
Publisher: Springer
Release Date : 2019-01-24

Renormalization Group Analysis Of Nonequilibrium Phase Transitions In Driven Disordered Systems written by Taiki Haga and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-24 with Science categories.


This book investigates phase transitions and critical phenomena in disordered systems driven out of equilibrium. First, the author derives a dimensional reduction property that relates the long-distance physics of driven disordered systems to that of lower dimensional pure systems. By combining this property with a modern renormalization group technique, the critical behavior of random field spin models driven at a uniform velocity is subsequently investigated. The highlight of this book is that the driven random field XY model is shown to exhibit the Kosterlitz–Thouless transition in three dimensions. This is the first example of topological phase transitions in which the competition between quenched disorder and nonequilibrium driving plays a crucial role. The book also includes a pedagogical review of a renormalizaion group technique for disordered systems.



Equilibrium Statistical Mechanics Of Lattice Models


Equilibrium Statistical Mechanics Of Lattice Models
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Author : David A. Lavis
language : en
Publisher: Springer
Release Date : 2015-01-31

Equilibrium Statistical Mechanics Of Lattice Models written by David A. Lavis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-31 with Science categories.


Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models. Part I contains background material on classical thermodynamics and statistical mechanics, together with a classification and survey of lattice models. The geometry of phase transitions is described and scaling theory is used to introduce critical exponents and scaling laws. An introduction is given to finite-size scaling, conformal invariance and Schramm—Loewner evolution. Part II contains accounts of classical mean-field methods. The parallels between Landau expansions and catastrophe theory are discussed and Ginzburg--Landau theory is introduced. The extension of mean-field theory to higher-orders is explored using the Kikuchi--Hijmans--De Boer hierarchy of approximations. In Part III the use of algebraic, transformation and decoration methods to obtain exact system information is considered. This is followed by an account of the use of transfer matrices for the location of incipient phase transitions in one-dimensionally infinite models and for exact solutions for two-dimensionally infinite systems. The latter is applied to a general analysis of eight-vertex models yielding as special cases the two-dimensional Ising model and the six-vertex model. The treatment of exact results ends with a discussion of dimer models. In Part IV series methods and real-space renormalization group transformations are discussed. The use of the De Neef—Enting finite-lattice method is described in detail and applied to the derivation of series for a number of model systems, in particular for the Potts model. The use of Pad\'e, differential and algebraic approximants to locate and analyze second- and first-order transitions is described. The realization of the ideas of scaling theory by the renormalization group is presented together with treatments of various approximation schemes including phenomenological renormalization. Part V of the book contains a collection of mathematical appendices intended to minimise the need to refer to other mathematical sources.