Statistical Mechanics Of Driven Diffusive Systems

Author : Anonim
Publisher : Elsevier
Page : 220 pages
File Size : 42,8 Mb
Release : 1995-07-24
Category : Science
ISBN : 0080538746

Get Book

Statistical Mechanics of Driven Diffusive Systems by Anonim Pdf

Far-from-equilibrium phenomena, while abundant in nature, are not nearly as well understood as their equilibrium counterparts. On the theoretical side, progress is slowed by the lack of a simple framework, such as the Boltzmann-Gbbs paradigm in the case of equilibrium thermodynamics. On the experimental side, the enormous structural complexity of real systems poses serious obstacles to comprehension. Similar difficulties have been overcome in equilibrium statistical mechanics by focusing on model systems. Even if they seem too simplistic for known physical systems, models give us considerable insight, provided they capture the essential physics. They serve as important theoretical testing grounds where the relationship between the generic physical behavior and the key ingredients of a successful theory can be identified and understood in detail. Within the vast realm of non-equilibrium physics, driven diffusive systems form a subset with particularly interesting properties. As a prototype model for these systems, the driven lattice gas was introduced roughly a decade ago. Since then, a number of surprising phenomena have been discovered including singular correlations at generic temperatures, as well as novel phase transitions, universality classes, and interfacial instabilities. This book summarizes current knowledge on driven systems, from apedagogical discussion of the original driven lattice gas to a brief survey of related models. Given that the topic is far from closed, much emphasis is placed on detailing open questions and unsolved problems as an incentive for the reader to pursue thesubject further. Provides a summary of current knowledge on driven diffusive systems Emphasis is placed on detailing open questions and unsolved problems Covers the entire subject from original driven lattice gas to a survey of related models

Author : Cyril Domb,Melville S. Green
Publisher : Unknown
Page : 220 pages
File Size : 41,5 Mb
Release : 2001
Category : Critical phenomena (Physics)
ISBN : UOM:39015049728820

Get Book

Phase Transitions and Critical Phenomena by Cyril Domb,Melville S. Green Pdf

Author : [Anonymus AC01412183]
Publisher : Unknown
Page : 220 pages
File Size : 48,5 Mb
Release : 1995
Category : Critical phenomena (Physics)
ISBN : 0122203178

Get Book

Phase transitions and critical phenomena. 17. Statistical mechanics of driven diffusive systems by [Anonymus AC01412183] Pdf

Author : C. Domb,M. S. Green,J. L. Lebowitz
Publisher : Unknown
Page : 128 pages
File Size : 44,8 Mb
Release : 1972
Category : Electronic
ISBN : 0122203070

Get Book

Phase Transitions and Critical Phenomena by C. Domb,M. S. Green,J. L. Lebowitz Pdf

Author : Alan McKane,Michel Droz,Jean Vannimenus,Dietrich Wolf
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 49,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781489914217

Get Book

Scale Invariance, Interfaces, and Non-Equilibrium Dynamics by Alan McKane,Michel Droz,Jean Vannimenus,Dietrich Wolf Pdf

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.

Author : Bailin Hao
Publisher : World Scientific
Page : 598 pages
File Size : 41,6 Mb
Release : 1996-03-18
Category : Electronic
ISBN : 9789814549080

Get Book

Statphys 19 - Proceedings Of The 19th Iupap International Conference On Statistical Physics by Bailin Hao Pdf

The 19th IUPAP International Conference on Statistical Physics is devoted to the general field of statistical physics, including traditional topics such as statistical methods concerning the static and dynamic properties of mesoscopic and macroscopic states of matter, as well as hot topics of current interest in applications of statistical physics. These include quantum chaos and turbulence, structures and patterns, fractals, neural networks, computer simulation and visualization in statistical physics, disordered systems and heterogeneous systems, simple and complex fluids.

Author : Andreas Schadschneider,Debashish Chowdhury,Katsuhiro Nishinari
Publisher : Elsevier
Page : 582 pages
File Size : 44,7 Mb
Release : 2010-10-01
Category : Science
ISBN : 0080560520

Get Book

Stochastic Transport in Complex Systems by Andreas Schadschneider,Debashish Chowdhury,Katsuhiro Nishinari Pdf

The first part of the book provides a pedagogical introduction to the physics of complex systems driven far from equilibrium. In this part we discuss the basic concepts and theoretical techniques which are commonly used to study classical stochastic transport in systems of interacting driven particles. The analytical techniques include mean-field theories, matrix product ansatz, renormalization group, etc. and the numerical methods are mostly based on computer simulations. In the second part of the book these concepts and techniques are applied not only to vehicular traffic but also to transport and traffic-like phenomena in living systems ranging from collective movements of social insects (for example, ants) on trails to intracellular molecular motor transport. These demonstrate the conceptual unity of the fundamental principles underlying the apparent diversity of the systems and the utility of the theoretical toolbox of non-equilibrium statistical mechanics in interdisciplinary research far beyond the traditional disciplinary boundaries of physics. Leading industry experts provide a broad overview of the interdisciplinary nature of physics Presents unified descriptions of intracellular, ant, and vehicular traffic from a physics point of view Applies theoretical methods in practical everyday situations Reference and guide for physicists, engineers and graduate students

Author : Vladimir Privman
Publisher : Cambridge University Press
Page : 490 pages
File Size : 45,9 Mb
Release : 1997-02-20
Category : Science
ISBN : 9780521559744

Get Book

Nonequilibrium Statistical Mechanics in One Dimension by Vladimir Privman Pdf

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

Author : Richard J. Gaylord,Kazume Nishidate
Publisher : Springer
Page : 266 pages
File Size : 51,9 Mb
Release : 2013-12-21
Category : Science
ISBN : 9781468494051

Get Book

Modeling Nature by Richard J. Gaylord,Kazume Nishidate Pdf

A guide to using Mathematica so as to explore cellular automata within natural phenomena, such as insect colonies, bird flight paths and even DNA sequencing. Designed for physicists, life scientists, and engineers - in fact, everyone dealing with fractals - the book first introduces Mathematica before going on to provide the valuable information needed to properly motivate the code and run the simulations presented in the book. All these simulations have been tested both inside and outside the classroom setting, allowing the book's use as reference material as well as a textbook or course supplement. Packaged together with a DOS diskette enabling cross-platfform access to the code. The files will also be accessible via the World Wide Web.

Author : Pavel L. Krapivsky,Sidney Redner,Eli Ben-Naim
Publisher : Cambridge University Press
Page : 128 pages
File Size : 45,6 Mb
Release : 2010-11-18
Category : Science
ISBN : 9781139493345

Get Book

A Kinetic View of Statistical Physics by Pavel L. Krapivsky,Sidney Redner,Eli Ben-Naim Pdf

Aimed at graduate students, this book explores some of the core phenomena in non-equilibrium statistical physics. It focuses on the development and application of theoretical methods to help students develop their problem-solving skills. The book begins with microscopic transport processes: diffusion, collision-driven phenomena, and exclusion. It then presents the kinetics of aggregation, fragmentation and adsorption, where the basic phenomenology and solution techniques are emphasized. The following chapters cover kinetic spin systems, both from a discrete and a continuum perspective, the role of disorder in non-equilibrium processes, hysteresis from the non-equilibrium perspective, the kinetics of chemical reactions, and the properties of complex networks. The book contains 200 exercises to test students' understanding of the subject. A link to a website hosted by the authors, containing supplementary material including solutions to some of the exercises, can be found at www.cambridge.org/9780521851039.

Author : David P. Landau,Steven P. Lewis,Heinz-Bernd Schüttler
Publisher : Springer Science & Business Media
Page : 173 pages
File Size : 41,8 Mb
Release : 2007-08-02
Category : Science
ISBN : 9783540326403

Get Book

Computer Simulation Studies in Condensed-Matter Physics XVIII by David P. Landau,Steven P. Lewis,Heinz-Bernd Schüttler Pdf

This status report features the most recent developments in the field, spanning a wide range of topical areas in the computer simulation of condensed matter/materials physics. Both established and new topics are included, ranging from the statistical mechanics of classical magnetic spin models to electronic structure calculations, quantum simulations, and simulations of soft condensed matter.

Author : Burkhard Dünweg,David P. Landau,Andrey I. Milchev
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 52,8 Mb
Release : 2013-03-07
Category : Science
ISBN : 9789401001731

Get Book

Computer Simulations of Surfaces and Interfaces by Burkhard Dünweg,David P. Landau,Andrey I. Milchev Pdf

Studies of surfaces and interactions between dissimilar materials or phases are vital for modern technological applications. Computer simulation methods are indispensable in such studies and this book contains a substantial body of knowledge about simulation methods as well as the theoretical background for performing computer experiments and analyzing the data. The book is self-contained, covering a range of topics from classical statistical mechanics to a variety of simulation techniques, including molecular dynamics, Langevin dynamics and Monte Carlo methods. A number of physical systems are considered, including fluids, magnets, polymers, granular media, and driven diffusive systems. The computer simulation methods considered include both standard and accelerated versions. The simulation methods are clearly related to the fundamental principles of thermodynamics and statistical mechanics.

Author : Rainer Klages,Wolfram Just,Christopher Jarzynski
Publisher : John Wiley & Sons
Page : 450 pages
File Size : 47,9 Mb
Release : 2013-03-15
Category : Science
ISBN : 9783527658725

Get Book

Nonequilibrium Statistical Physics of Small Systems by Rainer Klages,Wolfram Just,Christopher Jarzynski Pdf

This book offers a comprehensive picture of nonequilibrium phenomena in nanoscale systems. Written by internationally recognized experts in the field, this book strikes a balance between theory and experiment, and includes in-depth introductions to nonequilibrium fluctuation relations, nonlinear dynamics and transport, single molecule experiments, and molecular diffusion in nanopores. The authors explore the application of these concepts to nano- and biosystems by cross-linking key methods and ideas from nonequilibrium statistical physics, thermodynamics, stochastic theory, and dynamical systems. By providing an up-to-date survey of small systems physics, the text serves as both a valuable reference for experienced researchers and as an ideal starting point for graduate-level students entering this newly emerging research field.

Author : G‚za ?dor
Publisher : World Scientific
Page : 297 pages
File Size : 44,9 Mb
Release : 2008
Category : Science
ISBN : 9789812812278

Get Book

Universality in Nonequilibrium Lattice Systems by G‚za ?dor Pdf

"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.

Author : Andrea J. Liu,Sidney R. Nagel
Publisher : CRC Press
Page : 576 pages
File Size : 49,9 Mb
Release : 2001-02-22
Category : Science
ISBN : 9781482268171

Get Book

Jamming and Rheology by Andrea J. Liu,Sidney R. Nagel Pdf

The subject of jamming and rheology is a broad and interdisciplinary one that is generating increasing interest. This book deals with one of the oldest unsolved problems in condensed matter physics - that of the nature of glass transition in supercooled liquids. Jamming and Rheology is a collection of reprinted articles from several fields, ran