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Introduction. Three Perspectives of the Standard Model: The Microscopic Driven Lattice Gas. Dynamic Mean-Field Theories. A Mesoscopic Langevin Equation. Long Range Correlations Above Criticality: Generic Singularities in Two-Point Functions. Three-Point Correlation Functions. Critical Phenomena: Simulation Studies. Theoretical Investigations. Physics Below Criticality: The Co-Existence Curve. Dynamics of Phase Separation. Interfacial Properties inSteady States. Variations of the Standard Model: Random Drive and Multiple Temperature Models. Chemical Potential Gradients and Drive Defects. The Two-Layer System. Multi-Species Models. Repulsive Interactions. Quenched Random Impurities. Special Limits. Related Non-Equilibrium Steady State Systems: Models with Competing Conserved and Non-Conserved Dynamics. Multi-Temperature Models with Glauber Dynamics. Models for Driven Interfaces. Gel Electrophoresis and Polymers in Sedimentation. Self-Organized Criticality and Other Models of Generic Scale Invariance. Liquids in Non-Equilibrium Steady States. Summary and Outlook. Acknowledgements. References. Index.
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
Graduate level, or above, students and researchers in theoretical/mathematical physics, theoretical chemistry, applied mathematics, condensed matter physics, and chemistry.
- No. of pages:
- © Academic Press 1995
- 24th July 1995
- Academic Press
- eBook ISBN:
Bar-Illan University, Ramat-Gan, Israel
Virginia Polytechnic Institute
Virginia Polytechnic Institute
Center for Mathematical Sciences Research, State University of New Jersey, U.S.A.
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