Nonequilibrium Statistical Mechanics in One Dimension

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Paperback | 25 August 2005

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492 Pages

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This book reviews one-dimensional reactions, dynamics, diffusion, and adsorption. In studies of complex systems in biology, chemistry and physics, understanding can be gained by analytical and numerical analyses of simple models. This book presents review articles at an advanced research level, describing results for one-dimensional models of dynamical processes such as chemical reactions and catalysis, kinetic Ising models, phase separation and cluster growth, monolayer and multilayer adsorption with added relaxation, surface and hard-core particle dynamics, diffusional transport, and random systems. It also covers experimental results for systems ranging from chemical reactions to adsorption and reactions on polymer chains, steps on crystalline surfaces, and DNA. All chapters are written by leading scientists in the field. They present a self-contained review of this subject that will guide readers from basic concepts, ideas, methods and models to the forefront of research. Researchers in physics, chemistry and biology will find this book invaluable.

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"The structure of this book - written by the leading specialists in the field - is well adapted to offer an overview of the current research areas...Due to the recent "hot topics" approached, as well as to its systematic, clear and rigorous structure, this book will be of interest both to graduate students and researchers in theoretical and experimental physics and chemistry, applied mathematics, and biology." mathematical reviews clippings 98h

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You Can Find This Book In

Non-Fiction Science Physics Classical Mathematics Statistical Physics

Reaction-Diffusion Systems and Models of Catalysis
Scaling theories of diffusion-controlled and ballistically-controlled bimolecular reactions
The coalescence process, A+A->A, and the method of interparticle distribution functions
Critical phenomena at absorbing states
Kinetic Ising Models
Kinetic ising models with competing dynamics: mappings, correlations, steady states, and phase transitions
Glauber dynamics of the ising model
1D Kinetic ising models at low temperatures - critical dynamics, domain growth, and freezing
Ordering, Coagulation, Phase Separation
Phase-ordering dynamics in one dimension
Phase separation, cluster growth, and reaction kinetics in models with synchronous dynamics
Stochastic models of aggregation with injection
Random Sequential Adsorption and Relaxation Processes
Random and cooperative sequential adsorption: exactly solvable problems on 1D lattices, continuum limits, and 2D extensions
Lattice models of irreversible adsorption and diffusion
Deposition-evaporation dynamics: jamming, conservation laws and dynamical diversity
Fluctuations In Particle and Surface Systems
Microscopic models of macroscopic shocks
The asymmetric exclusion model: exact results through a matrix approach
Nonequilibrium surface dynamics with volume conservation
Directed walks models of polymers and wetting
Diffusion and Transport In One Dimension
Some recent exact solutions of the Fokker-Planck equation
Random walks, resonance, and ratchets
One-dimensional random walks in random environment
Experimental Results
Diffusion-limited exciton kinetics in one-dimensional systems
Experimental investigations of molecular and excitonic elementary reaction kinetics in one-dimensional systems
Luminescence quenching as a probe of particle distribution
Index
Table of Contents provided by Publisher. All Rights Reserved.

Nonequilibrium Statistical Mechanics in One Dimension

At a Glance

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