Nonequilibrium Statistical Mechanics in One Dimension

by Edited by Vladimir Privman

• ISBN13: 9780521018340
• ISBN10: 052101834X
• Edition: Revised
• Format: Paperback
• Copyright: 2005-08-22
• Publisher: Cambridge University Press

Summary

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, random systems and experimental results. 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 a reader from basic concepts, ideas, methods and models to the forefront of research.

Table of Contents

Part I. Reaction-Diffusion Systems and Models of Catalysis

1. Scaling theories of diffusion-controlled and ballistically-controlled bimolecular reactions S. Redner

2. The coalescence process, A+A->A, and the method of interparticle distribution functions D. ben-Avraham

3. Critical phenomena at absorbing states R. Dickman

Part II. Kinetic Ising Models

4. Kinetic ising models with competing dynamics: mappings, correlations, steady states, and phase transitions Z. Racz

5. Glauber dynamics of the ising model N. Ito

6. 1D Kinetic ising models at low temperatures - critical dynamics, domain growth, and freezing S. Cornell

Part III. Ordering, Coagulation, Phase Separation

7. Phase-ordering dynamics in one dimension A. J. Bray

8. Phase separation, cluster growth, and reaction kinetics in models with synchronous dynamics V. Privman

9. Stochastic models of aggregation with injection H. Takayasu and M. Takayasu

Part IV. Random Sequential Adsorption and Relaxation Processes

10. Random and cooperative sequential adsorption: exactly solvable problems on 1D lattices, continuum limits, and 2D extensions J. W. Evans

11. Lattice models of irreversible adsorption and diffusion P. Nielaba

12. Deposition-evaporation dynamics: jamming, conservation laws and dynamical diversity M. Barma

Part V. Fluctuations In Particle and Surface Systems

13. Microscopic models of macroscopic shocks S. A. Janowsky and J. L. Lebowitz

14. The asymmetric exclusion model: exact results through a matrix approach B. Derrida and M. R. Evans

15. Nonequilibrium surface dynamics with volume conservation J. Krug

16. Directed walks models of polymers and wetting J. Yeomans

Part VI. Diffusion and Transport In One Dimension

17. Some recent exact solutions of the Fokker-Planck equation H. L. Frisch

18. Random walks, resonance, and ratchets C. R. Doering and T. C. Elston

19. One-dimensional random walks in random environment K. Ziegler

Part VII. Experimental Results

20. Diffusion-limited exciton kinetics in one-dimensional systems R. Kroon and R. Sprik

21. Experimental investigations of molecular and excitonic elementary reaction kinetics in one-dimensional systems R. Kopelman and A. L. Lin

22. Luminescence quenching as a probe of particle distribution S. H. Bossmann and L. S. Schulman

Index.