Diffusion and Reactions in Fractals and Disordered Systems

ISBN: 9780521617208 出版年：2000 页码：332 Daniel ben-Avraham Shlomo Havlin Cambridge University Press

Preface Part I. Basic Concepts: 1. Fractals 2. Percolation 3. Random walks and diffusion 4. Beyond random walks Part II. Anomalous Diffusion: 5. Diffusion in the Sierpinski gasket 6. Diffusion in percolation clusters 7. Diffusion in loopless structures 8. Disordered transition rates 9. Biased anomalous diffusion 10. Excluded-volume interactions Part III. Diffusion-Limited Reactions: 11. Classical models of reactions 12. Trapping 13. Simple reaction models 14. Reaction-diffusion fronts Part IV. Diffusion-Limited Coalescence: An Exactly Solvable Model: 15. Coalescence and the IPDF method 16. Irreversible coalescence 17. Reversible coalescence 18. Complete representations of coalescence 19. Finite reaction rates Appendix A. Fractal dimension Appendix B. Number of distinct sites visited by random walks Appendix C. Exact enumeration Appendix D. Long-range correlations References Index.