**Diffusion
and Reactions in Fractals and Disordered Systems**

**Daniel
ben-Avraham**, Clarkson University,New York,U.S.A.

**Shlomo Havlin**, Bar Ilan University, Ramat Gan, Israel

*Cambridge
University Press, 2000*

Fractal
structures are found everywhere in nature, and as a consequence
anomalous diffusion has far-reaching implications for a host of
phenomena. This book describes diffusion and transport in disordered
media such as fractals, porous rocks, and random resistor networks.

*Part one* contains material of general interest to statistical
physics:fractals,percolation theory, regular random walks and
diffusion,continuous-time random walks and Levy walks and flights.

*Part two* covers anomalous diffusion in fractals and disordered
media,while

*Part three *serves as an introduction to the kinetics of
diffusion-limited reactions.

*Part four* discusses the problem of diffusion-limited coalescence
in one dimension.

This book, written in a pedagogical style,is intended for upper-level
undergraduates and graduate students studying physics, chemistry,
and engineering. It also will be of particular interest to young
researchers requiring a clear introduction to the field.

Contents:

**Part
one:Basic concepts**

1.Fractals

2.Percolation

3.Random walks and diffusion

4.Beyond random walks

**Part
two: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
three:Diffusion-limited reactions**

11.Classical models of reactions

12.Trapping

13.Simple reaction models

14.Reaction-diffusion fronts

**Part
four: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 The fractal dimension *

Appendix B The number of distinct sites visited by random walks

Appendix C Exact enumeration

Appendix D Long-range correlations