and Reactions in Fractals and Disordered Systems
ben-Avraham, Clarkson University,New York,U.S.A.
Shlomo Havlin, Bar Ilan University, Ramat Gan, Israel
University Press, 2000
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
Part three serves as an introduction to the kinetics of
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.
3.Random walks and diffusion
4.Beyond random walks
5.Diffusion in the Sierpinski gasket
6.Diffusion in percolation clusters
7.Diffusion in loopless structures
8.Disordered transition rates
9.Biased anomalous diffusion
11.Classical models of reactions
13.Simple reaction models
four:Diffusion-limited coalescence: an exactly solvable model
15.Coalescence and the IPDF method
18.Complete representations of coalescence
19.Finite reaction rates
A The fractal dimension
Appendix B The number of distinct sites visited by random walks
Appendix C Exact enumeration
Appendix D Long-range correlations