Diffusion and Reactions in Fractals and Disordered Systems

Daniel Ben-Avraham, Schlomo Havlin

316 pages, parution le 04/04/2005

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Résumé

Fractal structures are found everywhere in nature, and as a consequence anomalous diffusion has far reaching implications in a host of phenomena. This book describes diffusion and transport in disordered media such as fractals, porous rocks and random resistor networks. Divided into four Parts, Part I contains material of general interest to statistical physics: fractals, percolation theory, regular random walks and diffusion, continuous time random walks and Lévy walks and flights. Part II covers anomalous diffusion in fractals and disordered media, while Part III serves as an introduction to the kinetics of diffusion-limited reactions. Part IV discusses the problem of diffusion-limited coalescence in one dimension. This book will be of particular interest to researchers requiring a clear introduction to the field. It will also be of interest to graduate students studying in areas of physics, chemistry, and engineering.

Sommaire

Preface
Basic Concepts
- Fractals
- Percolation
- Random walks and diffusion
- Beyond random walks
Anomalous Diffusion
- Diffusion in the Sierpinski gasket
- Diffusion in percolation clusters
- Diffusion in loopless structures
- Disordered transition rates
- Biased anomalous diffusion
- Excluded-volume interactions
Diffusion-Limited Reactions
- Classical models of reactions
- Trapping
- Simple reaction models
- Reaction-diffusion fronts
Diffusion-Limited Coalescence: An Exactly Solvable Model
- Coalescence and the IPDF method
- Irreversible coalescence
- Reversible coalescence
- Complete representations of coalescence
- 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

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	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Daniel Ben-Avraham, Schlomo Havlin
Parution	04/04/2005
Nb. de pages	316
Format	19 x 24,5
Couverture	Broché
Poids	607g
Intérieur	Noir et Blanc
EAN13	9780521617208
ISBN13	978-0-521-61720-8