An Introduction to Anomalous Diffusion and Relaxation

Luiz Roberto Evangelista is Professor of Physics in the Department of Physics, Universidade Estadual de Maringá (Paraná, Brazil), and Visiting Professor in the Polytechnic of Turin (Italy). He received his Ph.D. on theoretical physics (field theory and particle physics) from University of São Paulo, Brazil, in 1988. His research interests are in complex fluids, complex systems, and history of physics and include mathematical physics of liquid crystals, diffusion problems, adsorption-desorption phenomena, and modern boundary value problems with applications in liquid-crystalline systems and impedance spectroscopy.   Ervin Kaminski Lenzi is Associate Professor in the Department of Physics, Universidade Estadual de Ponta Grossa (Paraná, Brazil). He received his Ph.D. on theoretical physics (statistical mechanics) from CBPF—Centro Brasileiro de Pesquisas Físicas (Rio de Janeiro, Brazil), in 2002. His research interests are in complex systems and stochastic processes and include anomalous diffusion processes, usual and fractional diffusion equations, and modern boundary value problems with applications in liquid-crystalline systems and impedance spectroscopy.

Preface.- Integral Transforms and Special Functions.- Concepts in Diffusion and Stochastic Processes.- Random Walks.- Elements of Fractional Calculus.- Fractional Anomalous Diffusion.- Adsorption Phenomena and Anomalous Behavior.- Reaction-Diffusion Problems.- Relaxation under Geometric Constraints I: Classical Processes.- Relaxation under Geometric Constraints II: Quantum Processes.- Index.