Anomalous transport : foundations and applications

摘要: In Memoriam: Radu Balescu Part I FRACTIONAL CALCULUS AND STOCHASTIC THEORY Threefold Introduction to Fractional Derivatives (Rudolf Hilfer) Random Processes with Infinite Moments (Michael F. Shlesinger) Continuous Time Walk, Mittag-Leffler Waiting and Diffusion: Mathematical Aspects Gorenflo Francesco Mainardi) the Theory of Levy Flights (Alexei V. Chechkin, Ralf Metzler, Joseph Klafter, Vsevolod Yu. Gonchar) Diffusion Models Anomalous Transport (Diego del-Castillo-Negrete) Kinetics Leads Weak Ergodicity Breaking (Eli Barkai) II DYNAMICAL SYSTEMS DETERMINISTIC TRANSPORT Deterministic (Anomalous) (Roberto Artuso Giampaolo Cristadoro) in Hamiltonian Systems (Eduardo G. Altmann Holger Kantz) Heat Conduction (Stefano Lepri, Roberto Livi, Antonio Politi) III ANOMALOUS IN DISORDERED Relaxation Complex Systems: From Stretched Compressed Exponentials (Jean-Philippe Bouchaud) Glass-Forming Liquids (Walter Kob, Gustavo A. Appignanesi, J. Ariel Rodriguez Fris, Ruben Montani) Subdiffusion-Limited Reactions (Santos Bravo Yuste, Katja Lindenberg, Juan Jesus Ruiz-Lorenzo) on Disordered Fractals (Karl Heinz Hoffmann Janett Prehl) IV APPLICATIONS TO COMPLEX EXPERIMENTAL RESULTS Superstatistics: Theoretical Concepts Physical Applications (Christian Beck) Money Circulation Science - Dynamics Human Mobility (Dirk Brockmann) Molecular Displacement Laws Porous Media Polymers Probed by Nuclear Magnetic Resonance Techniques (Rainer Kimmich, Nail Fatkullin, Markus Kehr, Yujie Li) Confined Spaces (Rustem Valiullin Jorg Karger) Paradigm Shift Concept Cell Membrane: High-Speed Single-Molecule Tracking Revealed Partitioning Membrane (A. Kusumi, Y. Umemura, N. Morone, T. Fujiwara)