Anomalous Transport Foundations and

This multi-author reference work provides a unique introduction to the currently emerging, highly interdisciplinary field of those transport processes that cannot be described by using standard methods of statistical mechanics. It comprehensively summarizes topics ranging from mathematical foundations of anomalous dynamics to the most recent experiments in this field. In so doing, this monograph extracts and emphasizes common principles and methods from many different disciplines while providing up-to-date coverage of this new field of research, considering such diverse applications as plasma physics, glassy material, cell science, and socio-economic aspects. The book will be of interest to both theorists and experimentalists in nonlinear dynamics, statistical physics and stochastic processes. It also forms an ideal starting point for graduate students moving into this area. 18 chapters written by internationally recognized experts in this field provide in-depth introductions to fundamental aspects of anomalous transport.

RAINER KLAGES, lecturer in applied mathematics at the Queen Mary University of London, studied physics and philosophy at the Technical University of Berlin. His research stations were Maryland/USA, Budapest, Brussels, and Dresden and his main research interests are nonlinear dynamics, complex systems, and nonequilibrium statistical mechanics.

G+£NTER RADONS holds the Chair for theoretical physics, complex systems and nonlinear dynamics at the Institute of Physics, Chemnitz University of Technology. His main research interests are theoretical foundations of complex systems, data analysis and modelling, applications in natural sciences and engineering.

IGOR M. SOKOLOV holds the Chair for statistical physics and nonlinear dynamics at the Institute of Physics, Humboldt-University at Berlin. His main research interests cover statistical physics as well as physical chemistry of condensed and soft matter, especially problems regarding disordered systems and polymers.

Preface
List of Contributors
In Memoriam: Radu Balescu
Fractional Calculus and Stochastic Theory
Introduction to Part I
Threefold Introduction to Fractional Derivatives
Random Processes with Infinite Moments
Continuous Time Random Walk, Mittag-Leffler Waiting Time and Fractional Diffusion: Mathematical Aspects
Introduction to the Theory of L_vy Flights
Fractional Diffusion Models of Anomalous Transport
Anomalous Kinetics Leads to Weak Ergodicity Breaking
Dynamical Systems and Deterministic Transport
Introduction to Part II
Deterministic (Anomalous) Transport
Anomalous Transport in Hamiltonian Systems
Anomalous Heat Conduction
Anomalous Transport in Disordered Systems
Introduction to Part III
Anomalous Relaxation in Complex Systems: From Stretched to Compressed Exponentials
Anomalous Transport in Glass-Forming Liquids
Subdiffusion-Limited Reactions
Anomalous Transport on Disordered Fractals
Applications to Complex Systems and Experimental Results
Introduction to Part IV
Superstatistics: Theoretical Concepts and Physical Applications
Money Circulation Science - Fractional Dynamics in Human Mobility
Anomalous Molecular Displacement Laws in Porous Media and Polymers Probed by Nuclear Magnetic Resonance Techniques
Anomalous Molecular Dynamics in Confined Spaces
Paradigm Shift of the Molecular Dynamics Concept in the Cell Membrane: High-Speed Single-Molecule Tracking Revealed the Partitioning of the Cell Membrane
Index
Table of Contents provided by Publisher. All Rights Reserved.

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Anomalous Transport Foundations and Applications

Summary

Author Biography

Table of Contents

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