R.Klages, G.Radons, I.M.Sokolov (Eds.)
Anomalous Transport: Foundations and Applications

book coverThis 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 the following fundamental aspects of anomalous transport:
published by Wiley-VCH (Weinheim), 608 pages, EUR 157, July 2008; ISBN: 978-3-527-40722-4
advertisement by the publisher and book on Amazon.com
book review by G.H. Weiss, J.Stat.Phys. 135, 389 (2009): ``I’m not familiar with all of the topics discussed, and learned a lot, if not all of the subtleties inherent in them, as I’m sure will the reader.''

Table of Contents:

Title of contribution

B.Weyssow, D.del-Castillo-Negrete,
F.Mainardi, R.Sanchez,

In Memoriam: Radu Balescu
Part 1: Fractional calculus and stochastic theory

Introduction to Part 1
Institut fuer Computerphysik, Universitaet Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany
and Institut fuer Physik, Universitaet Mainz
Threefold introduction to fractional derivatives
Physical Sciences Division, Office of Naval Research, 875 N. Randolph Street, Arlington, Virginia 22203
Anomalous processes with infinite moments
R.Gorenflo*, F.Mainardi+
*Free Univeristy of Berlin, Department of Mathematics and Computer Science, Arnimallee 3, D-14195 Berlin, Germany
+University of Bologna, Department of Physics and INFN, Via Irnerio 46, I-40126 Bologna, Italy
Continuous time random walks, Mittag-Leffler waiting time and fractional diffusion: mathematical aspects
V.Yu. Gonchar*
*Institute for Theoretical Physics NSC KIPT Akademicheskaya st.1, 61108 Kharkov, Ukraine
+Theoretische Physik T30g
Physik Department
James Franck Strasse
D-85747 Garching
#School of Chemistry, Tel Aviv University, 69978 Tel Aviv, Israel
Introduction to the theory of Levy flights
Fusion Energy Division, Oak Ridge National Laboratory, P.O. Box 2008, MS 6169, Oak Ridge, TN 37831-6169, USA
Fractional diffusion models of anomalous transport (text)
Department of Physics, Bar-Ilan University, Ramat Gan 52900, Israel
Anomalous kinetics leads to weak ergodicity breaking
Part 2: Dynamical systems and deterministic transport

Introduction to Part 2
R.Artuso, G.Cristadoro Dipartimento di Fisica e Matematica, Universita degli studi dell'Insubria, Via Valleggio 11, 22100 Como, Italy Deterministic (anomalous) transport
E.G.Altmann, H.Kantz
Max Planck Institute for the Physics of Complex Systems, Noethnitzer Strasse 38, 01187 Dresden, Germany
Anomalous transport in Hamiltonian systems
S.Lepri, R.Livi, A.Politi
Dipartimento di Fisica - CSDC, Universitá di Firenze, via Sansone, 1 - I-50019 Sesto Fiorentino, Italy and INFN Sez. Firenze, via Sansone, 1 - I-50019 Sesto Fiorentino, Italy
Anomalous heat conduction
Part 3: Anomalous transport in disordered systems

Introduction to Part 3
Centre d'Etudes de Saclay (CEA) - Service de Physique de l'Etat Condense (SPEC), Orme des Meurisiers, 91191 Gif-sur-Yvette cedex, France
and Science & Finance, CFM, 6 Bd Haussmann, 75009 Paris, France
Anomalous relaxation in complex systems: from stretched to compressed exponentials
W.Kob*, G.A. Appignanesi+, J.A. Rodriguez Fris+, R.A. Montani+
*Laboratoire des Colloides, Verres et Nanomateriaux, UMR 5587, cc69, Universite Montpellier 2, 34095 Montpellier Cedex 05, France
Laboratorio de Fisicoquimica, Departamento de Quimica, Universidad Nacional del Sur, Av. Alem 1253, 8000 Bahia Blanca, Argentina
Anomalous transport in glassforming liquids
S.Yuste*, K.Lindenberg+, J.J.Ruiz-Lorenzo*
*Departamento de Fisica, Facultad de Ciencias, Universidad de Extremadura, E-06071 Badajoz, Spain
+Department of Chemistry and Biochemistry, University of California, San Diego
Subdiffusion limited reactions
K.H.Hoffmann, J.Prehl
Institute of Physics, Chemnitz University of Technology, D-09107 Chemnitz, Germany
Anomalous Transport on Disordered Fractals
Part 4: Applications to complex systems and experimental results

Introduction to Part 4
School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, UK
Superstatistics: Theoretical concepts and physical applications
MPI for Dynamics and Self-Organization, Dept. of Nonlinear Dynamics, Postfach 2853, 37018 Göttingen, Germany
Money circulation science - fractional dynamics in human mobility
R.Kimmich*, N.Fatkullin+, M.Kehr*, Y.Li*
*Universität Ulm, Sektion Kernresonanzspektroskopie, 89069 Ulm, Germany +Kazan State University, Department of Physics,  Kazan 420008, Tatarstan, Russia
Anomalous molecular displacement laws in porous media and polymers probed by nuclear magnetic resonance techniques
R.Valiullin, J.Kaerger Department of Interface Physics, University of Leipzig, Linnestr. 5, 04103 Leipzig, Germany
Anomalous molecular dynamics in confined spaces
A.Kusumi+, Y.Umemura+, N.Morone*, T.Fujiwara+
+Institute for Frontier Medical Sciences, Kyoto University, Shougoin, Kyoto, 606-8507, Japan
*National Institute of Neuroscience, National Center of Neurology and Psychiatry, Tokyo
Paradigm shift of the molecular dynamics concept in the cell membrane: high-speed single-molecule tracking revealed the partitioning of the cell membrane

last update: 18/03/2013