Author(s)
|
Affiliation
|
Title
of contribution
|
R.Klages
|
|
Preface
|
B.Weyssow,
D.del-Castillo-Negrete,
F.Mainardi, R.Sanchez,
A.Vulpiani
|
|
In
Memoriam: Radu Balescu
|
Part 1: Fractional calculus and
stochastic
theory
|
I.M.Sokolov
|
|
Introduction
to Part 1
|
R.Hilfer
|
Institut fuer
Computerphysik, Universitaet Stuttgart, Pfaffenwaldring 27,
70569 Stuttgart, Germany
and Institut fuer Physik,
Universitaet Mainz
|
Threefold
introduction to fractional
derivatives
|
M.F.Shlesinger
|
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
|
A.V.Chechkin*,
R.Metzler+,
J.Klafter#,
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
Germany
#School of Chemistry, Tel Aviv University, 69978 Tel Aviv, Israel
|
Introduction
to the theory of Levy
flights
|
D.del-Castillo-Negrete
|
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)
(eps-figures)
|
E.Barkai
|
Department of
Physics, Bar-Ilan
University, Ramat Gan 52900, Israel
|
Anomalous
kinetics leads to weak ergodicity breaking |
Part 2: Dynamical systems and
deterministic
transport
|
R.Klages
|
|
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
|
G.Radons
|
|
Introduction
to Part 3
|
J.-P.Bouchaud
|
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
|
R.Klages
|
|
Introduction
to Part 4
|
C.Beck
|
School of
Mathematical Sciences,
Queen Mary, University of London, Mile End Road, London E1 4NS, UK
|
Superstatistics:
Theoretical
concepts and physical applications
|
D.Brockmann
|
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
|
Index
|
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 the following fundamental aspects of anomalous
transport: