Keyword

superdiffusion

Description: A form of anomalous transport in which the mean squared displacement grows faster with time than it does in ordinary diffusion.

Primary topic: Fractional Differential Equations Solutions (25%)

OpenAlex ID: keywords/superdiffusion

The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

2004 · Ralf Metzler, Joseph Klafter · Journal of Physics A Mathematical and General · 2,351

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The scaling laws of human travel

2006 · D. Brockmann, L. Hufnagel, et al. · Nature · 2,206

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Chaos, fractional kinetics, and anomalous transport

2002 · G ZASLAVSKY · Physics Reports · 1,613

On the Levy-Walk Nature of Human Mobility

2011 · Injong Rhee, Minsu Shin, et al. · IEEE/ACM Transactions on Networking · 1,026

Particle Diffusion in a Quasi-Two-Dimensional Bacterial Bath

2000 · Xiao-Lun Wu, Albert Libchaber · Physical Review Letters · 903

Structure and Dynamics of a Phase-Separating Active Colloidal Fluid

2013 · Gabriel S. Redner, Michael F. Hagan, et al. · Physical Review Letters · 842

Superdiffusive Spin Transport as a Mechanism of Ultrafast Demagnetization

2010 · M. Battiato, K. Carva, et al. · Physical Review Letters · 802

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Observation of anomalous diffusion and Lévy flights in a two-dimensional rotating flow

1993 · T. H. Solomon, Eric R. Weeks, et al. · Physical Review Letters · 721

Animal Search Strategies: a Quantitative Random-walk Analysis

2005 · Frederic Bartumeus, M. G E. da Luz, et al. · Ecology · 703

Collective motion of self-propelled particles interacting without cohesion

2008 · Hugues Chaté, Francesco Ginelli, et al. · Physical Review E · 697

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First Steps in Random Walks

2011 · J. Klafter, I. M. Sokolov · Oxford University Press eBooks · 601

Anomalous diffusion in the presence of external forces: Exact time-dependent solutions and their thermostatistical basis

1996 · Constantino Tsallis, Dirk Jan Bukman · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 596

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A second-order accurate numerical approximation for the fractional diffusion equation

2005 · Charles Tadjeran, Mark M. Meerschaert, et al. · Journal of Computational Physics · 579

Simplified models for turbulent diffusion: Theory, numerical modelling, and physical phenomena

1999 · Andrew J. Majda, Peter R. Kramer · Physics Reports · 508

Cytoskeletal remodelling and slow dynamics in the living cell

2005 · Predrag Bursac, Guillaume Lenormand, et al. · Nature Materials · 487

How Many Animals Really Do the Lévy Walk?

2007 · Simon Benhamou · Ecology · 480

Fractional Langevin equation

2001 · Eric Lutz · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 455

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Lévy flights and superdiffusion in the context of biological encounters and random searches

2008 · G.M. Viswanathan, E.P. Raposo, et al. · Physics of Life Reviews · 452

Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations

2002 · A. V. Chechkin, R. Gorenflo, et al. · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 450

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Superdiffusion and Non-Gaussian Statistics in a Driven-Dissipative 2D Dusty Plasma

2008 · Bin Liu, J. Goree · Physical Review Letters · 383

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Floquet Spectrum and Transport through an Irradiated Graphene Ribbon

2011 · Zhenghao Gu, H. A. Fertig, et al. · Physical Review Letters · 377

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Fluctuations and response in financial markets: the subtle nature of ‘random’ price changes

2004 · Jean-Philippe Bouchaud, Yuval Gefen, et al. · Quantitative Finance · 370

A second-order accurate numerical method for the two-dimensional fractional diffusion equation

2006 · Charles Tadjeran, Mark M. Meerschaert · Journal of Computational Physics · 355

Dynamics of interface depinning in a disordered medium

1992 · Thomas Nattermann, Semjon Stepanow, et al. · Journal de Physique II · 345

Anomalous dynamics of cell migration

2008 · Peter Dieterich, Rainer Klages, et al. · Proceedings of the National Academy of Sciences · 340

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Works count: 3,886

Citation count: 83,410