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Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 2014, Volume 111, Issue 2, pp. 728 - 733
Journal Article
Nature Photonics, ISSN 1749-4885, 03/2013, Volume 7, Issue 3, pp. 197 - 204
Over the past decade, the Anderson localization of light and a wide variety of associated phenomena have come to the forefront of research. Numerous... 
TRANSITION | WAVE | TRANSPORT | PHYSICS, APPLIED | DYNAMICS | OPTICS | QUANTUM SUPERDIFFUSION | DISCRETE SOLITONS | Mathematical analysis | Electromagnetic waves | Disorders | Anderson localization | Schroedinger equation | Localization | Position (location) | Crystal structure
Journal Article
Frontiers in Physics, ISSN 2296-424X, 01/2020, Volume 7
In this mini-review, we addressed the transient-anomalous diffusion by MRI, starting from the assumption that transient-anomalous diffusion is ubiquitously... 
superdiffusion | pseudo-superdiffusion | internal magnetic field gradients | diffusion NMR | subdiffusion | anomalous diffusion
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 10/2015, Volume 339, Issue 2, pp. 407 - 453
Journal Article
Physical Review Letters, ISSN 0031-9007, 06/2017, Volume 118, Issue 22, p. 228102
We describe a new mechanism for Levy walks, explaining the recently observed superdiffusion of swarming bacteria. The model hinges on several key physical... 
DISTRIBUTIONS | ANOMALOUS DIFFUSION | TRANSPORT | FISH SCHOOLS | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | FLIGHTS | SEARCH PATTERNS | NOISE | SUPERDIFFUSION | FLOW
Journal Article
Nature Physics, ISSN 1745-2473, 12/2012, Volume 8, Issue 12, pp. 912 - 917
In 1958, Philip Anderson argued that disorder can transform a conductor into an insulator, as multiple scattering from disorder brings transport to a complete... 
ANDERSON LOCALIZATION | PHYSICS, MULTIDISCIPLINARY | PHOTONIC LATTICES | QUANTUM SUPERDIFFUSION | DISCRETE SOLITONS | Particle accelerators | Stochastic models | Disorders | Anderson localization | Matter waves | Transport | Diffusion | Position (location) | Acceleration | Dynamical systems
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 01/2016, Volume 30, Issue 1-3, pp. 115 - 127
In this paper, the space-time fractional diffusion equation related to the electromagnetic transient phenomena in transmission lines is studied, three cases... 
Transmission lines | Superdiffusion | Fractional diffusion | Caputo derivative | Anomalous diffusion | Subdiffusion | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | PHYSICS, FLUIDS & PLASMAS | PHYSICS, MATHEMATICAL | Analysis | Models | Electromagnetism
Journal Article
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, ISSN 0036-1410, 2019, Volume 51, Issue 1, pp. 469 - 488
This paper is devoted to the rigorous derivation of the macroscopic limit of a Vlasov- Fokker-Planck equation in which the Laplacian is replaced by a... 
SYSTEM | MATHEMATICS, APPLIED | fractional Fokker-Planck operator | fractional Laplacian | superdiffusion | anomalous diffusion limit | kinetic equations
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 08/2019, Volume 60, Issue 8, p. 83303
We show that a quantum particle in Rd, for d ⩾ 1, subject to a white-noise potential, moves superballistically in the sense that the mean square displacement... 
DYNAMICS | DIFFUSION | SUPERDIFFUSION | PHYSICS, MATHEMATICAL | Time dependence | Noise | Markov chains | Probability | Condensed Matter | Mathematics | Statistical Mechanics | Mathematical Physics | Physics
Journal Article
Water Resources Research, ISSN 0043-1397, 10/2019, Volume 55, Issue 10, pp. 7964 - 7982
The process of burial and exhumation of bedload particles within a certain depth of the riverbed leads to vertical exchange of particles, which significantly... 
bedload transport | superdiffusion | advective slowdown | subdiffusion | COARSE PARTICLES | DISPERSION | SOLUTE | WATER RESOURCES | RIVER | ENVIRONMENTAL SCIENCES | ENTRAINMENT | MOTION | RANDOM-WALKS | MASTER EQUATION | PEBBLES | BED-LOAD TRANSPORT | LIMNOLOGY
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 09/2019, Volume 530, p. 121574
We consider a colloidal particle immersed in an active bath and derive a Smoluchowski equation that governs the dynamics of the colloidal particle. We address... 
Entropy production | Active noise | Superdiffusion | MECHANICS | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | SYSTEMS | DRIVEN
Journal Article
Monthly Notices of the Royal Astronomical Society, ISSN 0035-8711, 07/2016, Volume 459, Issue 3, pp. 3395 - 3406
The transport of energetic particles in the presence of magnetic turbulence is an important but unsolved problem of space physics and astrophysics. Here, we... 
Methods: Numerical | Diffusion | Magnetic fields | Solar wind | diffusion | magnetic fields | ELECTRONS | FIELD | COMPOUND | MODEL | methods: numerical | solar wind | DIFFUSIVE SHOCK ACCELERATION | CHARGED-PARTICLES | ASTRONOMY & ASTROPHYSICS | COEFFICIENTS | PERPENDICULAR DIFFUSION | SUPERDIFFUSION | COSMIC-RAYS
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 11/2001, Volume 64, Issue 5, pp. 056134/1 - 056134/5
We study the dynamics of a system of N classical spins with infinite-range interaction. We show that, if the thermodynamic limit is taken before the... 
TRANSITION | STATISTICAL-MECHANICS | HEAT | PHYSICS, FLUIDS & PLASMAS | RELAXATION | ROTATORS | PHYSICS | SUPERDIFFUSION | PHYSICS, MATHEMATICAL | CHAOTIC DYNAMICS
Journal Article
Computer Physics Communications, ISSN 0010-4655, 12/2017, Volume 221, pp. 235 - 245
We consider the problem of numerically solving the Schrödinger equation with a potential that is quasi periodic in space and time. We introduce a numerical... 
Time dependent potentials | Multiscale averaging | Numerical solution | TRANSPORT | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INSTABILITY | TIME | ANDERSON LOCALIZATION | QUANTUM SUPERDIFFUSION | PHYSICS, MATHEMATICAL
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 09/2012, Volume 86, Issue 3, p. 030103
The growth of the average kinetic energy of classical particles is studied for potentials that are random both in space and time. Such potentials are relevant... 
QUANTUM SUPERDIFFUSION | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS
Journal Article
Ecological Complexity, ISSN 1476-945X, 12/2018, Volume 36, pp. 168 - 183
We describe spreading of diseases in geographical space via superdiffusion. Nowadays people travel a lot over wide distances and therefore the spread of the... 
Superdiffusion | Fourier representation | Epidemic models | Stochastic processes | Fractional calculus | ECOLOGY | Epidemics | Disease transmission | Epidemiology | Analysis
Journal Article