Anomalous diffusion and lévy flights in a two-dimensional time periodic flow

2005 ◽  
Vol 8 (3) ◽  
pp. 253-260
Author(s):  
S. Espa ◽  
A. Cenedese
Keyword(s):  
Anomalous Diffusion ◽  
Periodic Flow ◽  
Two Dimensional ◽  
Lévy Flights ◽  
Levy Flights ◽  
Time Periodic

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

1993 ◽  
Vol 71 (24) ◽  
pp. 3975-3978 ◽  
Author(s):  
T. H. Solomon ◽  
Eric R. Weeks ◽  
Harry L. Swinney
Keyword(s):  
Anomalous Diffusion ◽  
Rotating Flow ◽  
Two Dimensional ◽  
Lévy Flights ◽  
Levy Flights

Anomalous diffusion and Lévy flights in channeling

2004 ◽  
Vol 324 (1) ◽  
pp. 82-85 ◽  
Author(s):  
A.A Greenenko ◽  
A.V Chechkin ◽  
N.F Shul'ga
Keyword(s):  
Anomalous Diffusion ◽  
Lévy Flights ◽  
Levy Flights

scholarly journals Fronts in anomalous diffusion–reaction systems

2013 ◽  
Vol 371 (1982) ◽  
pp. 20120179 ◽  
Author(s):  
V. A. Volpert ◽  
Y. Nec ◽  
A. A. Nepomnyashchy
Keyword(s):  
Anomalous Diffusion ◽  
Diffusion Reaction ◽  
Lévy Flights ◽  
Reaction Systems ◽  
Unstable Phase ◽  
Levy Flights ◽  
Recent Developments ◽  
Front Dynamics

A review of recent developments in the field of front dynamics in anomalous diffusion–reaction systems is presented. Both fronts between stable phases and those propagating into an unstable phase are considered. A number of models of anomalous diffusion with reaction are discussed, including models with Lévy flights, truncated Lévy flights, subdiffusion-limited reactions and models with intertwined subdiffusion and reaction operators.

scholarly journals Lévy flights and anomalous diffusion in the stratosphere

2000 ◽  
Vol 105 (D10) ◽  
pp. 12295-12302 ◽  
Author(s):  
Kyong-Hwan Seo ◽  
Kenneth P. Bowman
Keyword(s):  
Anomalous Diffusion ◽  
Lévy Flights ◽  
Levy Flights

scholarly journals Coherent structures and chaotic advection in three dimensions

2010 ◽  
Vol 654 ◽  
pp. 1-4 ◽  
Author(s):  
STEPHEN WIGGINS
Keyword(s):  
Dynamical Systems ◽  
Fluid Mechanics ◽  
Coherent Structures ◽  
Three Dimensional ◽  
Point Of View ◽  
Three Dimensions ◽  
Chaotic Advection ◽  
Periodic Flow ◽  
Two Dimensional ◽  
Time Periodic

In the 1980s the incorporation of ideas from dynamical systems theory into theoretical fluid mechanics, reinforced by elegant experiments, fundamentally changed the way in which we view and analyse Lagrangian transport. The majority of work along these lines was restricted to two-dimensional flows and the generalization of the dynamical systems point of view to fully three-dimensional flows has seen less progress. This situation may now change with the work of Pouransari et al. (J. Fluid Mech., this issue, vol. 654, 2010, pp. 5–34) who study transport in a three-dimensional time-periodic flow and show that completely new types of dynamical systems structures and consequently, coherent structures, form a geometrical template governing transport.

scholarly journals Two-dimensional nonlinear map characterized by tunable Lévy flights

2014 ◽  
Vol 90 (4) ◽  
Author(s):  
J. A. Méndez-Bermúdez ◽  
Juliano A. de Oliveira ◽  
Edson D. Leonel
Keyword(s):  
Two Dimensional ◽  
Lévy Flights ◽  
Levy Flights

scholarly journals Relaxation of optically excited carriers in graphene: Anomalous diffusion and Lévy flights

2014 ◽  
Vol 89 (7) ◽  
Author(s):  
U. Briskot ◽  
I. A. Dmitriev ◽  
A. D. Mirlin
Keyword(s):  
Anomalous Diffusion ◽  
Lévy Flights ◽  
Levy Flights

scholarly journals Thermalization of Lévy Flights: Path-Wise Picture in 2D

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Mariusz Żaba ◽  
Piotr Garbaczewski
Keyword(s):  
Random Systems ◽  
A Priori ◽  
Dynamical Behavior ◽  
Random Motion ◽  
Gillespie Algorithm ◽  
Two Dimensional ◽  
Lévy Measure ◽  
Lévy Flights ◽  
Levy Flights ◽  
Stable Noise

We analyze two-dimensional (2D) random systems driven by a symmetric Lévy stable noise which in the presence of confining potentials may asymptotically set down at Boltzmann-type thermal equilibria. In view of the Eliazar-Klafter no-go statement, such dynamical behavior is plainly incompatible with the standard Langevin modeling of Lévy flights. No explicit path-wise description has been so far devised for the thermally equilibrating random motion we address, and its formulation is the principal goal of the present work. To this end we prescribe a priori the target pdf ρ∗ in the Boltzmann form ~exp[] and next select the Lévy noise (e.g., its Lévy measure) of interest. To reconstruct random paths of the underlying stochastic process we resort to numerical methods. We create a suitably modified version of the time honored Gillespie algorithm, originally invented in the chemical kinetics context. A statistical analysis of generated sample trajectories allows us to infer a surrogate pdf dynamics which sets down at a predefined target, in consistency with the associated kinetic (master) equation.

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