Anomalous diffusion in a circular comb with external velocity field

2022 ◽  
Vol 155 ◽  
pp. 111742
Author(s):  
Kheder Suleiman ◽  
Qixuan Song ◽  
Xuelan Zhang ◽  
Shengna Liu ◽  
Liancun Zheng
Keyword(s):  
Velocity Field ◽  
Anomalous Diffusion

Anomalous behaviour of a passive tracer in wave turbulence

2002 ◽  
Vol 467 ◽  
pp. 163-203 ◽  
Author(s):  
ALEXANDER M. BALK
Keyword(s):  
Energy Spectrum ◽  
Velocity Field ◽  
Numerical Simulations ◽  
Power Law ◽  
Anomalous Diffusion ◽  
Wave Turbulence ◽  
Passive Tracer ◽  
Random Waves ◽  
Tracer Particles ◽  
Separation Of Scales

We consider the behaviour of a passive tracer in multiscale velocity field, when there is no separation of scales; the energy spectrum of the velocity field extends into the region of long waves and even can be singular there. We suppose that the velocity field is a superposition of random waves. The turbulence of various ocean or atmospheric waves provides examples. We find anomalous diffusion (sub- and super-diffusion), anomalous drift (super-drift), and anomalous spreading of a passive tracer cloud. For the latter we find the existence of two regimes: (i) ‘close’ passive tracer particles diverge sub- or supper-exponentially in time, and (ii) a ‘large’ passive tracer cloud spreads as a power-law in time. The exponents, as well as the corresponding pre-factors, are found. The theory is confirmed by numerical simulations.

Anomalous diffusion in a random velocity field

1992 ◽  
Vol 66 (1-2) ◽  
pp. 375-383 ◽  
Author(s):  
B. Gaveau ◽  
L. S. Schulman
Keyword(s):  
Velocity Field ◽  
Anomalous Diffusion ◽  
Random Velocity

Anomalous diffusion in presence of boundary conditions

1990 ◽  
Vol 51 (13) ◽  
pp. 1387-1402 ◽  
Author(s):  
A. Giacometti ◽  
A. Maritan
Keyword(s):  
Boundary Conditions ◽  
Anomalous Diffusion
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