443 citations · 4.1k across the 95 of their papers we have counts for
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Adiabatic elimination of inertia of the stochastic microswimmer driven by stable noise
Joerg Noetel, Igor M. Sokolov, Lutz Schimansky-Geier
We consider a microswimmer that moves in two dimensions at a constant speed and changes the direction of its motion due to a torque consisting of a constant and a fluctuating compo…
The effect of the junction model on the anomalous diffusion in the 3D comb structure
A. R. Dzhanoev, I. M. Sokolov
The diffusion in the comb structures is a popular model of geometrically induced anomalous diffusion. In the present work we concentrate on the diffusion along the backbone in a sy…
Transport in the cat's eye flow on intermediate time scales
Patrick Pöschke, Igor M. Sokolov, Michael A. Zaks +1
We consider the advection-diffusion transport of tracers in a one-parameter family of plane periodic flows where the patterns of streamlines feature regions of confined circulation…
Eliminating Inertia in a Stochastic Model of a Micro-Swimmer with Constant Speed
S. Milster, J. Noetel, I. M. Sokolov +1
We are concerned with the dynamical description of the motion of a stochastic micro-swimmer with constant speed and fluctuating orientation in the long time limit by adiabatic elim…
Underdamped stochastic harmonic oscillator
Bartlomiej Dybiec, Ewa Gudowska-Nowak, Igor M. Sokolov
We investigate stationary states of the linear damped stochastic oscillator driven by Lévy noises. In the long time limit kinetic and potential energies of the oscillator do not fu…
Anomalous diffusion in run-and-tumble motion
Felix Thiel, Lutz Schimansky-Geier, Igor M. Sokolov
A random walk scheme, consisting of alternating phases of regular Brownian motion and Lévy walks, is proposed as a model for run-and-tumble bacterial motion. Within the continuous-…