Dresden 2026 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Poster: Statistical Physics

DY 43.24: Poster

Wednesday, March 11, 2026, 15:00–18:00, P5

Shear-driven diffusion process and its generalizations — •Trifce Sandev — Macedonian Academy of Sciences and Arts, Skopje, Macedonia — Ss. Cyril and Methodius University in Skopje, Macedonia — Korea University, Seoul, Korea

We consider different generalizations of the shear-driven diffusion process, which represents a two-dimensional Brownian motion in presence of a linear shear flow. One possible generalization is the shear-driven anomalous diffusion motion which occurs due to the long-tailed waiting time of the particle, effect described by a two-dimensional Fokker-Planck equation with memory kernel. Another possible generalization is the shear-driven finite-velocity diffusion, that is a shear-driven motion, but now, at random times, the walker changes its direction to the opposite one. The corresponding process can be described by a two-dimensional telegrapher’s-like equation. We also explore the corresponding processes under stochastic resetting and find that the systems reach non-equilibrium stationary states in the long time limit that also result in saturation of the evolution of the corresponding mean squared displacement, variance, skewness and kurtosis.

Keywords: shear-driven diffusion; telegrapher's process; anomalous dynamics; stochastic resetting