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DY: Fachverband Dynamik und Statistische Physik

DY 45: Brownian Motion and Anomalous Transport - organized by Ralf Metzler (Potsdam)

DY 45.5: Talk

Wednesday, March 24, 2021, 15:30–15:50, DYc

Diffusion and random search in (in)homogeneous media — •Trifce Sandev^1,2 and Ralf Metzler¹ — ¹University of Potsdam — ²Macedonian Academy of Sciences and Arts

Different approaches to diffusion in both homogeneous and heterogeneous media will be discussed. Such processes often become anomalous due to the geometric constraints, random potential effects or variations of the diffusion coefficients. Such problems of heterogeneous diffusion might be closely related to inhomogeneous advection-diffusion processes and geometric Brownian motion used to analyze stock prices in financial markets in the Black-Scholes model. The search strategies of many animals follow similar laws but they often return to their nest or resting place, after some (random) search time. We will give results on the first passage and first hitting times for different random search processes with and without external forces for which we will show that introduction of stochastic resetting in such systems leads to various interesting realizations. The investigation of resetting mechanism in aforementioned systems may also be important for description of experiments of random motion with resetting using optical trap techniques, or economic models of income dynamics.