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DY: Fachverband Dynamik und Statistische Physik
DY 26: Brownian Motion, Transport and Anomalous Diffusion
DY 26.3: Vortrag
Dienstag, 17. März 2020, 10:30–10:45, HÜL 186
Heterogeneous diffusion with(out) stochastic resetting — •Trifce Sandev1,2,3, Viktor Domazetoski1, Aleksei Chechkin2,4, Ljupco Kocarev1,3, and Ralf Metzler2 — 1Macedonian Academy of Sciences and Arts — 2University of Potsdam — 3Ss. Cyril and Methodius University in Skopje — 4Akhiezer Institute for Theoretical Physics, Kharkov
We analyze diffusion processes with finite propagation speed in heterogeneous media in terms of the telegrapher's or Cattaneo equation with position-dependent diffusion coefficient. In the diffusion limit of infinite-velocity propagation we recover the results for diffusion equations with position-dependent diffusivity. We observe various diffusive regimes including hyperdiffusion, ballistic motion, superdiffusion, normal diffusion and subdiffusion. We further consider heterogeneous diffusion process under stochastic resetting. We find exact results for the mean squared displacement and the probability density function for three different stochastic interpretations of the multiplicative process. The stationary distributions reached in the long time limit are derived as well. The obtained results are verified by numerical simulations employing the Langevin equation with position dependent diffusivity in different stochastic calculi.