Dresden 2020 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 56: Poster: Glasses; Granular Matter; Brownian Motion and Anomalous Diffusion
DY 56.6: Poster
Thursday, March 19, 2020, 15:00–18:00, P1A
Diffusion in combs with stochastic resetting — •Viktor Domazetoski1, Axel Masó-Puigdellosas2, Trifce Sandev1,3,4, Vicenç Méndez2, Alexander Iomin5, and Ljupco Kocarev1,4 — 1Macedonian Academy of Sciences and Arts — 2Universitat Autónoma de Barcelona — 3University of Potsdam — 4Ss. Cyril and Methodius University in Skopje — 5Technion, Haifa
Diffusion on a three dimensional xyz–comb is analyzed. Three different types of resetting are considered. These are: (i) global resetting to the initial position, (ii) resetting to the x–backbone, and (iii) resetting to the main y–fingers. Analyzing the probability density functions, their stationary distributions and the mean squared displacements, we observe different transient dynamics along the backbone in all three cases of the resetting mechanisms. The main conclusions from the analysis are as follows. The global resetting breaks the transport in all three directions, while the resetting to the backbone breaks the transport in two (y and z) directions but enhances the transport in the main x–axis. Moreover, the resetting to the z–fingers enhances the transport in the backbone and the main y–fingers, while the transport along the z–fingers is localized, when the mean squared displacement reaches a steady value. The analytical results are confirmed by numerical simulations in the framework of coupled Langevin equations for the comb structure.