Berlin 2018 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 32: Anomalous Diffusion (joint session DY/BP)
BP 32.7: Vortrag
Donnerstag, 15. März 2018, 11:45–12:00, BH-N 334
Tempered dynamics from fractional Brownian motion and generalized Langevin equation: Application to lipid molecule diffusion — •Trifce Sandev1,2,3, Daniel Molina-Garcia4,5, Gianni Pagnini4, Aleksei Chechkin5, and Ralf Metzler5 — 1Ss. Cyril and Methodius University in Skopje, Macedonia — 2RSD, Skopje, Macedonia — 3MANU, Skopje, Macedonia — 4BCAM - Basque Center for Applied Mathematics, Bilbao, Basque Country, Spain — 5University of Potsdam, Germany
Anomalous diffusion is widely observed in many systems. Often, the system shows a crossover from initial anomalous diffusion to terminal normal diffusion. We consider tempered versions of the fractional Brownian motion and the generalized Langevin equation (GLE) to describe this crossover dynamics. For persistent input noise, the former describes the case when an initially superdiffusive particle switches to normal diffusive behavior, while the latter exhibits a subdiffusive to normal diffusive crossover. Both models are characterized by power-law correlations of the driving noise, i.e., tempered fractional Gaussian noise, which is a noise with Gaussian amplitude and power-law correlations with a cutoff at some mesoscopic time scale. In both models we employed either hard (exponential) or soft (power-law) truncation. We show excellent agreement of the analytical results for the mean squared displacement obtained from the GLE with those obtained for the lipid dynamics in simulated model membranes [1].
[1] D. Molina-Garcia, T. Sandev, G. Pagnini, A. Chechkin, and R. Metzler, in preparation.