Berlin 2015 – scientific programme

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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 5: Anomalous Diffusion (joint session DY, CPP)

CPP 5.3: Talk

Monday, March 16, 2015, 10:00–10:15, BH-N 334

Nonergodicity in scaled Brownian motion — •Felix Thiel and Igor M. Sokolov — Institut für Physik der Humboldt Universität zu Berlin: Newtonstraße 15, 12489 Berlin, Deutschland

Scaled Brownian motion (sBm) is a random process described by a diffusion equation with explicitly time-dependent diffusion coefficient (Batchelor's equation), which is often used for fitting experimental data for subdiffusion of unclear genesis. We show that it describes the rescaled mean position of a cloud of independent continuous time random walkers. Like the latter, sBm is neither stationary nor ergodic. Unlike continuous time random walks, the nonergodicity of sBm is not accompanied by a strong difference between its different realizations: its heterogeneity ("ergodicity breaking") parameter tends to zero for long trajectories.