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DY: Fachverband Dynamik und Statistische Physik
DY 60: Anomalous Diffusion (joint session DY/BP)
DY 60.10: Talk
Thursday, March 15, 2018, 12:30–12:45, BH-N 334
Scaled Brownian motion with resetting — •Anna Bodrova1, Alexei Chechkin2,3, and Igor Sokolov1 — 1Humboldt University, Department of Physics, Newtonstrasse 15, 12489 Berlin, Germany — 2Institute of Physics and Astronomy, University of Potsdam, 14476 Potsdam, Germany — 3Akhiezer Institute for Theoretical Physics, Kharkov Institute of Physics and Technology, Kharkov 61108, Ukraine
In the intermittent stochastic processes the dynamics of the system may be interrupted and recommenced at random times from the initial condition. Examples of such processes are found in many fields such as chemistry, biology, ecology and computer science. The time between resetting events may be distributed according to the exponential law or according to the power law. It may be shown that random resetting fundamentally changes the properties of the diffusion process. In the presence of resetting there is a competition between the tendency of diffusive spreading and confinement around the initial state. In our study during the resetting events the particle performs scaled Brownian motion: diffusive motion with time-dependent diffusion coefficient. We calculate mean-squared displacement and probability density function as main characteristics of this process.