Berlin 2018 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 34: Nonlinear Stochastic Systems

DY 34.1: Vortrag

Dienstag, 13. März 2018, 14:00–14:15, BH-N 333

Nonequilibrium dynamics of piecewise-smooth stochastic systems — •Paul Geffert and Wolfram Just — School of Mathematical Sciences, Queen Mary University of London, United Kingdom

Piecewise-smooth systems have attracted a lot of interest in the last decade; deterministic models were studied quite intensely, but the stochastic counterpart is still in its infancy.

We study the dynamics of a simple Langevin equation with dry friction subjected to coloured noise. By applying suitable approximation schemes, we obtain analytical expressions for the stationary density and the probability of sticking. Our results show very good agreement with numerical simulations. Furthermore we explore dynamical properties of the system e.g. the spectral density.

Our analysis indicates that the observed stick-slip transitions can be linked with a "critical" value of the noise correlation time.