Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 4: Brownian motion and transport

DY 4.8: Vortrag

Montag, 25. Februar 2008, 16:00–16:15, MA 004

Anomalous escape kinetics due to thermal 1/f noise — •Igor Goychuk and Peter Hänggi — Institut für Physik, Universität Augsburg, Germany

We present an analytic study for subdiffusive escape of overdamped particles out of a cusp-shaped parabolic potential well which are driven by thermal, fractional Gaussian noise with a 1/ω^1−α power spectrum. This long-standing challenge becomes mathematically tractable by use of a generalized Langevin dynamics via its corresponding non-Markovian, time-convolutionless master equation: We find [1] that the escape is governed asymptotically by a power law whose exponent depends exponentially on the ratio of barrier height and temperature. This result is in distinct contrast to a description with a corresponding subdiffusive fractional Fokker-Planck approach; thus providing experimentalists an amenable testbed to differentiate between the two escape scenarios.
[1]I. Goychuk and P. Hänggi, Phys. Rev. Lett. 99, 200601 (2007).