Berlin 2008 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 4: Brownian motion and transport
DY 4.8: Talk
Monday, February 25, 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/ω1−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).