Anomalous escape governed by thermal 1/f noise

I. Goychuk; P. Hanggi

doi:10.1103/physrevlett.99.200601

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arXiv · 0705.3718

Anomalous escape governed by thermal 1/f noise

I. Goychuk·P. Hanggi

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Abstract

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 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.

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I. Goychuk, P. Hanggi. 2007-10-17. Anomalous escape governed by thermal 1/f noise. https://doi.org/10.1103/physrevlett.99.200601

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