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Power laws and stretched exponentials in a noisy finite-time-singularity model

Hans C. Fogedby·Vakhtang Poutkaradze
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Abstract

We discuss the influence of white noise on a generic dynamical finite-time-singularity model for a single degree of freedom. We find that the noise effectively resolves the finite-time-singularity and replaces it by a first-passage-time or absorbing state distribution with a peak at the singularity and a long time tail exhibiting power law or stretched exponential behavior. The study might be of relevance in the context of hydrodynamics on a nanometer scale, in material physics, and in biophysics.

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BibTeXRIS

Hans C. Fogedby, Vakhtang Poutkaradze. 2002-05-08. Power laws and stretched exponentials in a noisy finite-time-singularity model. https://doi.org/10.1103/physreve.66.021103

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