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Phys Rev E Stat Nonlin Soft Matter Phys
; 66(2 Pt 1): 021103, 2002 Aug.
Article
in English
| MEDLINE
| ID: mdl-12241146
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.