4 research outputs found
Power laws and stretched exponentials in a noisy finite-time-singularity model
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.Comment: 10 pages revtex file, including 4 postscript-figures. References
added and a few typos correcte