Scaling in activated escape of underdamped systems
Mesoscale and Nanoscale Physics
2009-11-11 v1 Statistical Mechanics
Abstract
Noise-induced escape from a metastable state of a dynamical system is studied close to a saddle-node bifurcation point, but in the region where the system remains underdamped. The activation energy of escape scales as a power of the distance to the bifurcation point. We find two types of scaling and the corresponding critical exponents.
Keywords
Cite
@article{arxiv.cond-mat/0505260,
title = {Scaling in activated escape of underdamped systems},
author = {M. I. Dykman and I. B. Schwartz and M. Shapiro},
journal= {arXiv preprint arXiv:cond-mat/0505260},
year = {2009}
}
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9 pages