Scaling in activated escape of underdamped systems.
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.
Dykman
M I
MI
Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.
Schwartz
I B
IB
Shapiro
M
M