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arxiv: cond-mat/0505260 · v1 · submitted 2005-05-10 · ❄️ cond-mat.mes-hall · cond-mat.stat-mech

Scaling in activated escape of underdamped systems

classification ❄️ cond-mat.mes-hall cond-mat.stat-mech
keywords escapebifurcationpointscalingsystemunderdampedactivatedactivation
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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.

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