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Proceedings Paper

Critical exponents for escape of a driven particle near a bifurcation point
Author(s): Mark I. Dykman; Brage Golding; Dmitrii Ryvkine
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Paper Abstract

We study the rate of activated escape W in periodically modulated systems close to the saddle-node bifurcation point where the metastable state disappears. The escape rate displays scaling behavior versus modulation amplitude A as A approaches the bifurcational value Ac, with 1nW ∝(Ac-A)μ. For adiabatic modulation, the critical exponent is μ=3/2. Even if the modulation is slow far from the bifurcation point, the adiabatic approximation breaks down close to Ac. In the weakly nonadiabatic regime we predict a crossover to μ = 2 scaling. For higher driving frequencies, as Ac is approached there occurs another crossover, from Αμ=2 to μ=3/2. The general results are illustrated using a simple model system.

Paper Details

Date Published: 7 May 2003
PDF: 10 pages
Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); doi: 10.1117/12.497700
Show Author Affiliations
Mark I. Dykman, Michigan State Univ. (United States)
Brage Golding, Michigan State Univ. (United States)
Dmitrii Ryvkine, Michigan State Univ. (United States)

Published in SPIE Proceedings Vol. 5114:
Noise in Complex Systems and Stochastic Dynamics
Lutz Schimansky-Geier; Derek Abbott; Alexander Neiman; Christian Van den Broeck, Editor(s)

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