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.
Conference Committee Involvement (4)
Noise and Information in Nanoelectronics, Sensors, and Standards III
24 May 2005 | Austin, Texas, United States
Noise and Information in Nanoelectronics, Sensors, and Standards II
26 May 2004 | Maspalomas, Gran Canaria Island, Spain
Noise and Information in Nanoelectronics, Sensors, and Standards
2 June 2003 | Santa Fe, New Mexico, United States
Fluctuations and Noise in Photonics and Quantum Optics
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