Properties of resonant activation phenomena

Abstract

The phenomenon of resonant activation of a Brownian particle over a fluctuating barrier is revisited. We discuss the important distinctions between barriers that can fluctuate among "up" and "down" configurations, and barriers that are always "up" but that can fluctuate among different heights. A resonance as a function of the barrier fluctuation rate is found in both cases, but the nature and physical description of these resonances is quite distinct. The nature of the resonances, the physical basis for the resonant behavior, and the importance of boundary conditions are discussed in some detail. We obtain analytic expressions for the escape time over the barrier that explicitly capture the minima as a function of the barrier fluctuation rate, and show that our analytic results are in excellent agreement with numerical results.

33 pages of text, 9 figures

Cited by in corpus (25)

• Noise Enhanced Stability in Fluctuating Metastable States
• Co-occurrence of resonant activation and noise-enhanced stability in a model of cancer growth in the presence of immune response
• Experimental Investigation of Resonant Activation
• Resonant activation in the presence of non-equilibrated baths
• Langevin dynamics with dichotomous noise; direct simulation and applications
• AC-driven Vortices and the Hall Effect in a Superconductor with a Tilted Washboard Pinning Potential
• Influence of the Barrier Shape on Resonant Activation
• Detection of noise-corrupted sinusoidal signals with Josephson junctions
• Quantum escape kinetics over a fluctuating barrier
• Insight into Resonant Activation in Discrete Systems
• Vortex ratchet reversal in an asymmetric washboard pinning potential subject to combined dc and ac stimuli
• Translocation time of periodically forced polymer chains
• Resonant escape over an oscillating barrier in single-electron ratchet transfer
• Dynamics of a metastable state nonlinearly coupled to a heat bath driven by an external noise
• Escape process and stochastic resonance under noise-intensity fluctuation
• Stochastic resetting with refractory periods: pathway formulation and exact results
• Effects of static and temporally fluctuating tensions on semiflexible polymer looping
• Implication of Barrier Fluctuations on the Rate of Weakly Adiabatic Electron Transfer
• Resonant activation: a strategy against bacterial persistence
• Quantifying resonant activation like phenomenon in non-Markovian systems
• Activation process driven by strongly non-Gaussian noises
• Anomalous diffusion in disordered multi-channel systems
• Inhomogeneous quantum diffusion and decay of a meta-stable state
• Resonant activation in 2D and 3D systems driven by multi-variate Lévy noises
• Environmental Noise and Nonlinear Relaxation in Biological Systems