Surmounting Oscillating Barriers

Abstract

Thermally activated escape over a potential barrier in the presence of periodic driving is considered. By means of novel time-dependent path-integral methods we derive asymptotically exact weak-noise expressions for both the instantaneous and the time-averaged escape rate. The agreement with accurate numerical results is excellent over a wide range of driving strengths and driving frequencies.

4 pages, 4 figures

References in corpus (2)

• Asymptotic Exit Location Distributions in the Stochastic Exit Problem
• The Use of Hamiltonian Mechanics in Systems Driven by Colored Noise

Cited by in corpus (51)

• Brownian motors: noisy transport far from equilibrium
• Noise-enhanced stability of periodically driven metastable states
• Noise Enhanced Stability in Fluctuating Metastable States
• Strong friction limit in quantum mechanics: the Quantum Smoluchowski equation
• Noise activated switching in a driven, nonlinear micromechanical oscillator
• Enhancement of stability in randomly switching potential with metastable state
• Noise-Activated Escape from a Sloshing Potential Well
• Activation barrier scaling and crossover for noise-induced switching in a micromechanical parametric oscillator
• Surmounting Oscillating Barriers: Path-integral approach for Weak Noise
• Two-state theory of nonlinear Stochastic Resonance
• Resonant activation in a nonadiabatically driven optical lattice
• Activated escape of periodically driven systems
• Statistics of transition times, phase diffusion and synchronization in periodically driven bistable systems
• Rate description of Fokker-Planck processes with time dependent parameters
• Moments of the first passage time under external driving
• Switching Time Statistics for Driven Neuron Models: Analytic Expressions versus Numerics
• Quantum Kramers' equation for energy diffusion and barrier crossing dynamics in the low friction regime
• Supernarrow spectral peaks near a kinetic phase transition in a driven, nonlinear micromechanical oscillator
• Partial synchronisation of stochastic oscillators through hydrodynamic coupling
• Chemical reactions induced by oscillating external fields in weak thermal environments
• Activated escape over oscillating barriers: The case of many dimensions
• Escape rates in periodically driven Markov processes
• Universality of residence-time distributions in non-adiabatic stochastic resonance
• Transition state trajectory stability determines barrier crossing rates in chemical reactions induced by time-dependent oscillating fields
• Activated escape of periodically modulated systems
• Out-of-plane and in-plane actuation effects on atomic-scale friction
• Rapidly driven nanoparticles: Mean first-passage times and relaxation of the magnetic moment
• Persistence of transition state structure in chemical reactions driven by fields oscillating in time
• Poisson-noise induced escape from a metastable state
• Switching path distribution in multi-dimensional systems
• Chemical Reaction Dynamics within Anisotropic Solvents in Time-Dependent Fields
• Thermal ratchet effects in ferrofluids
• On the stability of satellites at unstable libration points of sun-planet-moon systems
• Quantum decay rates for driven barrier potentials in the strong friction limit
• Rate description of Fokker-Planck processes with time-periodic parameters
• Quantum Smoluchowski equation: Escape from a metastable state
• Dynamical contribution into enzyme catalytic efficiency
• Scaling and crossovers in activated escape near a bifurcation point
• Mean first-passage times for an ac-driven magnetic moment of a nanoparticle
• Pathways of activated escape in periodically modulated systems
• Evaluation of transition rates from nonequilibrium instantons
• Fast Monte Carlo simulations and singularities in the probability distributions of non-equilibrium systems
• Surmounting collectively oscillating bottlenecks
• Cooperative surmounting of bottlenecks
• Nonadiabatic escape and stochastic resonance
• Controlling mobility via rapidly oscillating time-periodic stimulus
• Suppression of thermally activated escape by heating
• Dynamics and decay rates of a time-dependent two-saddle system
• Approach to equilibrium in adiabatically evolving potentials
• Low frequency limit for thermally activated escape with periodic driving
• Dichotomous Markov noise: Exact results for out-of-equilibrium systems. A review