1999/11/22 by J. Lehmann, Jörg Lehmann, Peter Reimann +1 · 114 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Computer science #Materials science #Mechanics #Noise (video) #Path (computing) #Path integral formulation #Physics #Quantum mechanics #Range (aeronautics) #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physrevlett.84.1639
published in Physical Review Letters 84(8), 1639-1642 (American Physical Society) · 4 pages, 4 figures
arxiv created 1999/11/22 · openalex publication_date 2000/02/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.