2002/12/05 by J. Lehmann, Jörg Lehmann, Peter Reimann +3 · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Control theory (sociology) #Inertia #Particle (ecology) #Piecewise #Piecewise linear function #Quantum chaos and dynamical systems #Thermal #Thermal inertia #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1002/pssb.200301774
published as Phys. Stat. Sol. (b) 237, 53 (2003) · 19 pages, 6 figures, RevTeX4
arxiv created 2002/12/05 · openalex publication_date 2003/04/24 · arxiv updated 2015/06/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Abstract We present a novel path‐integral method for the determination of time‐dependent and time‐averaged reaction rates in multidimensional, periodically driven escape problems at weak thermal noise. The so obtained general expressions are evaluated explicitly for the situation of a sinusoidally driven, damped particle with inertia moving in a metastable, piecewise parabolic potential. A comparison with data from Monte‐Carlo simulations yields a very good agreement with our analytic results over a wide parameter range.