Saddle avoidance of noise-induced transitions in multiscale systems
In multistable dynamical systems driven by weak Gaussian noise, transitions between
competing states are often assumed to pass via a saddle on the separating basin boundary …
competing states are often assumed to pass via a saddle on the separating basin boundary …
Short-time Fokker-Planck propagator beyond the Gaussian approximation
J Kappler - arXiv preprint arXiv:2405.18381, 2024 - arxiv.org
We present a perturbation approach to calculate the short-time propagator, or transition
density, of the one-dimensional Fokker-Planck equation, to in principle arbitrary order in the …
density, of the one-dimensional Fokker-Planck equation, to in principle arbitrary order in the …
Inferring intermediate states by leveraging the many-body Arrhenius law
Metastable states appear as long-lived intermediate states in various natural transport
phenomena which are governed by energy landscapes. Moreover, they dominate a system's …
phenomena which are governed by energy landscapes. Moreover, they dominate a system's …