Transition-Event Durations in One Dimensional Activated Processes

TL;DR

This paper investigates the distribution of transition-event durations in one-dimensional activated processes, providing a theoretical framework for understanding these short-lived events in over-damped Langevin systems.

Contribution

It offers a novel theoretical analysis of transition-event durations, filling a gap in the understanding of activated process dynamics.

Findings

Derived the distribution of transition-event durations.

Provided insights into the short timescale behavior of activated processes.

Enhanced theoretical understanding of barrier-crossing events.

Abstract

Despite their importance in activated processes, transition-event durations -- which are much shorter than first passage times -- have not received a complete theoretical treatment. We therefore study the distribution of durations of transition events over a barrier in a one-dimensional system undergoing over-damped Langevin dynamics.