Rigorous results for mean first-passage time of harmonically trapped particle
General Physics
2025-07-10 v2
Abstract
The Ornstein-Uhlenbeck process of diffusion in the harmonic potential is re-examined in the context of the first-passage time problem. We investigate this problem to the extent that it has not yet been fully resolved and demonstrate exact novel results. They mainly concern the mean first-passage time for a particle diffusing downward and upward in the harmonic potential. We verify the main results of this paper by using a number of analytical techniques.
Keywords
Cite
@article{arxiv.2412.03165,
title = {Rigorous results for mean first-passage time of harmonically trapped particle},
author = {Przemyslaw Chelminiak},
journal= {arXiv preprint arXiv:2412.03165},
year = {2025}
}
Comments
17 pages, 7 figures