| Issue |
EPL
Volume 150, Number 5, June 2025
|
|
|---|---|---|
| Article Number | 51003 | |
| Number of page(s) | 6 | |
| Section | Statistical physics and networks | |
| DOI | https://doi.org/10.1209/0295-5075/adda75 | |
| Published online | 10 June 2025 | |
Transition-path probability depends non-monotonically on memory time for non-Markovian systems
Department of Physics, Freie Universität Berlin - 14195 Berlin, Germany
Received: 26 February 2025
Accepted: 19 May 2025
Defining low-dimensional reaction coordinates is crucial for analyzing the dynamics of complex systems and for comparison with experiments. The maximal value of the transition-path probability along the reaction coordinate 
, is a common estimator for reaction-coordinate quality by comparing to the theoretical maximal value of 1/2 in the overdamped Markovian limit. We show by analytical arguments and simulations that for non-Markovian dynamics 
is non-monotonic as a function of the memory time and exceeds 1/2 for long memory time. This disqualifies as a criterion for reaction coordinate quality.
© 2025 The author(s)
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