**Milestoning with wind: Exploring the impact of a biasing potential in
exact calculation of kinetics**

H Wang and R Elber, JOURNAL OF CHEMICAL PHYSICS, 152 (2020).

DOI: 10.1063/5.0011050

We consider the algorithm wind-assisted reweighted Milestoning of
Grazioli and Andricioaei **J. Chem. Phys 149(8), 084103 (2018)**, expand
it, and assess its performance. We derive exact expressions for
underdamped and overdamped Langevin dynamics and examine its efficiency
for a simple model system (Mueller's potential) and for bond breaking in
solution. The use of a biasing force (wind) significantly enhances the
sampling of otherwise rare trajectories but also introduces an
exponential weight to the trajectories that significantly impact the
value of the statistics. In our examples, computing averages and
standard deviations are not better using wind compared to
straightforward Milestoning. However, the biasing force is useful for
highly steep energy landscapes. On these landscapes, the probability of
sampling straightforward Milestoning trajectories, which overcome the
barrier, is low and the biasing force enables the observations of these
rare events.

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