# On the length of one-dimensional reactive paths

@inproceedings{Crou2012OnTL, title={On the length of one-dimensional reactive paths}, author={Fr{\'e}d{\'e}ric C{\'e}rou and Arnaud Guyader and Tony Leli{\`e}vre and Florent Malrieu}, year={2012} }

Motivated by some numerical observations on molecular dynamics simulations, we analyze metastable trajectories in a very simplecsetting, namely paths generated by a one-dimensional overdamped Langevin equation for a double well potential. More precisely, we are interested in so-called reactive paths, namely trajectories which leave definitely one well and reach the other one. The aim of this paper is to precisely analyze the distribution of the lengths of reactive paths in the limit of small… CONTINUE READING

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