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Journal Articles The Journal of Chemical Physics Year : 2017

Transition path time distributions

Michiel Laleman
  • Function : Author
E. Carlon
  • Function : Author

Abstract

Biomolecular folding, at least in simple systems, can be described as a two state transition in a free energy landscape with two deep wells separated by a high barrier. Transition paths are the short part of the trajectories that cross the barrier. Average transition path times and, recently, their full probability distribution have been measured for several biomolecular systems, e.g., in the folding of nucleic acids or proteins. Motivated by these experiments, we have calculated the full transition path time distribution for a single stochastic particle crossing a parabolic barrier, including inertial terms which were neglected in previous studies. These terms influence the short time scale dynamics of a stochastic system and can be of experimental relevance in view of the short duration of transition paths. We derive the full transition path time distribution as well as the average transition path times and discuss the similarities and differences with the high friction limit.
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Dates and versions

cea-02924483 , version 1 (28-08-2020)

Identifiers

  • HAL Id : cea-02924483 , version 1

Cite

Michiel Laleman, E. Carlon, Henri Orland. Transition path time distributions. The Journal of Chemical Physics, 2017. ⟨cea-02924483⟩
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