English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We derive an analytical expression for the transition path time (TPT)distribution for a one-dimensional particle crossing a parabolic barrier. Thesolution is expressed in terms of the eigenfunctions and eigenvalues of theassociated Fokker-Planck equation. The particle performs an anomalous dynamicsgenerated by a power-law memory kernel, which includes memoryless Markoviandynamics as a limiting case. Our result takes into account absorbing boundaryconditions, extending existing results obtained for free boundaries. We showthat TPT distributions obtained from numerical simulations are in excellentagreement with analytical results, while the typically employed free boundaryconditions lead to a systematic overestimation of the barrier height. Thesefindings may be useful in the analysis of experimental results on transitionpath times. A web tool to perform this analysis is freely available.

The influence of absorbing boundary conditions on the transition path times statistics