ArticleThe journal of physical chemistry. B2019
Exact Solutions for Distributions of First-Passage, Direct-Transit, and Looping Times in Symmetric Cusp Potential Barriers and Wells.
Article in The journal of physical chemistry. B, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed, 17 citations in OpenAlex.
- Particle dynamics in biconical cavities: First-passage, direct-transit, and looping time distributions.The Journal of chemical physics · 2025Article
- The significance of fuzzy boundaries of the barrier regions in single-molecule measurements of failed barrier crossing attempts.The Journal of chemical physics · 2024Article
- Article
- The Effect of Time Resolution on Apparent Transition Path Times Observed in Single-Molecule Studies of Biomolecules.The journal of physical chemistry. B · 2022Article
- Broad distributions of transition-path times are fingerprints of multidimensionality of the underlying free energy landscapes.Proceedings of the National Academy of Sciences of the United States of America · 2020Article
- Peculiarities of the Mean Transition Path Time Dependence on the Barrier Height in Entropy Potentials.The journal of physical chemistry. B · 2020Article
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Authors and funding
3 authors at 2 institutions in 2 countries.
Funding
Abstract
For a particle diffusing in one dimension, the distribution of its first-passage time from point a to point b is determined by the durations of the particle trajectories that start from point a and are terminated as soon as they touch point b for the first time. Any such trajectory consists of looping and direct-transit segments. The latter is the final part of the trajectory that leaves point a and goes to point b without returning to point a. The rest of the trajectory is the looping segment that makes numerous loops which begin and end at the same point a without touching point b. In this article we discuss general relations between the first-passage time distribution and those for the durations of the two segments. These general relations allow us to find exact solutions for the Laplace transforms of the distributions of the first-passage, direct-transit, and looping times for transitions between two points separated by a symmetric cusp potential barrier or well of arbitrary height and depth, respectively. The obtained Laplace transforms are inverted numerically, leading to nontrivial dependences of the resulting distributions on the barrier height and the well depth.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.