# Confinement-Driven Acceleration of First-Passage Rates

Source: [Confinement-Driven Acceleration of First-Passage Rates](<https://www.sota2.com/research/paper/68fa49051e209131ce933f62>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T07:07:34.071Z

Authors: Won Kyu Kim

Published: 2025-01-15T04:33:41.000Z

## Abstract

We demonstrate that confinement geometry can act as a rectifier in passive diffusion, optimally accelerating first-passage rates beyond free diffusion. Using analytic theory based on the Fick-Jacobs approach and Brownian dynamics simulations, we find nonmonotonic mean first-passage rates driven by entropy. Through the transmission probability, our findings highlight how confinement optimizes transport dynamics in trap-and-escape processes, with implications for molecular translocation and reaction kinetics in soft matter and biological systems.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2501.08571>)

[PDF](<https://arxiv.org/pdf/2501.08571.pdf>)