Analytical solutions for an escape problem in a disc with an arbitrary distribution of exit holes along its boundary

DOI10.1007/s10955-016-1653-2zbMath1362.60073OpenAlexW2556365332MaRDI QIDQ523282

Yong-Cai Geng, Sumit K. Garg

Publication date: 20 April 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-016-1653-2

zbMATH Keywords

Brownian motionSchottky groupssuperhydrophobic surfacesescape problemmean first-passage timesplitting probabilitiesunidirectional flow

Mathematics Subject Classification ID

Brownian motion (60J65) Thin fluid films (76A20) Fundamental solutions to PDEs (35A08) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (2)

First-passage times of multiple diffusing particles with reversible target-binding kinetics ⋮ Preface: new trends in first-passage methods and applications in the life sciences and engineering

Uses Software

• SKPrime
• GitHub

Cites Work

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