Narrow Escape of Interacting Diffusing Particles

Tal Agranov, Baruch Meerson

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


The narrow escape problem deals with the calculation of the mean escape time (MET) of a Brownian particle from a bounded domain through a small hole on the domain's boundary. Here we develop a formalism which allows us to evaluate the nonescape probability of a gas of diffusing particles that may interact with each other. In some cases the nonescape probability allows us to evaluate the MET of the first particle. The formalism is based on the fluctuating hydrodynamics and the recently developed macroscopic fluctuation theory. We also uncover an unexpected connection between the narrow escape of interacting particles and thermal runaway in chemical reactors.

Original languageAmerican English
Article number120601
JournalPhysical Review Letters
Issue number12
StatePublished - 19 Mar 2018

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© 2018 American Physical Society.


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