Narrow Escape of Interacting Diffusing Particles

Tal Agranov and Baruch Meerson
Phys. Rev. Lett. 120, 120601 – Published 19 March 2018

Abstract

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.

  • Figure
  • Figure
  • Received 6 November 2017

DOI:https://doi.org/10.1103/PhysRevLett.120.120601

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Tal Agranov* and Baruch Meerson

  • Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel

  • *tal.agranov@mail.huji.ac.il
  • meerson@mail.huji.ac.il

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Issue

Vol. 120, Iss. 12 — 23 March 2018

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