Klettner, CA;
(2019)
Narrow escape problem for Brownian particles in a microsphere with internal circulation.
Physical Review E
, 100
(4)
, Article 043107. 10.1103/PhysRevE.100.043107.
(In press).
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Abstract
This paper considers the narrow escape problem of a Brownian particle within a two-dimensional domain with two escape windows and an internal circulation modeled by the flow within a Hill's vortex. To account for the spatially inhomogeneous flow within the domain, a Lagrangian study is undertaken using the complete equations of motion for a dense particle which is necessary to distinguish between the various regimes as the strength of the internal circulation is varied. For very low internal circulation the particle undergoes the conventional narrow escape problem, and agreement is good with the asymptotic expression. As the internal circulation is increased, regimes are identified with different scaling for the mean escape time. The potential application of this for drug delivery (were nanoparticles are encased in a microsphere) is discussed.
| Type: | Article |
|---|---|
| Title: | Narrow escape problem for Brownian particles in a microsphere with internal circulation |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevE.100.043107 |
| Publisher version: | https://doi.org/10.1103/PhysRevE.100.043107 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10085223 |
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