Brownian Motion in Dire Straits

David Holcman; Zeev Schuss

REVIEW

Brownian Motion in Dire Straits

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1202.2775 v1 pith:ESBCCVFE submitted 2012-02-13 math-ph math.MP

Brownian Motion in Dire Straits

David Holcman , Zeev Schuss This is my paper

classification math-ph math.MP

keywords bottleneckbrownianmotionpassagetimeapplicationsbehaviorbottlenecks

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

The passage of Brownian motion through a bottleneck in a bounded domain is a rare event and the mean time for such passage increases indefinitely as the bottleneck's radius shrinks to zero. Its calculation reveals the effect of geometry and smoothness on the flux through the bottleneck. We find new behavior of the narrow escape time through bottlenecks in planar and spatial domains and on a surface. Some applications are discussed.

Brownian Motion in Dire Straits

discussion (0)