| Extended narrow escape problem: boundary homogenization-based analysis. | |
| | |
MedLine Citation:
|
PMID: 20866572 Owner: NLM Status: In-Process |
Abstract/OtherAbstract:
|
Diffusion of particles in confined domains with absorbing spots on the otherwise reflecting boundaries is ubiquitous in nature and technology. Because of nonuniform boundary conditions, the problem of finding the mean first passage time (MFPT) of the particle to one of the spots is extremely complicated. We show how the difficulties can be overcome by means of boundary homogenization when the domain is a circular disk whose boundary contains n nonoverlapping identical absorbing arcs, which may occupy an arbitrary fraction of the boundary. We find the MFPT as a function of the fraction of the boundary occupied by the arcs (i) for n evenly spaced arcs and (ii) for two arcs arbitrarily located on the boundary. As the arc length tends to zero, our approximate solution reduces to the known asymptotic formula for the MFPT rigorously derived in studies devoted of the narrow escape problem. |
| | |
Authors:
|
A M Berezhkovskii; A V Barzykin |
Publication Detail:
|
Type: Journal Article; Research Support, N.I.H., Intramural Date: 2010-07-13 |
Journal Detail:
|
Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 82 ISSN: 1550-2376 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2010 Jul |
Date Detail:
|
Created Date: 2010-09-27 Completed Date: - Revised Date: - |
Medline Journal Info:
|
Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
|
Languages: eng Pagination: 011114 Citation Subset: IM |
Affiliation:
|
Mathematical and Statistical Computing Laboratory, Division of Computational Bioscience, Center for Information Technology, National Institutes of Heath, Bethesda, Maryland 20892, USA. |
Export Citation:
|
APA/MLA Format Download EndNote Download BibTex |
| MeSH Terms | |
Descriptor/Qualifier:
|
|
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
Previous Document: Analytic results for the percolation transitions of the enhanced binary tree.
Next Document: Dispersive dielectrics and time reversal: free energies, orthogonal spectra, and parity in dissipati...