Homogenization of boundary conditions for surfaces with regular arrays of traps

Document Type

Article

Publication Date

1-30-2006

Abstract

The homogenization of periodic nonuniform boundaries with regular arrays of traps by alternating and reflecting stripes is studied. The planar surfaces are covered by periodic arrays of parallel stripes, which are ideal traps for diffusing particles. The dependence of trapping rate that enters into the homogenized boundary condition on the surface fraction occupied by the traps is expressed through equations. It is shown that the boundary becomes perfectly absorbing at any fixed value of surface fraction when the characteristic size of the traps tends to zero.

Identifier

33750194484 (Scopus)

Publication Title

Journal of Chemical Physics

External Full Text Location

https://doi.org/10.1063/1.2161196

ISSN

00219606

PubMed ID

16438616

Issue

3

Volume

124

Fund Ref

National Science Foundation

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