Homogenization of boundary conditions for surfaces with regular arrays of traps

Alexander M. Berezhkovskii; Michael I. Monine; Cyrill B. Muratov; Stanislav Y. Shvartsman

doi:10.1063/1.2161196

Homogenization of boundary conditions for surfaces with regular arrays of traps

Alexander M. Berezhkovskii, Michael I. Monine, Cyrill B. Muratov, Stanislav Y. Shvartsman

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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.

Original language	English (US)
Article number	036103
Journal	Journal of Chemical Physics
Volume	124
Issue number	3
DOIs	https://doi.org/10.1063/1.2161196
State	Published - 2006

All Science Journal Classification (ASJC) codes

General Physics and Astronomy
Physical and Theoretical Chemistry

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10.1063/1.2161196

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title = "Homogenization of boundary conditions for surfaces with regular arrays of traps",

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.",

author = "Berezhkovskii, {Alexander M.} and Monine, {Michael I.} and Muratov, {Cyrill B.} and Shvartsman, {Stanislav Y.}",

note = "Funding Information: One of the authors (A.M.B.) is grateful to Dr. Attila Szabo for numerous illuminating discussions of different aspects of the problem. Two of the authors (S.Y.S. and C.B.M.) were supported by the funds from NSF Grant Nos. DMS-0211864 and DMS-0211755. This research was supported in part by the Intramural Research Program of the NIH, Center for Information Technology.",

year = "2006",

doi = "10.1063/1.2161196",

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journal = "Journal of Chemical Physics",

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T1 - Homogenization of boundary conditions for surfaces with regular arrays of traps

AU - Berezhkovskii, Alexander M.

AU - Monine, Michael I.

AU - Muratov, Cyrill B.

AU - Shvartsman, Stanislav Y.

N1 - Funding Information: One of the authors (A.M.B.) is grateful to Dr. Attila Szabo for numerous illuminating discussions of different aspects of the problem. Two of the authors (S.Y.S. and C.B.M.) were supported by the funds from NSF Grant Nos. DMS-0211864 and DMS-0211755. This research was supported in part by the Intramural Research Program of the NIH, Center for Information Technology.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

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DO - 10.1063/1.2161196

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JO - Journal of Chemical Physics

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ER -

Homogenization of boundary conditions for surfaces with regular arrays of traps

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