Homogenization of boundary conditions for surfaces with regular arrays of traps

被引:73
作者
Berezhkovskii, AM [1 ]
Monine, MI
Muratov, CB
Shvartsman, SY
机构
[1] Princeton Univ, Dept Chem Engn, Princeton, NJ 08540 USA
[2] Princeton Univ, Lewis Sigler Inst Integrat Genom, Carl Icahn Lab, Princeton, NJ 08544 USA
[3] NIH, Math & Stat Comp Lab, Div Computat Biosci, Ctr Informat Technol, Bethesda, MD 20892 USA
[4] N Carolina State Univ, Dept Chem, Raleigh, NC 27695 USA
[5] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA
[6] Karpov Inst Phys Chem, Moscow, Russia
关键词
D O I
10.1063/1.2161196
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
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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页数:3
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