• Corpus ID: 253761184

The 3D narrow capture problem for traps with semipermeable interfaces

  title={The 3D narrow capture problem for traps with semipermeable interfaces},
  author={Paul C. Bressloff},
. In this paper we analyze the narrow capture problem for a single Brownian particle diffusing in a three-dimensional (3D) bounded domain containing a set of small, spherical traps. The boundary surface of each trap is taken to be a semipermeable membrane. That is, the continuous flux across the interface is proportional to an associated jump discontinuity in the probability density. The constant of proportionality is identified with the permeability κ . In addition, we allow for discontinuities… 

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