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A Faxén theorem for the reactivity of a spherical sink

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  • Van der Zwan, G.

Abstract

Using the concept of induced surface densities, we derive a Faxén theorem for the reactivity of a spherical sink at the surface of which radiative boundary conditions apply. This theorem demonstrates that the rate with which diffusing particles disappear into the sink can be expressed in the surface and volume averages of the unperturbed solutions of the diffusion equation, that is the solutions of the diffusion equation in the absence of the sink. Several special cases are considered.

Suggested Citation

  • Van der Zwan, G., 1985. "A Faxén theorem for the reactivity of a spherical sink," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 237-250.
    • Handle: RePEc:eee:phsmap:v:131:y:1985:i:1:p:237-250
    DOI: 10.1016/0378-4371(85)90089-5
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    References listed on IDEAS

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    1. Mazur, P. & van der Zwan, G., 1978. "Brownian motion in a fluid close to its' critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(3), pages 483-500.
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