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Reaction-diffusion on a regular array of perfectly absorbing cylindrical sinks

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  • Venema, P.

Abstract

We extend previous work on the behavior of the effective rate coefficient in a cubic array consisting of penetrable spherical sinks to the case of perfectly absorbing cylindrical sinks arranged parallel to each other with their centers placed on an array of either the square or hexagonal type. Analogously to the spherical sinks it is possible to expand the absorption on the surface of the cylindrical sinks into multipole moments. From this we may calculate the effective rate coefficient as a function of the volume fraction of the cylindrical sinks taking into account only a finite number of multipole moments. By increasing the number of multipole moments we find fully converged results up to the volume fraction of dense packing. We also compare the results with the so-called cylindrical approximation, which is found to be a good approximation only at low volume fractions of the cylinders.

Suggested Citation

  • Venema, P., 1990. "Reaction-diffusion on a regular array of perfectly absorbing cylindrical sinks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 162(3), pages 317-333.
    • Handle: RePEc:eee:phsmap:v:162:y:1990:i:3:p:317-333
    DOI: 10.1016/0378-4371(90)90421-N
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