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Wigner solids and diffusion controlled reactions in a regular array of spheres

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  • Felderhof, B.U.

Abstract

We consider particles diffusing independently in the interstitial space of a regular array of perfectly absorbing spheres. We present exact results for the steady state rate coefficient. We show that the rate coefficient may be related to the field energy of a corresponding Wigner solid which is calculated using methods developed by Nijboer and de Wette.

Suggested Citation

  • Felderhof, B.U., 1985. "Wigner solids and diffusion controlled reactions in a regular array of spheres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(1), pages 34-56.
    • Handle: RePEc:eee:phsmap:v:130:y:1985:i:1:p:34-56
    DOI: 10.1016/0378-4371(85)90097-4
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    References listed on IDEAS

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    1. den Hollander, W.Th.F. & Kasteleyn, P.W., 1982. "Random walks with ‘spontaneous emission’ on lattices with periodically distributed imperfect traps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(3), pages 523-543.
    2. Denos Gazis & Robert Herman & Alexei Maradudin, 1960. "The Problem of the Amber Signal Light in Traffic Flow," Operations Research, INFORMS, vol. 8(1), pages 112-132, February.
    3. Hills, B.P. & Deutch, J.M., 1976. "Renormalization of the rotational diffusion coefficient in a fluctuating fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 83(2), pages 401-410.
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