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Analytical Description of the Hole Overlapping Process on the Nuclear-Track Membrane Surface

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Abstract

The classical problem of overlapping circular holes of equal diameters on one surface of a nuclear track membrane was considered. Using the Monte Carlo method, the probabilities of overlapping W k(P) of nuclear pores with a multiplicity of k < 32 at a porosity of P < 0.30 were determined and analytical expressions for their approximation were derived. The results were analyzed in terms of an approach based on a kinetic equation for a discrete Markov process. It was shown that the W k(P) values obtained for multiple pores with a multiplicity of k < 7 are consistent with the theory if two-step processes are taken into account.

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  1. Leipunskii Institute of Physics and Power Engineering, Russian Federal Research Center, pl. Bondarenko 1, Obninsk, Kaluga oblast, 249020, Russia

    V. S. Shorin

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  1. V. S. Shorin
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Shorin, V.S. Analytical Description of the Hole Overlapping Process on the Nuclear-Track Membrane Surface. High Energy Chemistry 36, 294–299 (2002). https://doi.org/10.1023/A:1020286331212

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  • DOI: https://doi.org/10.1023/A:1020286331212

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