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Simulation of doubly stochastic Poisson point processes and application to nucleation of nanocrystals and evaluation of exciton fluxes

Author

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  • Sabelfeld Karl K.

    (Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Novosibirsk, Russia)

  • Glazkov Stepan

    (Institute of Computational Mathematics and Mathematical Geophysics, Russian Academy of Sciences, Novosibirsk, Russia)

Abstract

In this study we solve the following problem: Simulate random 2D Poisson point processes with a desired correlation function. To solve this problem we suggest the following algorithm: (1) simulate a positive valued random process with the desired correlation function, (2) use this process as an intensity of the doubly stochastic Poisson random point process. We apply this algorithm to simulate random distribution of nanocrystals on a plane. Then we apply the developed methods to calculate excitonic fluxes to the family of generated nanocrystals.

Suggested Citation

  • Sabelfeld Karl K. & Glazkov Stepan, 2024. "Simulation of doubly stochastic Poisson point processes and application to nucleation of nanocrystals and evaluation of exciton fluxes," Monte Carlo Methods and Applications, De Gruyter, vol. 30(3), pages 315-330.
    • Handle: RePEc:bpj:mcmeap:v:30:y:2024:i:3:p:315-330:n:1008
    DOI: 10.1515/mcma-2024-2014
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