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Mathematical Model of Qualitative Properties of Exciton Diffusion Generated by Electron Probe in a Homogeneous Semiconductor Material

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Abstract

The qualitative properties of the two-dimensional mathematical model of excitons diffusion excited by an electron beamin a semiconductormaterial are investigated. For the studied model proved continuous dependence of the solution from the input data. It is shown that the model can be applied to estimate the diffusion coefficient and the mobility of excitons on the results of experimental measurements. In the simulation are used parameters that are typical for gallium nitride.

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Authors and Affiliations

  1. Tsiolkovsky Kaluga State University, ul. Stepana Razina 26, Kaluga, 248023, Russia

    A. N. Polyakov & M. A. Stepovich

  2. Plekhanov Russian University of Economics, Ivanovo Branch, ul. Dzherzhinskogo 53, Ivanovo, 153025, Russia

    A. N. Smirnova & D. V. Turtin

Authors
  1. A. N. Polyakov
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  2. A. N. Smirnova
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  3. M. A. Stepovich
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  4. D. V. Turtin
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Correspondence to A. N. Polyakov.

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(Submitted by A. M. Elizarov)

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Polyakov, A.N., Smirnova, A.N., Stepovich, M.A. et al. Mathematical Model of Qualitative Properties of Exciton Diffusion Generated by Electron Probe in a Homogeneous Semiconductor Material. Lobachevskii J Math 39, 259–262 (2018). https://doi.org/10.1134/S199508021802021X

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  • DOI: https://doi.org/10.1134/S199508021802021X

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