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    Numerical Simulation of Species Segregation and 2D Distribution in the Floating Zone Silicon Crystals
    (Basel : MDPI, 2022) Surovovs, Kirils; Surovovs, Maksims; Sabanskis, Andrejs; Virbulis, Jānis; Dadzis, Kaspars; Menzel, Robert; Abrosimov, Nikolay
    The distribution of dopants and impurities in silicon grown with the floating zone method determines the electrical resistivity and other important properties of the crystals. A crucial process that defines the transport of these species is the segregation at the crystallization interface. To investigate the influence of the melt flow on the effective segregation coefficient as well as on the global species transport and the resulting distribution in the grown crystal, we developed a new coupled numerical model. Our simulation results include the shape of phase boundaries, melt flow velocity and temperature, species distribution in the melt and, finally, the radial and axial distributions in the grown crystal. We concluded that the effective segregation coefficient is not constant during the growth process but rather increases for larger melt diameters due to less intensive melt mixing.
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    Influence of surface parameters on dielectric-barrier discharges in argon at subatmospheric pressure
    (Bristol : IOP Publ., 2020) Stankov, M.; Becker, M.M.; Bansemer, R.; Weltmann, K.-D.; Loffhagen, D.
    The influence of the secondary electron emission coefficient, γ, and the relative permittivity, ɛr, of the dielectric layers on the characteristics of dielectric-barrier discharges (DBDs) is studied by means of numerical modelling and calculated results are compared with experimental data. The analysis has been performed for a geometrically symmetric, plane-parallel DBD in argon with copper electrodes covered by quartz dielectrics. A time-dependent, spatially one-dimensional fluid model involving the drift-diffusion approximation is applied for the numerical analysis of the DBD operating sinusoidally at a frequency of 24 kHz with applied voltages between 1.8 and 3.4 kV and pressures from 100 to 650 mbar. Main features of the model as well as the experimental setup and procedures are given. The modelling studies show especially the sensitivity of the results on the specific choice of γ and ɛr regarding the occurrence and intensity of discharge peaks, the appearance of one or more smaller peaks after the main peak, as well the establishment of a single periodic, multiperiodic or even chaotic temporal evolution of the DBD. In particular, generally good agreement between measured and calculated discharge current signals and the power dissipated in the discharge is found for γ = 0.02 and ɛr = 4.2.