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For instance, two dispersion cases with lead time of 20 and 30 min to take measures are simulated and the resulting dispersion outcome to surrounding area is compared as shown in Fig. 10.
As it is seen from the figure, in the weak SQ regime, when the Coulomb interaction energy of particles significantly prevails over the SQ energy of QD walls, the Ps energy curve behaviors in parabolic and Kane's dispersion cases differ radically.
Thus, at R 0 = ƛ C, the energy difference of ground states of parabolic and Kane's dispersion cases is ΔEground ≃ 2.6E g, whereas for excited states it is ΔEexcited ≃ 15.24E g. Figure 2 Dependences of ground- and first excited-state energies of electron-positron pair.
This could explain the low number of iris dispersion cases in our study.
Furthermore, comparing the high and low repolarization dispersion cases in Fig. 6, it can be seen that the errors are increased when local repolarization dispersion is greater, as is likely in pathological cases.
For small electrode distances, the difference between the high and low dispersion cases is negligible, but at larger distances doubling the dispersion of repolarization is found here to increase errors by a factor greater than three.
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The discrepancy of curves appears sharper in smaller values of QD radius because the dependence on QD sizes is proportional ~ 1 r 0 2 in the parabolic case, and in Kane's dispersion case, the analogous dependence appears under the square root (see (10)).
Thus, at R 0 = 3 ƛ C in Kane's dispersion case, the binding energy is E Bind Kane ≃ 1.675 E g, in the parabolic case, it is E Bind Par ≃ 0.31 E g, and at value R 0 = 6 ƛ C, they are E Bind Kane ≃ 1.482 E g and E Bind Par ≃ 0.036 E g, respectively.
For the axial dispersion case the results show that the continuous phase Peclet number affects the frequency response of the reactor in a complicated manner giving rise, for some input-output relations and small values of the Peclet number, to complex oscillations in both amplitude ratio and phase angle.
Hence, a low repolarization dispersion case was simulated by using a propagation velocity of 130 cm/s.
For the high repolarization dispersion case, a propagation velocity of 65 cm/s was used, reflecting a typical activation propagation speed.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com