Airy gas model

In practice, as in [15], we replace the true Airy gas described above by an Airy gas model in which Ljl = 20 with I defined below. This system has 19 occupied... 

Fig. 1 Exact and Thomas-Fermi electron density n as a function of position z for the Airy gas model with force F = 0.10. The scaling length is 1 = 1.71. The edge region is —/ < z < / and the Thomas-Fermi density is reasonably accurate for z > I- The infinite barrier is at z = 201 = 34.2. The magnitudes of the densities in this figure are valence-electron-like the density parameter Ts (the radius of a sphere containing on average one electron) is about 3.3 at z = I and about 1.3 at z = 10 (atomic units)...

Fig. 2 Exact and Thomas-Fermi reduced density gradient s of Eq. (9) as a function of position z for the Airy gas model with force F = 0.10 (atomic units)...

Fig. 3 Exact and Thomas-Fermi ratio of the reduced Laplacian q of Eiq. (11) to the square of the reduced gradient s of Eq. (9), as a function of position z, for the Airy gas model with force F = 0.10. Also shown for comparison is the same ratio in the true Aiiy gas, where the Friedel oscillations [9] appear to be damped with increasing z- The visible difference between the tiue...

Airy gas and the Airy gas model (with an infinite barrier at z = 201) suggests that the ratio plotted here is less nearsighted than the density itself (atomic units)... 

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