Page 5 - Azerbaijan State University of Economics

Sh.G. Askerov, A.Sh.Askerov: Econophysical analysis of the relationship between monopoly
and competition

We have shown [Аскеров Ш.Г., Сена Л.А., 1969 p.1591-15962] that the character
of the dependence of the cathode sputtering coefficient on the ion energy in the near-
threshold energy region is very different for single-crystal and polycrystalline
samples. In Fig. 1, it is shown that the dependence of Y (Ep) for different faces of a
single crystal is linear (a, b, c line), and a face with a large angular coefficient has a
large sputtering threshold (Eo). In the case where the bombarded surface consists of
several single-crystal faces, the Y (Ep) dependence becomes a broken line (1-2-3).
When there are many polyline lines, i.e. When the bombarded surface is a
polycrystalline, such a dependence is described by a cubic law:

Y = к (Е- Е оа) 3

c

Е 0а < 0b < 0с
Е
Е

3
Y, atom/ion
b

а
2
1

Е Е 0 Е Е , еV
0а 0с р
b c
Fig. 1. Energy dependence of the sputtering coefficient for single crystals (aa,
bb and cc lines) and inhomogeneous surfaces (1-2-3 broken line).

Since the surface of the polycrystal consists of numerous chaotically oriented
faces, it can be assumed that both the angular coefficients b of the Y (Ep)
dependences and the threshold energies vary chaotically and continuously. As can
be seen from the figure, the character of the output characteristics of the sputtering
depends on the structure of the bombarded surface and, changing the structure, it is
possible to change the angular coefficients of the Y (Ep) dependence.
To achieve progress in the field of market economy, one can borrow the
scientific results obtained in the field of cathode sputtering at low ion energies.
Figure 2 shows the dependence of the volume of output (or services) on time in

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