A mathematical model for the 'hit' phenomenon in entertainment within a society is presented as a stochastic process of human dynamics interactions. The model uses only the advertisement budget time distribution as an input, and word-of-mouth (WOM), represented by posts on social network systems, is used as data to make a comparison with the calculated results. The unit of time is days. The WOM distribution in time is found to be very close to the revenue distribution in time. Calculations for the Japanese motion picture market based on the mathematical model agree well with the actual revenue distribution in time.
Schottky barrier diodes are made by ac magnetron deposition of Au on p-type GaAs substrates. Sputtering causes donor-like defects in the surface region of semiconductors, and these donor-like states compensate mostly the Zn shallow acceptor states over distances of 200 nm below the surface. These defects are attributed to the As Frenkel pairs V As -As i with an energy level at 0.27 eV below the conduction band. The As Frenkel pairs are responsible for the Fermi level pinning at metal-semiconductor interfaces and also for the observed change in barrier height in sputtered GaAs material.
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