Fractional Brownian motion of an Al nanosphere in liquid Al-Si alloy under electron-beam irradiation

An electron beam to stimulate and observe the motion of the nanosphere was used to investigate the motion of a crystalline AL nanosphere inside a partially molten Al-Si alloy particle. The observance of irregular motion was quantified as antipersistant fractional Brownian motion. The providing of the fractional force that moves the Al nanosphere by the incident electrons is demonstrated by the analysis of possible phenomena contributing to the motion. It also demonstrates that the antipersistant behavior is caused by the oxide shell and gravity on the partially molten particle.