| Summary: | 碩士 === 國立臺灣大學 === 物理研究所 === 93 === The velocity distribution function of a granular gas system driven by the vibrating boundary is studied with maximum entropy principle. It is a well-known result that the velocity distribution of such system deviated from the Maxwell-Boltzmann one and had a characteristic over-populated high energy tail. We applied maximum entropy principle with suitable chosen constraints to give a possible explanation of this phenomenon. The distribution is given by P(v)=Cexp[-av⁴-bv³-cv²-dv] where only the ratio of these parameters can be determined. Yet, agreement with simulation data was not certain. Besides this, the velocity distribution depends on the size of granular particles, number density, and the coefficient of restitution but not on external driving frequency and amplitude. The spatial distribution of granules in a potential well is also investigated.
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