Granular Dynamics in Uniform and Non-Uniform Potential Fields
| Autor: | YI-LIN HSIAO, 蕭義霖 |
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| Rok vydání: | 2013 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 101 Brownian motion which is excited by the vertical vibration is studied with a single particle in our experiment. The particle's probability velocity distributions match the Gaussian distribution and the position distribution is homogeneous with different vibration condition in the annular container on a regular rough bottom. We setup a single hard sphere and iron bar to do the experiment. Without interaction between the particles, the effect of the potential field in Brownian motion is observed directly. In a symmetric potential field, we find that the hard sphere's density and the magnetic field are correlated with the Maxwell-Boltzmann statistics. Following the thermodynamics, the potential energy E is related to the intensity of magnetic field B and the effective temperature kT is related to the average velocity. The Maxwell-Boltzmann statistics is also used in this discussion. Second, we record the escape behavior in the potential well. The escape time T is related to the effective temperature kT under the Kramer escape theory. We also try to find the relation between the climbing behavior and potential field. Next, we put the single hard sphere in an asymmetric potential field. The sphere's behavior is also correlated with the Maxwell-Boltzmann statistics. With climbing the asymmetric potential field, we record the time and quantity that the sphere climbs the asymmetric potential well that the distance is defined by the location or the magnetic field. Finally, the cylinder is used to do the experiment with potential field. The relation between position and orientation is recorded and the real motion behavior is described. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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