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Cover Times in Vibrated Granular Matter
Ke Cheng 1 #,Jia-Qi Dong 1,Liang Huang 1 *,Lei Yang 2
1.School of Physical Science and Technology, Lanzhou University, Lanzhou 730000
2.Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000
*Correspondence author
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Funding: Specialized Research Fund for the Doctoral Program of Higher Education（No.20130211110008）, NSFC（No.11422541）
Opened online:25 April 2017
Accepted by: none
Citation: Ke Cheng,Jia-Qi Dong,Liang Huang.Cover Times in Vibrated Granular Matter[OL]. [25 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4725348
 
 
This article provides a experimental verification of cover times distribution theory. In real systems, due to the boundary conditions, driving mode and the granular mixtures, the particle's diffusions are usually different from several classic random walks. In this article we investigate two types of granular diffusion: the Brownian motion and the unusual diffusion. We found that the particle's cover time distribution will be affected by boundary effects, and we develop a boundary cutting method to remove that impact. It is observed that the full cover times distribution of super-diffusion and Brownian motion are suitable for the theoretical result in the long-time covering process, but in the short-time covering process, there is a deviation. We think this deviation is due to the long-time approximation.
Keywords:Theoretical Physics; Granular Matter; Random Walk; Cover Time
 
 
 

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