Optical Instruments, Volume. 44, Issue 4, 67(2022)

Geometric structure of exponential distribution in a two-dimensional particle system

Yunsong HUA1... Hongyang DAI1, Hongze LI1, Hui YANG1 and Ran LI2,* |Show fewer author(s)
Author Affiliations
  • 1School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
  • 2School of Health Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
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    Quantifying the geometric structure of packing particles is of great value for understanding the macroscopic mechanical properties of particle systems. In this paper, Cell was utilized to measure the geometric structure of disk particles in a two-dimensional silo. The probability distribution of Cell shapes satisfied the exponential function distribution and was independent of the system size. Furthermore, it was observed that under the condition of vibration driving, the triangular-shaped Cell had a surge, and the formation probability increased by 19%, while the probability distribution of the rest shapes of Cell still satisfied the exponential function distribution. The experimental results reveal the structural characteristics of ordered packing in disordered particle system at intermediate scale, and provide references for perfecting the theory of particle mechanics.

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    Yunsong HUA, Hongyang DAI, Hongze LI, Hui YANG, Ran LI. Geometric structure of exponential distribution in a two-dimensional particle system[J]. Optical Instruments, 2022, 44(4): 67

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    Paper Information

    Category: DESIGN AND RESEARCH

    Received: Jan. 21, 2022

    Accepted: Mar. 31, 2022

    Published Online: Oct. 19, 2022

    The Author Email: LI Ran (ran89@usst.edu.cn)

    DOI:10.3969/j.issn.1005-5630.2022.004.009

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