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二维颗粒流从稀疏态到密集态的临界转变

钟 杰 彭 政 吴耀宇 史庆藩 陆坤权 厚美瑛

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二维颗粒流从稀疏态到密集态的临界转变

钟 杰, 彭 政, 吴耀宇, 史庆藩, 陆坤权, 厚美瑛

The critical phenomena of the dilute-to-dense transition in two-dimensional granular flow

Zhong Jie, Peng Zheng, Wu Yao-Yu, Shi Qing-Fan, Lu Kun-Quan, Hou Mei-Ying
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  • 研究了斜槽中的二维颗粒流由稀疏到密集转变的临界现象.在二维颗粒槽的入口流量Q0和出口尺寸d固定的条件下,记录并统计了稀疏流转变为密集流所经历的时间.研究发现,在统计时间内转变不发生的概率C(t)随时间指数衰减,其衰减的特征时间尺度α-1(d)可以很好地由幂律函数a(dc-d)-γ来拟合,其中dc为临界开口尺寸.此临界尺寸的存在确定了稀疏流到密集流转变的临界现象.
    The criticality of the dilute-to-dense transition in an inclined two-dimensional(2D) granular channel flow is investigated. The waiting time t before the transition occurs and after the flow is initiated is recorded. It is found that the probability function C(t) for the flow remaining dilute at time t decays exponentially with a characteristic time α-1(d). The characteristic time is found to be fitted well by a power law a(dc-d)-γ, where dc is the critical opening size: as for d>dc, the transition will never happen. The existence of a critical opening size at the exit confirms that the dilute-to-dense transition in 2D granular flow is a critical transition.
    • 基金项目: 国家自然科学基金(批准号:A0402-10274098,10474124)资助的课题.
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  • 文章访问数:  7888
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  • 被引次数: 0
出版历程
  • 收稿日期:  2006-03-07
  • 修回日期:  2006-07-20
  • 刊出日期:  2006-06-05

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