三维圆锥沙堆崩坍的近黑体形式统计  

Black-body like statistics of three-dimensional cone sandpile avalanche

作　　者：姜久兴[1] 肖振兴[1] 连四通[1] 张崇礼[1] 张震[1] 张旭志[1] 

机构地区：[1]哈尔滨理工大学应用科学学院应用物理系,哈尔滨150080

出　　处：《应用力学学报》2013年第5期687-692,801,共6页Chinese Journal of Applied Mechanics

基　　金：黑龙江省自然科学基金(A2007-06)

摘　　要：由于颗粒位置矢量和接触矢量难以测量,体积系统理论无法实际应用。对此,本文类比黑体辐射过程对沙堆(λX=0.2)崩坍进行了数值研究,并分别对150目和200目铜粉堆进行了崩坍实验。结果表明:在150目铜粉堆中,崩坍规模m≤0.3g时拟合较好,而崩坍规模m≥0.5g时拟合较差;在200目铜粉堆中,崩坍规模m≤0.5g时拟合较好,而崩坍规模m≥0.8g时拟合较差。这说明体颗粒物质的动力学特性不具有遍历性。本研究还给出了一种求解有效体积的途径,从而为进一步深化颗粒物质体积系综理论研究提供了便利条件。To study the dynamic properties of granular matters,volume ensemble theory was developed by Edward et..However,the application of this theory is limited as position vector and contact vector are difficult to measure.This paper conducts a numerical study of sandpile avalanche referring to the black-body radiation.Based on the proportional relationship between effective volume and effective mass,an avalanche experiments using the 200 mesh copper powder and 100 mesh copper powder,respectively,are carried out.The results show that:small mass avalanche fits better with the theoretical curve when m ≤ 0.3gthan m ≥ 0.5gin 150 mesh copper powder;small mass avalanche fits better with the theoretical curve when m ≤ 0.5gthan m ≥ 0.8gin 200 mesh copper powder.That is to say,the nature of ergodicity is not found about granular matters.The research also gives an approach to calculate the effect volume and provides some convenient conditions to the farther study of volume ensemble theory.

关 键 词：铜粉 体积系综 崩坍 黑体辐射 遍历性 

分 类 号：O347.7[理学—固体力学]