| 颗粒体系中力分布的标量力网系综模型 |
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| 引用本文： | 张兴刚,隆正文,胡林. 颗粒体系中力分布的标量力网系综模型[J]. 物理学报, 2009, 58(1): 90-96 |
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| 作者姓名： | 张兴刚 隆正文 胡林 |
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| 作者单位： | 贵州省光电子技术与应用重点实验室，贵州大学理学院，贵阳 550025 |
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| 基金项目： | 国家自然科学基金(批准号:10374021)，贵州省研究生创新基金(批准号:2006010)和贵州省科技厅基金(批准号:20072003)资助的课题. |
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| 摘 要： | 建立了便于解析计算的标量力网系综模型研究颗粒体系中的力分布问题.所提出的Laplace变换法有效地解决了复杂约束条件下概率密度函数的积分问题，并给出体系中层数较少时极限分布的表达式.发现一般情况下极限分布为多项式与指数函数的乘积，力分布在接近平均力处取最大值，大于平均力时呈指数减小.关键词：静态颗粒体系力空间力网系综
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| 关 键 词： | 静态颗粒体系 力空间 力网系综 |
| 收稿时间： | 2008-05-13 |
The scalar force network ensemble model for force distribution in granular system |
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| Zhang Xing-Gang,Long Zheng-Wen,Hu Lin. The scalar force network ensemble model for force distribution in granular system[J]. Acta Physica Sinica, 2009, 58(1): 90-96 |
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| Authors: | Zhang Xing-Gang Long Zheng-Wen Hu Lin |
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| Abstract: | A scalar model of force network ensemble is proposed to investigate the force distribution in static granular system. The Laplace transform method is found as an effective method to solve the integral issue of probability density under complex constraints. On the condition that the system has few layers, the analytical expression for the limit distribution is accounted for which is the product of the polynomial function and the exponential function. When the force is near the average force, the distribution has its maximum value, when it's above the average force, the distribution decreases exponentially. |
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| Keywords: | static granular system force phase space ensemble of force networks |
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