颗粒体系中力分布的标量力网系综模型

The scalar force network ensemble model for force distribution in granular system

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.

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.