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Dense granular flow at the critical state: maximum entropy and topological disorder

机译：临界状态下的致密颗粒流：最大熵和拓扑混乱

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摘要

After extensive quasi-static shearing, dense dry granular flows attain a steady-state condition of porosity and deviatoric stress, even as particles are continually rearranged. The paper considers two-dimensional flow and derives the probability distributions of two topological measures of particle arrangement-coordination number and void valence-that maximize topological entropy. By only considering topological dispersion, the method closely predicts the distribution of void valences, as measured in discrete element (DEM) simulations. Distributions of coordination number are also derived by considering packings that are geometrically and kinetically consistent with the particle sizes and friction coefficient. A cross-entropy principle results in a distribution of coordination numbers that closely fits DEM simulations.
机译：经过大范围的准静态剪切后，即使颗粒不断地重新排列，致密的干燥颗粒流也达到了孔隙度和偏应力的稳态状态。本文考虑了二维流动，并推导了使拓扑熵最大化的粒子排列的两个拓扑量度（配位数和空隙价）的概率分布。通过仅考虑拓扑散度，该方法可以紧密预测空隙价的分布，如在离散元素（DEM）模拟中测量的。还通过考虑在几何和动力学上与颗粒尺寸和摩擦系数一致的填料来获得配位数的分布。交叉熵原理导致协调数的分布非常符合DEM模拟。

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