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arXiv 0810.4891cond-mat.softcond-mat.stat-mech
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为什么颗粒材料会随着剪切速率而变硬?一种新的基于压力的统计方法的检验

Why Do Granular Materials Stiffen with Shear Rate? A Test of Novel Stress-Based Statistics

Robert P. Behringer, Dapeng Bi, Bulbul Chakraborty, Silke Henkes, Robert R. Hartley

摘要:

最近的实验表明,颗粒剪切的速率依赖性,使应力线性增长的对数的剪切速率,\dot γ。假设一个广义的激活过程机制,我们表明,这些意见是一致的,最近提出的基于压力的统计合奏。相比之下,使用传统的基于能量的统计力学来描述活化过程的速率依赖性预测,预测的速率依赖性为(\ln(\dot γ))^{1/2}。

英文摘要:

Recent experiments exhibit a rate-dependence for granular shear such that the stress grows linearly in the logarithm of the shear rate, \dotγ. Assuming a generalized activated process mechanism, we show that these observations are consistent with a recent proposal for a stress-based statistical ensemble. By contrast, predictions for rate-dependence using conventional energy-based statistical mechanics to describe activated processes, predicts a rate dependence that of (\ln (\dotγ))^{1/2}.

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