Instituut-Lorentz, Universiteit Leiden, Postbus 9506, 2300 RA Leiden, The Netherlands.
Phys Rev Lett. 2010 Aug 20;105(8):088303. doi: 10.1103/PhysRevLett.105.088303. Epub 2010 Aug 17.
We probe flows of soft, viscous spheres near the jamming point, which acts as a critical point for static soft spheres. Starting from energy considerations, we find nontrivial scaling of velocity fluctuations with strain rate. Combining this scaling with insights from jamming, we arrive at an analytical model that predicts four distinct regimes of flow, each characterized by rational-valued scaling exponents. Both the number of regimes and the values of the exponents depart from prior results. We validate predictions of the model with simulations.
我们研究了临近堵塞点（作为静态软球临界点的位置）的软粘性球的流动情况。从能量角度出发，我们发现速度涨落与应变速率存在非平凡的标度关系。将这种标度关系与堵塞方面的认识相结合，我们得到了一个解析模型，该模型预测了流动的四个不同区域，每个区域的特征都由有理数标度指数来描述。无论是区域的数量还是指数的值都与先前的结果有所不同。我们使用模拟来验证模型的预测。
