Aranson Igor S, Volfson Dmitri, Tsimring Lev S
Argonne National Laboratory, Argonne, IL 60439, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 May;75(5 Pt 1):051301. doi: 10.1103/PhysRevE.75.051301. Epub 2007 May 1.
Large-scale collective motion emerging in a monolayer of vertically vibrated elongated particles is studied. The motion is characterized by recurring swirls, with the characteristic scale exceeding several times the size of an individual particle. Our experiments identified a small horizontal component of the oscillatory acceleration of the vibrating plate in combination with orientation-dependent bottom friction (with respect to horizontal acceleration) as a source for the swirl formation. We developed a continuum model operating with the velocity field and local alignment tensor, which is in qualitative agreement with the experiment.
研究了单层垂直振动的细长颗粒中出现的大规模集体运动。这种运动的特征是反复出现的漩涡,其特征尺度超过单个颗粒尺寸的几倍。我们的实验确定,振动板振荡加速度的一个小水平分量与依赖于取向的底部摩擦力(相对于水平加速度)共同作为漩涡形成的来源。我们开发了一个基于速度场和局部排列张量的连续介质模型,该模型与实验结果在定性上相符。