Corwin Eric I, Jaeger Heinrich M, Nagel Sidney R
James Franck Institute, Department of Physics, The University of Chicago, Chicago, Illinois 60637, USA.
Nature. 2005 Jun 23;435(7045):1075-8. doi: 10.1038/nature03698.
Glasses are rigid, but flow when the temperature is increased. Similarly, granular materials are rigid, but become unjammed and flow if sufficient shear stress is applied. The rigid and flowing phases are strikingly different, yet measurements reveal that the structures of glass and liquid are virtually indistinguishable. It is therefore natural to ask whether there is a structural signature of the jammed granular state that distinguishes it from its flowing counterpart. Here we find evidence for such a signature, by measuring the contact-force distribution between particles during shearing. Because the forces are sensitive to minute variations in particle position, the distribution of forces can serve as a microscope with which to observe correlations in the positions of nearest neighbours. We find a qualitative change in the force distribution at the onset of jamming. If, as has been proposed, the jamming and glass transitions are related, our observation of a structural signature associated with jamming hints at the existence of a similar structural difference at the glass transition--presumably too subtle for conventional scattering techniques to uncover. Our measurements also provide a determination of a granular temperature that is the counterpart in granular systems to the glass-transition temperature in liquids.
玻璃是刚性的,但温度升高时会流动。同样,颗粒材料也是刚性的,但如果施加足够的剪应力,就会解堵并流动。刚性相和流动相截然不同,然而测量结果显示,玻璃态和液态的结构实际上难以区分。因此很自然会问,是否存在一种堵塞颗粒态的结构特征,将其与流动态区分开来。在这里,我们通过测量剪切过程中颗粒间的接触力分布,找到了这种特征的证据。由于力对颗粒位置的微小变化很敏感,力的分布可以作为一台显微镜,用来观察最近邻颗粒位置的相关性。我们发现在堵塞开始时力的分布有质的变化。如果如所提出的那样,堵塞转变和玻璃转变相关,那么我们对与堵塞相关的结构特征的观察暗示,在玻璃转变时也存在类似的结构差异——大概过于细微,传统散射技术难以发现。我们的测量还确定了一种颗粒温度,它在颗粒系统中相当于液体中的玻璃转变温度。