论文标题
狭窄频道中有两个尺寸的磁盘堵塞
Jammed disks of two sizes in a narrow channel
论文作者
论文摘要
精确解决了颗粒状模型,其中两种尺寸和重量的磁盘交替序列局限于狭窄的通道。通道的轴是水平的,其平面垂直。磁盘尺寸和频道宽度是如此,在干扰下没有磁盘保持松动,并且所有磁盘都触及一堵墙。通过用两盘图块构建的统计相互作用的颗粒来表征堵塞的微骨。巨大的宏观抑制剂取决于膨胀工作的度量,重力势能和抑制前随机搅拌的强度。配置熵对过量体积的依赖性表现出临界点。
A granular-matter model is exactly solved, where disks of two sizes and weights in alternating sequence are confined to a narrow channel. The axis of the channel is horizontal and its plane vertical. Disk sizes and channel width are such that under jamming no disks remain loose and all disks touch one wall. Jammed microstates are characterized via statistically interacting particles constructed out of two-disk tiles. Jammed macrostates depend on measures of expansion work, gravitational potential energy, and intensity of random agitations before jamming. The dependence of configurational entropy on excess volume exhibits a critical point.