Herschel-Bulkley shearing rheology near the athermal jamming transition.
Herschel-Bulkley shearing rheology near the athermal jamming transition.
复制标题
无热干扰转变附近的赫歇尔-巴尔克利剪切流变学。
DOI：
10.1103/physrevlett.109.108001
复制
发表时间：
2011
影响因子：
8.6
通讯作者：
S. Teitel
中科院分区：
文献类型：
--
作者：
P. Olsson;S. Teitel
我们考虑了软核无摩擦圆盘在非热干扰跃迁附近的二维流变学。从双分散，过阻尼粒子的数值模拟，我们认为，低于干扰的粘度的发散特性的硬核限制，独立于特定的软核相互作用。我们开发了一个从软核到硬核粒子的映射，恢复了早期尺度分析中发现的所有关键行为。使用这个映射，我们推导出一个关系，给出了指数的非线性赫歇尔-Bulkley流变学以上堵塞的发散粘度的指数低于堵塞。
We consider the rheology of soft-core frictionless disks in two dimensions in the neighborhood of the athermal jamming transition. From numerical simulations of bidisperse, overdamped particles, we argue that the divergence of the viscosity below jamming is characteristic of the hard-core limit, independent of the particular soft-core interaction. We develop a mapping from soft-core to hard-core particles that recovers all the critical behavior found in earlier scaling analyses. Using this mapping we derive a relation that gives the exponent of the nonlinear Herschel-Bulkley rheology above jamming in terms of the exponent of the diverging viscosity below jamming.