论文标题
压缩驱动的无摩擦球的临界尺度悬浮
Critical Scaling of Compression-Driven Jamming of Athermal Frictionless Spheres in Suspension
论文作者
论文摘要
我们在数值上，在两个和三个维度上，在非悬浮液中，在数字上研究了一个易于阻尼，无摩擦球的系统。我们以固定速率$ \dotε$对系统进行压缩，我们研究了干扰过渡时的关键行为。有限压缩率引入了控制时间尺度，该时间表使人们可以探测与干扰相关的关键时间尺度。正如先前针对稳态剪切驱动的保障所发现的那样，我们发现压缩驱动的干扰是压力遵守临界缩放关系，这是包装分数$ ϕ $和压缩率$ \dotε$的函数，并且大量粘度$ p/\dotε$在干扰上脱落。缩放分析确定与压缩驱动的干扰转变相关的关键指数。我们的结果表明，压力 - 偏置，压缩驱动的，干扰可能与应力肛门型，剪切驱动的，障碍物处于同一通用类别。
We study numerically a system of athermal, overdamped, frictionless spheres, as in a non-Brownian suspension, in two and three dimensions. Compressing the system isotropically at a fixed rate $\dotε$, we investigate the critical behavior at the jamming transition. The finite compression rate introduces a control timescale, which allows one to probe the critical timescale associated with jamming. As was found previously for steady-state shear-driven jamming, we find for compression-driven jamming that pressure obeys a critical scaling relation as a function of packing fraction $ϕ$ and compression rate $\dotε$, and that the bulk viscosity $p/\dotε$ diverges upon jamming. A scaling analysis determines the critical exponents associated with the compression-driven jamming transition. Our results suggest that stress-isotropic, compression-driven, jamming may be in the same universality class as stress-anisotropic, shear-driven, jamming.
