Peshkov Anton, Teitel S
Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA.
Phys Rev E. 2021 Apr;103(4):L040901. doi: 10.1103/PhysRevE.103.L040901.
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 ε[over ̇], 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 ε[over ̇], and that the bulk viscosity p/ε[over ̇] 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.
我们对二维和三维空间中无热、过阻尼、无摩擦球体的系统进行了数值研究，就像在非布朗悬浮液中那样。以固定速率ε̇对系统进行各向同性压缩时，我们研究了堵塞转变时的临界行为。有限的压缩速率引入了一个控制时间尺度，这使得人们能够探究与堵塞相关的临界时间尺度。正如之前在稳态剪切驱动堵塞中所发现的那样，我们发现对于压缩驱动堵塞，压力作为堆积分数ϕ和压缩速率ε̇的函数遵循临界标度关系，并且在堵塞时体黏度p/ε̇发散。标度分析确定了与压缩驱动堵塞转变相关的临界指数。我们的结果表明，应力各向同性的压缩驱动堵塞可能与应力各向异性的剪切驱动堵塞属于同一普适类。
