Critical scaling of compression-driven jamming of athermal frictionless spheres in suspension

Critical scaling of compression-driven jamming of athermal frictionless spheres in suspension
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悬浮液中无热摩擦球体压缩驱动干扰的临界尺度

DOI:
10.1103/physreve.103.l040901
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发表时间:
2021
期刊:
影响因子:
2.4
通讯作者:
Teitel, S.
Teitel, S.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Peshkov, Anton;Teitel, S.

文献摘要

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我们在二维和三维中数值研究了一个无热、过阻尼、无摩擦的球体系统,就像在非布朗悬浮体中一样。以固定的速率对系统进行各向同性压缩,研究了干扰转变时的临界行为。有限压缩比引入了控制时间标度,允许探测与干扰相关的关键时间标度。与以前发现的稳态剪切驱动干扰一样,我们发现对于压缩驱动干扰,压力服从作为填充分数和压缩比的函数的临界标度关系,并且体积粘度在干扰时发散。比例分析确定与压缩驱动的干扰转变相关的临界指数。我们的结果表明,应力各向同性、压缩驱动干扰可能与应力各向异性、剪切驱动干扰具有相同的普适性。
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, 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 fractionand compression rate, and that the bulk viscositydiverges 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.