论文标题

剪切驱动的慢速颗粒颗粒:临界行为和有限尺寸缩放

Slow and fast particles in shear-driven jamming: critical behavior and finite size scaling

论文作者

Olsson, Peter

论文摘要

我们在两个维度上对非棕色颗粒的简单模型进行剪切驱动的模拟。通过检查不同密度和剪切速率的速度分布,我们发现存在两个不同过程的有力证据,分别以较慢和更快的粒子为主 - 过程缓慢和快速过程。剪切粘度的领先差异受快速过程的控制。在分布中对低速峰的身高和位置的检查表明,在临界缩放分析中,是校正到缩放项的慢速过程。我们进一步发现,远距离速度相关性主要是由于缓慢的过程,这意味着粘度发散和分化相关长度仅间接相关。

We do shear-driven simulations of a simple model of non-Brownian particles in two dimensions. By examining the velocity distribution at different densities and shear rates we find strong evidence for the existence of two different processes, respectively dominated by the slower and the faster particles -- the slow process and the fast process. The leading divergence in the shear viscosity is governed by the fast process. An examination of height and position of the low-velocity peak in the distribution demonstrates that it is the slow process that is responsible for the correction-to-scaling term in the critical scaling analysis. We further find that the long range velocity correlations are primarily due to the slow process which implies that the diverging viscosity and the diverging correlation length are only indirectly related.

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