标题： 软颗粒粒子中速度依赖摩擦引起的振动：惯性的影响 显示英文标题

标题： Quaking in Soft Granular Particles with Speed-dependent Friction: Effect of Inertia

摘要： 我们之前的数值模拟[C.-E. Tsai 等，物理评论研究 6, 023065 (2024)]表明，在准静态剪切下，对于软颗粒，引入速度依赖的摩擦是再现实验室实验中发现的速率依赖的粘滑波动的必要条件[J.-C. Tsai 等，物理评论快报 126, 128001 (2021)]。 作为延续，这里我们采用在广泛驱动速度范围内的模拟来检验颗粒惯性在震颤动力学中的作用。 我们确定了临界体积分数$\phi_{\text{c}}$，低于该体积分数时系统表现出惯性流而非准静态流。 发现震颤仅发生在特征速度的中间范围（$V_{\text{c}}$，在此之后颗粒间摩擦下降）以及体积分数高于$\phi_{\text{c}}$的情况下。 我们通过状态图总结了发现，这些状态图显示随着驱动速度的增加，震颤区域逐渐缩小，并且在极高剪切速率下震颤消失。 显示英文摘要

摘要： Our previous numerical simulation [C.-E. Tsai et al., Physical Review Research 6, 023065 (2024)] has shown that, for soft granular particles under quasistatic shearing, incorporating a speed-dependent friction is a necessary condition for reproducing the rate-dependent stick-slip fluctuations that have been found in laboratory experiments [J.-C. Tsai et al., Physical Review Letters 126, 128001 (2021)]. As a continuation, here we employ the simulation at a wide range of driving speeds to examine how grain inertia could also play a role in the quaking dynamics. We identify the critical volume fraction $\phi_{\text{c}}$ below which the system exhibits inertial flow as opposed to quasistatic flow. The quaking is found to occur only within the intermediate range of the characteristic speed ($V_{\text{c}}$, beyond which the inter-particle friction declines) and at volume fractions above $\phi_{\text{c}}$. We conclude our findings by presenting state diagrams which show the progressive narrowing of the quaking regime as the driving speed increases and the disappearance of quaking at an extremely high shear rate.