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arXiv 2009.01563cond-mat.softcond-mat.dis-nncond-mat.mtrl-sci
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大尺寸分散性堵塞颗粒二元混合物的相变

Phase transition in the binary mixture of jammed particles with large size dispersity

Yusuke Hara, Hideyuki Mizuno, Atsushi Ikeda

摘要:

颗粒体系具有堵塞相变和临界标度行为,但目前的研究仅限于(几乎)单分散体系。最近,一个大的尺寸分散性堵塞颗粒的二元混合物进行了研究,并提出了两个不同的堵塞相出现。在这里,我们对这个系统进行了深入的数值研究,特别关注的统计和有限尺寸的小颗粒的比例,参与刚性网络的影响。我们提出了强有力的证据表明,两个不同的堵塞阶段出现取决于两个物种,这是分开的一阶相变的压力和组成。在两相中的一相中,只有大颗粒被堵塞,而在另一相中,大小颗粒都被堵塞。我们还描述了压力-组成平面中的相图,其中一级相变线终止于临界点。此外,我们调查的力学性能的弹性模量超过相图,并发现弹性模量的不连续变化出现在整个相变。值得注意的是,尽管不连续,在每个堵塞相的弹性模量表现出相同的标度律的单分散系统。

英文摘要:

It has been well established that particulate systems show the jamming transition and critical scaling behaviors associated with it. However, our knowledge is limited to (nearly) monodisperse systems. Recently, a binary mixture of jammed particles with large size dispersity was studied, and it was suggested that two distinct jammed phases appeared. Here, we conduct a thorough numerical study on this system with a special focus on the statistics of and finite-size effects on the fraction of small particles that participate in the rigid network. We present strong evidence that two distinct jammed phases appear depending on the pressure and composition of two species, which are separated by the first-order phase transition. In one of two phases, only large particles are jammed, whereas both small and large particles are jammed in the other phase. We also describe the phase diagram in the pressure-composition plane, where the first-order phase transition line terminates at a critical point. In addition, we investigate the mechanical properties in terms of the elastic moduli over the phase diagram and find that discontinuous changes in elastic moduli emerge across the phase transition. Remarkably, despite the discontinuities, the elastic moduli in each jammed phase exhibit identical scaling laws to those in the monodisperse systems.

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