Abstract
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.
Highlights
Jammed particulate systems are ubiquitous in our lives
III B, we extend the analysis to a broad range of pressure and reveal the phase diagram
We will show that the system exhibits two distinct jammed phases, which are separated by a first-order phase transition
Summary
Jammed particulate systems are ubiquitous in our lives. Emulsions, colloidal suspensions, and granular materials are examples of jammed systems, where constituent particles are randomly jammed [1]. One of the simplest models for jammed particulate systems is the assemblies of athermal particles that interact via shortrange repulsive potentials. When we compress these particles from the low density, the system gains rigidity at the density called the jamming point. This phenomenon is known as the jamming transition established by many previous works, e.g., Ref.
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