2020/09/21 by Yusuke Hara, Hideyuki Mizuno, Atsushi Ikeda
Materials Science · Mathematics · Physics and Astronomy · #Binary number #Composite material #Condensed matter physics #Critical point (mathematics) #Dispersity #Elastic modulus #Geometry #Jamming #Material Dynamics and Properties #Materials science #Mathematics #Moduli #Phase (matter) #Phase diagram #Phase transition #Physics #Pickering emulsions and particle stabilization #Plane (geometry) #Polymer chemistry #Quantum mechanics #Scaling #Statistical physics #Theoretical and Computational Physics #Thermodynamics #Transition point #cond-mat.dis-nn #cond-mat.mtrl-sci #cond-mat.soft
paper · pdf · doi:10.1103/physrevresearch.3.023091
published as Phys. Rev. Research 3, 023091 (2021) · 10 pages, 13 figures
openalex created_date 2020/09/08 · arxiv created 2020/09/21 · openalex publication_date 2021/05/03 · arxiv updated 2021/05/12 · openalex updated_date 2026/08/06
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. Interestingly, the finite size scaling shows the transition is similar to the first-order transition in the random-field Ising model. 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. Finally, we show the scaling laws of the elastic moduli in each jammed phase are not in consistent with those in the monodisperse systems.