We numerically examine binary-sized granular mixtures confined between two parallel walls subjected to vertical vibration using the discrete element method. For a size ratio of $3$ between large and small particles, we study the structure of large particles in regions where the combined two-dimensional packing fractions of both particle sizes surpass $1$. When the fraction of small particles is small, segregation of the large particles appears. In contrast, as the fraction of small particles increases, an effective repulsion between the large particles emerges over distances greater than the large particle diameter, suppressing their segregation. Further, this effective repulsion also induces a hexagonal phase of the large particles at packing fractions lower than in mono-component systems. This work will provide a fresh insight into granular physics, prompting further experimental and theoretical study.
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Nakai et al. (2024) studied this question.
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