Parametric study of the clustering transition in vibration driven granular gas system

Wu Qi-Lin^{1, 2}, Hou Mei-Ying³, Yang Lei¹, Wang Wei^{1, 2}, Yang Guang-Hui¹, Tao Ke-Wei¹, Chen Liang-Wen¹, Zhang Sheng^{1, †}

Left: the particle density distribution ρ(x) (black scatter). Middle: the cumulative distribution F(x) (black solid line), and the cumulative distribution function of a uniform function U(x) (red dotted line). Right: the front view of the cell with particles’ Voronoi volume fraction. For different simulation parameters L_x and N, (a) gas phase, (b) cluster phases, and (c) dense cluster are shown. (a) L_x = 75, N = 3000, (b) L_x = 80, N = 5000, (c) L_x = 30, N = 4000.