Regime diagram of the experiments. (a) Plotted in the parameter space of acceleration and frequency. The four regimes (in different marker shapes) are as follows: Ia, no change (crosses); Ib, percolation (squares); II, transition (triangles); and III, flame (circles). These are classified according to the relative amplitude δ z′ (see text for details). The marker sizes (and colors) correspond to the magnitude of δ z′ (in mm) at t = 9.9 s and are classified as follows. Squares and crosses in black δ z′ < 0.01. Squares in blue 0.01 ≤ δ z′ < 0.05 and in purple 0.05 ≤ δ z′ < 0.1. Triangles in light blue 0.1 ≤ δ z′ < 0.15 and in green 0.15 ≤ δ z′ < 0.6. Circles in orange 0.6 ≤ δ z′ < 1.3, in pink 1.3 ≤ δ z′ < 2.0, and in red δ z′ ≥ 2.0. The black, blue, and red broken lines indicate the critical acceleration of 3.4 m/s2 (corresponds to a dimensionless acceleration Γc = 0.58, where Γ is defined by Equation 3), the critical shaking strength S
c = 0.01 (corresponds to Equation 6 where S is defined in Equation 5), and the critical jerk strength J
c = 290 (corresponds to Equation 8 with J defined in Equation 7), respectively. The red colored domain indicates the conditions under which these three dimensionless parameters are supercritical (i.e., Γ > Γc, S > S
c, J > J
c). (b) Same as (a) but using dimensionless parameters Γ and f′ (Equation 4).