Fig. 4.

Identifying the caging timescale in the absence of alignment. (a) The neighbors mean-square separation MSS_nn(t) as a function of the the time increment t becomes constant as p₀ is decreased across the liquid-solid transition, showing the onset of caging. (b) The inverse cage lifetime ${\tau }_{\mathit{\text{cage}}}^{-1}$ at J = 0 as a function of p₀ calculated as described in the text. The vertical line denotes the critical value $p_0^{\ast }$ of the J = 0 rigidity transition, while the horizontal dotted line is the asymptotic value ${\tau }_{\mathit{\text{free}}}^{-1}$ attained by ${\tau }_{\mathit{\text{cage}}}^{-1}$ in the gas phase.