Fig. 2: Coexistence of multiple temperatures in the active crystal.
From: Multiple temperatures and melting of a colloidal active crystal

Map in the reciprocal space (qx, qy) of the a longitudinal \({k}_{{{{{\bf{q}}}}}}^{\parallel }\) and b transverse \({k}_{{{{{\bf{q}}}}}}^{\perp }\) eigenvalues of the dynamical matrix and c their sum obtained numerically for a dipolar two dimensional crystal. Map in the reciprocal space (qx, qy) of the d longitudinal \({k}_{{{{{\bf{q}}}}}}^{\parallel }\) and e transverse \({k}_{{{{{\bf{q}}}}}}^{\perp }\) eigenvalues and f their sum obtained in the experiment for the passive crystal. g Relative active temperature TA/T as a function of the eigenvalues \({k}_{{{{{\bf{q}}}}}}^{s}\) for experiments at short persistence time τ = 0.1s (points) and theoretical fit (continuous line). Error bars correspond to the standard deviation. Same quantities are reported in h for experiments at τ = 0.6 s. i, j report same plots in simulations of AOUPs. For large τ (h, j), the active data are well fitted by a hyperbola according to the theory for AOUPs. For low τ (g, i), the quantity TA/T is nearly constant.