Fig. 5: Time–frequency analysis results at \(E=34\) kcal mol\({}^{-1}\). | Communications Chemistry

Fig. 5: Time–frequency analysis results at \(E=34\) kcal mol\({}^{-1}\).

From: Stable chaos and delayed onset of statisticality in unimolecular dissociation reactions

Fig. 5

a Total number of visitations (normalized) in the nonlinear frequency ratio space \(({f}_{1},{f}_{2})\equiv ({\Omega }_{1}/{\Omega }_{3},{\Omega }_{2}/{\Omega }_{3})\) for trajectories dissociating between \((3.5,4.5)\) ps for varying coupling strengths \(\epsilon\). b As in a, but for trajectories that remain undissociated upto \(40\) ps. Note that the plots are on a \({\mathrm{log}}_{{\rm{e}}}\) scale and locking near a junction \({{\mathcal{M}}}_{0,l^{\prime},-m^{\prime} }^{l,0,-m}\) implies \(({f}_{1},{f}_{2})=(m/l,m^{\prime} /l^{\prime})\). c, d Distributions of the longest locking times and the total locking times, respectively, near various junctions for \(\epsilon =0.1\) (blue) and \(\epsilon =0.4\) (orange) corresponding to trajectories dissociating between \((3.5,4.5)\) ps. e, f Same as in c, d for trajectories that remain undissociated upto \(40\) ps. Note that in e, f the y-axis are on a log scale.

Back to article page