Fig. 5: Numerical results on the range of validity of the scale invariance.
From: Scale invariance of cell size fluctuations in starving bacteria
The initial growth rate is fixed at \(\lambda (0)={\lambda }_{0}=0.03\ {\min }^{-1}\) unless otherwise stipulated. a Trajectories in the 〈v〉–CV space for different τμ (from 50 to \(150\ \min\)), with \({\tau }_{\lambda }=40\ \min\) fixed. The endpoint of each trajectory is indicated by a colored open circle. The black squares represent the states in steady growth conditions with the growth rate λ0 ranging from 0.01 to \(0.03\ {\min }^{-1}\). The dashed plateau indicates the initial CV at \({\lambda }_{0}=0.03\ {\min }^{-1}\). b The master curves of the 〈v〉-CV trajectories for different τλ. Those are obtained by taking the average of the CV values at each 〈v〉 over different τμ(>τλ). τλ ranges from 10 to \(90\ \min\). c Phase diagram. ×: the scale invariance breaks down. Blue ○: the scale invariance holds. Green △: near the boundary. Black dots: the scale invariance holds but the mean volume increases. d Pseudocolor plot of ρ for different τλ and τμ. See the main text for the definition of ρ. The black region indicates ρ = 0. The white line represents the transition line obtained from c. The boundaries (△) are not included in the region where the scale invariance breaks down.
