Fig. 4.

Relation between boundary curvature gradient and nonequilibrium fluxes. The integrated flux strength $\mathcal{F}$ depends solely on the curvature parameter $\chi$. Experiments and simulations for elliptical compartments with different eccentricities (filled symbols) and areas (color code) collapse on a master curve. The data gathered from experimentally recorded trajectories in elliptical compartments (framed crosses), as well as the simulations in complex shapes shown in Fig. 3, are also included here (framed diamonds). Experiments were performed in compartments of eccentricities ${ϵ}_{\alpha }\approx 0.92$, ${ϵ}_{\beta }\approx 0.55$, ${ϵ}_{\gamma }\approx 0.55$, and ${ϵ}_{\delta }\approx 0.92$ with compartment areas $A_{\alpha }\approx 14.23\times 10^4\hspace{0.17em}\mathrm{\mu }{\text{m}}^2$, $A_{\beta }\approx 19.09\times 10^4\hspace{0.17em}\mathrm{\mu }{\text{m}}^2$, $A_{\gamma }\approx 3.13\times 10^4\hspace{0.17em}\mathrm{\mu }{\text{m}}^2$, and $A_{\delta }\approx 3.11\times 10^4\hspace{0.17em}\mathrm{\mu }{\text{m}}^2$. The cross-over in the data at $\chi \approx 10^{-3}$ marks a transition from weak fluxes indistinguishable from noise with the available statistics to fully developed flux loops. The gray horizontal line and gray shaded area mark the average and SD, respectively, for circular compartments with the same areas as the ellipses and the same amount of statistics.