Figure 7.

Numerical results in the case of fixed radii ${\overline{R}}_A=1$ and $1/\lambda =-0.7$. (A): The energy of interaction $\mathcal{U}$ (black triangles) between the borders as a function of the radii ${\overline{R}}_B$. As reference, some catenoidal points have been identified along the way: $\mathbf{a}({\overline{R}}_B=1.5)$, $\mathbf{b}({\overline{R}}_B=5)$, and $\mathbf{c}({\overline{R}}_B=10)$. The distribution of the curvature ${\overline{K}}_0$ and the torque $\overline{m}$ have been depicted at the corresponding inset panel. (B): The radial force $F_{\rho }$, on the lower border as a function of $\overline{h}$, the distance of separation between the borders. The inset panel shown the radial force as a function of the area $\overline{A}$. The catenoid of maximal size reaches at ${\overline{R}}_B^{†}\approx 1.81$. Note that asymptotically, the area $\overline{A}\to 1/2$.