English: Supplementary Movie 2 Irreversible actuation of water droplets between two layered GCNM electrodes. We designed a novel electrode system with two water droplets and two GCNM electrodes, with one droplet per electrode, respectively, as shown in Fig. 5b. When an electrical field of 5 kV/cm was applied to the electrode system, the lower water droplet on the Cu electrode began stretching toward the GCNM, while the shape of the upper water droplet on the GCNM did not change in its shape. However, when the lower water droplet came into contact with the GCNM electrode at 5 kV/cm, the upper droplet abruptly passed through the GCNM mesh, as shown in Fig. 5b, due to the attractive and cohesive forces between the water drops. The electric field within the gap between the mesh and top of the droplet is greatly magnified, which cause the droplet at the bottom to touch the mesh on the upper size under a relatively small electric field. When the applied electric field was turned off, the merged water drop maintains this state without returning to the original states of the individual drops, thus showing an irreversible actuation mode.