Exact solutions for the static dewetting of two-dimensional charged conducting droplets on a substrate

A one parameter family of analytical solutions for the equilibrium shapes of two-dimensional charged conducting droplets on a substrate with 90 degrees contact angle is presented. The solutions exhibit the tendency to dewet at the droplet centre as the electrostatic stress increases. Such electrostatic deformations are believed to underlie the recently observed stick-slip dynamics of nanodroplets on substrates. Our theoretical results complement a number of other recent analytical and numerical studies of this phenomenon. (C) 2015 AIP Publishing LLC.