  We investigated the spontaneous deformation and fission of a tetradecane
droplet containing palmitic acid (PA) on a stearyltrimethylammonium chloride
(STAC) aqueous solution. In this system, the generation and rupture of the gel
layer composed of PA and STAC induce the droplet deformation and fission.To
investigate the characteristics of the droplet-fission dynamics, we obtained
the time series of the number of the droplets, and confirmed that the number
has a peak at a certain STAC concentration. Since the fission of the droplet
should be led by the deformation, we analyzed four parameters which may relate
to the fission dynamics from the spatio-temporal correlation of the
droplet-boundary velocity. As a result, we found that the faster deformation
would be the key factor for the fission dynamics.
