Dripping of a crystal

Dripping is usually associated with fluid motion, but here we describe the analogous phenomenon of a 3He crystal growing and melting under the influence of surface tension and gravity. The pinch-off of the crystal is described by a purely geometric equation of motion, viscous dissipation or inertia being negligible. In analogy to fluid pinch-off, the minimum neck radius R{n} goes to zero like a power law, but with a new scaling exponent of 12 . However, for a significant part of the neck's macroscopic evolution the scaling exponent is found to be much closer to 13 . This observation may be consistent with simulations and theoretical results showing a very slow approach to the asymptotic pinch solution, making the "critical region" very small, both in time and space. After pinch-off, we observe a similar 13 -scaling for the recoil of a crystal tip, both in simulation and experiment. For very early times our experiments are consistent with an approximate theory predicting an asymptotic regime with exponent 12 . Future experiments must show whether the transient 13 scaling is a universal feature of crystal melting, or perhaps an artifact of our experimental setup.