Maximal dendrite size in monolayer systems

We study the nonequilibrium growth of the liquid-condensed phase of monolayers subject to a pressure-induced phase transition. Because of dipolar electrostatic interactions, the Mullins-Sekerka instability is significantly modified at small wave vectors. We argue that this will have a dramatic effect on possible dendritic growth in these systems, leading to a maximum allowed size for the dendrite tip and a crossover in the velocity versus driving curve at small undercooling.