Shock waves in capillary collapse of colloids: A model system for two-dimensional screened Newtonian gravity

Abstract

Using Brownian dynamics simulations, density functional theory, and analytical perturbation theory we study the collapse of a patch of interfacially trapped, micrometer-sized colloidal particles, driven by long-ranged capillary attraction. This attraction is formally analogous to two-dimensional (2D) screened Newtonian gravity with the capillary length ˆλ as the screening length. Whereas the limit ˆλ→∞ corresponds to the global collapse of a self-gravitating fluid, for finite ˆλ we predict theoretically and observe in simulations a ringlike density peak at the outer rim of a disclike patch, moving as an inbound shock wave. Possible experimental realizations are discussed.