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 \hatλ as the screening length. Whereas the limit \hatλ \to \infty corresponds to the global collapse of a self--gravitating fluid, for finite \hatλ 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.

5 pages, 3 figures, revised version with new Refs. added, matches version accepted for publication in PRL

References in corpus (3)

• Statistical mechanics and dynamics of solvable models with long-range interactions
• Dynamics of colloidal particles with capillary interactions
• Exact analytical solution of the collapse of self-gravitating Brownian particles and bacterial populations at zero temperature

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