413 citations · 4.5k across the 65 of their papers we have counts for
10 papers · 1 filter
Harmonic moment dynamics in Laplacian growth
Alexander Leshchiner, Matthew Thrasher, Mark B. Mineev-Weinstein +1
Harmonic moments are integrals of integer powers of z = x+iy over a domain. Here the domain is an exterior of a bubble of air growing in an oil layer between two horizontal closely…
Fjords in viscous fingering: Selection of width and opening angle
Leif Ristroph, Matthew Thrasher, Mark B. Mineev-Weinstein +1
Our experiments on viscous fingering of air into oil contained between closely spaced plates reveal two selection rules for the fjords of oil that separate fingers of air. (Fjords…
Resonance tongues and patterns in periodically forced reaction-diffusion systems
Anna L. Lin, Aric Hagberg, Ehud Meron +1
Various resonant and near-resonant patterns form in a light-sensitive Belousov-Zhabotinsky (BZ) reaction in response to a spatially-homogeneous time-periodic perturbation with ligh…
Stages of Relaxation of Patterns and the Role of Stochasticity on the Final Stage
S. Hu, D. I. Goldman, D. J. Kouri +3
The disorder function formalism [Gunaratne et.al., Phys. Rev. E, {\bf 57}, 5146 (1998)]^M is used to show that pattern relaxation in an experiment on a vibrated layer of brass bead…
Persistent holes in a fluid
Florian S. Merkt, Robert D. Deegan, Daniel I. Goldman +2
We observe stable holes in a vertically oscillated 0.5 cm deep aqueous suspension of cornstarch for accelerations a above 10g. Holes appear only if a finite perturbation is applied…
Lattice Dynamics and Melting of a Nonequilibrium Pattern
Daniel I. Goldman, M. D. Shattuck, Sung Joon Moon +2
We present a new description of nonequilibrium square patterns as a harmonically coupled crystal lattice. In a vertically oscillating granular layer, different transverse normal mo…
Oscillating Fracture in Rubber
Robert D. Deegan, Paul J. Petersan, M. Marder +1
We have found an oscillating instability of fast-running cracks in thin rubber sheets. A well-defined transition from straight to oscillating cracks occurs as the amount of biaxial…
Characterization of the Emergence of Order in an Oscillated Granular Layer
Daniel I. Goldman, Gemunu H. Gunaratne, M. D. Shattuck +4
The formation of textured patterns has been predicted to occur in two stages. The first is an early time, domain-forming stage with dynamics characterized by a disorder function $\…
Four-phase patterns in forced oscillatory systems
A. L. Lin, A. Hagberg, A. Ardelea +3
We investigate pattern formation in self-oscillating systems forced by an external periodic perturbation. Experimental observations and numerical studies of reaction-diffusion syst…
Wavelength Scaling and Square/Stripe and Grain Mobility Transitions in Vertically Oscillated Granular Layers
Paul B. Umbanhowar, Harry L. Swinney
Laboratory experiments are conducted to examine granular wave patterns near onset as a function of the container oscillation frequency f and amplitude A, layer depth H, and grain d…