Swinney conducts research on instabilities, chaos, and
pattern formation in diverse systems, including fluid, chemical, and granular media. Swinney together with his students, postdocs, and other collaborators have: • determined the decay rate of order parameter fluctuations for fluids near the critical point • observed a transition to chaos—deterministic yet nonperiodic behavior—in experiments on a fluid flow • characterized chaos from time series data by computing the largest Lyapunov exponent (rate of loss of predictability) and the
mutual information (general dependence of two variables) • discovered multiple transitions to different patterns of fluid flow between concentric independently rotating cylinders • designed a laboratory experiment that yielded a stable vortex for conditions mimicking those on Jupiter. This result provides a plausible explanation of the stability of Jupiter's Great Red Spot, which was first observed by
Robert Hooke in 1664. • observed the emergence of a spatial pattern in a chemical system, as predicted in 1952 by
Alan Turing • determined the scaling of power dissipated in strongly turbulent flow between concentric rotating cylinders • observed anomalous diffusion and Lévy flights in a fluid flow • discovered localized structures, dubbed "oscillons", in an oscillating granular layer; oscillons were subsequently found in many dynamical systems. The granular experiments also investigated various extended spatial patterns, shock waves, and fluctuations. • observed resonant pattern formation with frequency locking in chemical systems • found fractal cascades of waves on the edges of leaves, flowers, and garbage bags • found a resonance in internal wave boundary currents generated by tidal flow on a slope; this resonance apparently selects the angle (typically three degrees) of the continental slopes of the oceans • discovered a new protein, Slf, which is produced by neighboring colonies of Paenibacillus dendritiformis bacteria. Slf is lethal to bacteria near the edge of a colony that faces another P. dendritiformis colony. • found that fluctuations in the number N of bacteria swimming in a volume varied as N^(3/4), in contrast to the N^(1/2) scaling of fluctuations for systems in thermodynamic equilibrium ==Other==