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Article
Phases of Granular Matter
An understanding of homogeneous nucleation of crystalline structure from a disordered medium such as a liquid remains an important unsolved problem in condensed matter physics. Guided by the results from a num...
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Chapter and Conference Paper
Non-Extensive Model for Turbulent Flow in a Rapidly Rotating Annulus
We have conducted experiments on turbulence in a rapidly rotating annular tank. The flow is driven by pum** fluid into the tank through a semi-circle of holes; the fluid flows out through a semi-circle of ho...
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Article
Buckling cascades in free sheets
Wavy leaves may not depend only on their genes to make their edges crinkle.
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Chapter
Velocity Correlations in Driven Two-Dimensional Granular Media
Simulations of volumetrically forced granular media in two dimensions produce states with nearly homogeneous density. In these states, long-range velocity correlations with a characteristic vortex structure de...
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Chapter
Resonant Pattern Formation in a Spatially Extended Chemical System
When an oscillatory nonlinear system is driven by a periodic external stimulus, the system can lock at rational multiples p : q of the driving frequency. The frequency range of this resonant locking at a given p ...
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Article
Convection and Diffusion in Patterns in Oscillated Granular Media
Motions of individual particles within the stripe and square patterns formed in oscillated granular media are studied using numerical simulations. Our event-driven molecular dynamics simulations yield standing...
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Chapter
Pattern Formation in Vertically Vibrated Granular Layers: Experiment and Simulation
We report on pattern formation in experiments and simulations of vertically vibrated granular layers. We find that initially flat vibrated layers lose stability to sub-harmonic standing wave patterns when the ...
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Article
Resonant pattern formation in achemical system
A periodic force applied to a nonlinear pendulum can cause the pendulum to become entrained at a frequency that is rationally related to the applied frequency, a phenomenon known as frequency-locking1. A recent t...
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Article
Localized excitations in a vertically vibrated granular layer
THE formation of two-dimensional patterns in biological, chemical and physical systems is often described by the nonlinear interaction of plane waves1. An alternative approach views patterns as ensembles of inte...
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Chapter
Onset and Beyond Turing Pattern Formation
Turing patterns — stationary chemical patterns that arise spontaneously from a homogeneous state as a consequence of competition between reaction and diffusion processes — have served as the basis for extensiv...
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Chapter and Conference Paper
Observation of anomalous diffusion and Lévy flights
Chaotic transport is studied experimentally in two-dimensional flow in a rapidly rotating annular tank. The flow consists of a chain of vortices sandwiched between two azimuthal jets. Automated image processin...
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Article
Experimental observation of self-replicating spots in a reaction–diffusion system
IN his classic 1952 paper, Turing1 suggested a possible connection between patterns in biological systems and patterns that could form spontaneously in chemical reaction–diffusion systems. Turing's analysis stimu...
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Chapter
Wenn das Turing wüßte
Wie entstehen der Hut einer Riesenalge, die Sporenmuster eines Schimmelpilzes oder die Farbmusterungen von Salamanderlarven? Dies sind nur einige der Fragen, die wir in den vorangegangenen Kapiteln auf unserem...
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Article
Transition from a uniform state to hexagonal and striped Turing patterns
CHEMICAL travelling waves have been studied experimentally for more than two decades1–5, but the stationary patterns predicted by Turing6 in 1952 were observed only recently7–9, as patterns localized along a band...
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Book and Conference Proceedings
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Article
Experiments on temporal and spatial chemical patterns
Two examples of bifurcation sequences observed in experiments on nonequilibrium reactions in continuous flow stirred reactors are discussed: one experiment demonstrates that bifurcation diagrams can serve as a...
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Article
Models of the Great Red Spot
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Article
Laboratory model of a planetary eastward jet
The concentration of eastward planetary currents into strong wavy jets is a major feature of the atmospheric general circulation (for example, the jet stream) and of oceanic currents (for example, the Gulf Str...
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Article
Laboratory simulation of Jupiter's Great Red Spot
Isolated large stable vortices have long been observed in the jovian atmosphere and more recently on Saturn. The existence of such stable vortices in strongly turbulent planetary atmospheres is a challenging p...
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Chapter
Instabilites and Chaos in Rotating Fluid
The following text summarizes the two lectures I presented at the Noto NATO Summer School. Both lectures were concerned with turbulence in rotating fluids, but from different points of view, and involving diff...
