Transition from Spatiotemporal Chaos to Ideal Straight Rolls in Rayleigh-Benard Convection

Details Transition from Spatiotemporal Chaos to Ideal Straight Rolls in Rayleigh-Benard Convection Transition from Spatiotemporal Chaos to Ideal Straight Rolls in Rayleigh-Benard Convection

1997-02-20

arxiv.org/abs/patt-sol/9702003v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, including 6 inlined figures; submitted to Phys. Rev. Lett; See http://milou.msc.cornell.edu for related movies

Scientific paper

For Rayleigh-Benard convection in a square cell with a fluid of Prandtl number one, we report experimental results on the transition between a stationary pattern of ideal straight rolls (ISR) and the spatiotemporal chaotic state of spiral defect chaos (SDC). In contrast to experiments in circular geometries, we found ISR states below a particular value of the control parameter and SDC states above this value. By characterizing the pattern with a global measure, the pattern entropy, we found that the transition from SDC to ISR showed similarities to phase transitions in equilibrium finite-size systems.

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