Abstract
We develop two measures to characterize the geometry of patterns exhibited by the state of spiral defect chaos, a weakly turbulent regime of Rayleigh-Bénard convection. These describe the packing of contiguous stripes within the pattern by quantifying their length and nearest-neighbor distributions. The distributions evolve towards a unique distribution with increasing Rayleigh number that suggests power-law scaling for the dynamics in the limit of infinite system size. The techniques are generally applicable to patterns that are reducible to a binary representation.
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Krishan, K. Importance of packing in spiral defect chaos. Pramana - J Phys 70, 669–678 (2008). https://doi.org/10.1007/s12043-008-0028-x
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DOI: https://doi.org/10.1007/s12043-008-0028-x