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Constructing bispectral dual Hahn polynomials
Using the concept of -operator and the classical discrete family
of dual Hahn, we construct orthogonal polynomials which are also
eigenfunctions of higher order difference operators
Simulations of Pattern Formation in Vibrated Granular Media
We present simulations of peak pattern formation in vibrated two-dimensional
(2D) granulates and measure the dispersion relation of the pattern for various
frequencies, accelerations, cell sizes, and layer heights. We report the first
quantitative data from numerical simulations showing an interesting dependence
of the pattern wavelength on the acceleration and the system size. Our results
are related to recent experimental findings and theoretical predictions for
gravity waves.Comment: 6 pages PS-file including figures, (version accepted at Europhys.
Lett. 26.10.96
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