A vortex model with superfluid and turbulent percolation |
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Authors: | Alexandre Joel Chorin |
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Institution: | (1) Institute for Advanced Study, 08540 Princeton, New Jersey;(2) Present address: Department of Mathematics, University of California, 94720 Berkeley, California |
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Abstract: | Simple lattice vortex models are presented that exhibit vortex percolation along lines in a temperature/chemical potential plane. Parts of these lines can be identified with the percolation threshold at the inertial range of turbulence, and other parts are analogous to the transition in a three-dimensionalXY model that may model the . transition in superfluidity. Flory exponents at percolation are calculated; for nonnegative temperatures, their values approximate the standard Flory value, and are approximately constant along the transition lines, in agreement with recent conjectures. Conclusions regarding coherent structures in turbulence are also reached. |
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Keywords: | Vortex models XY model turbulence superfluids Flory exponent |
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