Abstract
A phase diagram is mapped out for a “21/2”-dimensional vortex lattice model in which vortex filaments lie in a plane, while both the velocity field and the Green function are three-dimensional. Both positive and negative temperatures are considered. Various qualitative properties of turbulent states and of the super-fluid λ transition are well verified within the limitations of the model; the percolation properties of vortex transitions are exhibited; the differences between superfluid and classical vortex motion are highlighted, as is the importance of topological constraints in vortex dynamics; an earlier model of intermittency is verified.
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Chorin, A.J. Vortex phase transitions in 21/2 dimensions. J Stat Phys 76, 835–856 (1994). https://doi.org/10.1007/BF02188688
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DOI: https://doi.org/10.1007/BF02188688