Vortex equilibria in turbulence theory and quantum analogues

DOI10.1016/0167-2789(91)90136-WzbMath0736.76025OpenAlexW2082207673MaRDI QIDQ1181340

Alexandre Joel Chorin, James H. Akao

Publication date: 27 June 1992

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90136-w

zbMATH Keywords

entropysuperfluidityturbulenceincompressible flowvortex filamentsKosterlitz-Thouless transitionKolmogorov spectrumvortex equilibriaquantum vortex system

Mathematics Subject Classification ID

Turbulence (76F99)

Related Items (10)

The point vortex model for the Euler equation ⋮ Vortex phase transitions in \(2\frac 12\) dimensions ⋮ A vortex model with superfluid and turbulent percolation ⋮ Asymptotic equations for the stretching of vortex filaments in a background flow field ⋮ Vorticity intensification and transition to turbulence in the three- dimensional Euler equations ⋮ Explicit inertial range renormalization theory in a model for turbulent diffusion ⋮ On the motion of slender vortex filaments ⋮ An asymptotic theory for the nonlinear instability of antiparallel pairs of vortex filaments ⋮ Turbulence calculations in magnetization variables ⋮ Equilibrium statistics of a vortex filament with applications

Cites Work

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• Constrained random walks and vortex filaments in turbulence theory
• Hairpin removal in vortex interactions
• Scaling laws in the vortex lattice model of turbulence
• The evolution of a turbulent vortex
• Turbulence: An old challenge and new perspectives
• The pivot algorithm: a highly efficient Monte Carlo method for the self-avoiding walk.
• On the topology of a polymer ring
• Turbulence and vortex stretching on a lattice
• The degree of knottedness of tangled vortex lines
• On the Convergence of Discrete Approximations to the Navier-Stokes Equations

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