2011/11/30 by Jan Friedrich, R. Friedrich, Rudolf Friedrich
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cascade #Classical mechanics #Energy cascade #Fluid Dynamics and Turbulent Flows #Forcing (mathematics) #Geometry #Inverse #Mathematics #Mechanics #Physics #Quantum mechanics #Rotor (electric) #Solar and Space Plasma Dynamics #Superposition principle #Turbulence #Vortex #Vortex stretching #Vorticity #cond-mat.stat-mech #math-ph #math.MP #nlin.CD #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.88.053017
published as Phys. Rev. E 88, 053017 (2013) · 14 pages, 21 figures
arxiv created 2013/11/11 · openalex publication_date 2013/11/22 · arxiv updated 2013/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We generalize Kirchhoff's point vortex model of two-dimensional fluid motion to a rotor model which exhibits an inverse cascade by the formation of rotor clusters. A rotor is composed of two vortices with like-signed circulations glued together by an overdamped spring. The model is motivated by a treatment of the vorticity equation representing the vorticity field as a superposition of vortices with elliptic Gaussian shapes of variable widths, augmented by a suitable forcing mechanism. The rotor model opens up the way to discuss the energy transport in the inverse cascade on the basis of dynamical systems theory.