Isotopological relaxation, coherent structures, and Gaussian turbulence in two‐dimensional (2‐D) magnetohydrodynamics (MHD)

@article{Isichenko1994IsotopologicalRC,
  title={Isotopological relaxation, coherent structures, and Gaussian turbulence in two‐dimensional (2‐D) magnetohydrodynamics (MHD)},
  author={Michael B. Isichenko and Andrei V. Gruzinov},
  journal={Physics of Plasmas},
  year={1994},
  volume={1},
  pages={1802-1816}
}
The long‐time relaxation of ideal two‐dimensional (2‐D) magnetohydrodynamic (MHD) turbulence subject to the conservation of two infinite families of constants of motion—the magnetic and the ‘‘cross’’ topology invariants—is examined. The analysis of the Gibbs ensemble, where all integrals of motion are respected, predicts the initial state to evolve into an equilibrium, stable coherent structure (the most probable state) and decaying Gaussian turbulence (fluctuations) with a vanishing, but… 

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