The Formation of Oceanic Eddies in Symmetric and Asymmetric Jets. Part I: Early Time Evolution and Bulk Eddy Transports

1995 ◽  
Vol 25 (9) ◽  
pp. 1959-1979 ◽  
Author(s):  
Andrew B. G. Bush ◽  
James C. McWilliams ◽  
W. Richard Peltier
2019 ◽  
Vol 50 (3) ◽  
pp. 1358-1369
Author(s):  
Mary E. Story ◽  
Bryan A. Webler

2020 ◽  
Vol 125 (1) ◽  
Author(s):  
Alex C. Fletcher ◽  
Chris Crabtree ◽  
Joseph Huba ◽  
Gurudas Ganguli ◽  
Carl Siefring

2020 ◽  
Vol 86 (4) ◽  
Author(s):  
Muni Zhou ◽  
Nuno F. Loureiro ◽  
Dmitri A. Uzdensky

We report on an analytical and numerical study of the dynamics of a three-dimensional array of identical magnetic flux tubes in the reduced-magnetohydrodynamic description of the plasma. We propose that the long-time evolution of this system is dictated by flux-tube mergers, and that such mergers are dynamically constrained by the conservation of the pertinent (ideal) invariants, viz. the magnetic potential and axial fluxes of each tube. We also propose that in the direction perpendicular to the merging plane, flux tubes evolve in a critically balanced fashion. These notions allow us to construct an analytical model for how quantities such as the magnetic energy and the energy-containing scale evolve as functions of time. Of particular importance is the conclusion that, like its two-dimensional counterpart, this system exhibits an inverse transfer of magnetic energy that terminates only at the system scale. We perform direct numerical simulations that confirm these predictions and reveal other interesting aspects of the evolution of the system. We find, for example, that the early time evolution is characterized by a sharp decay of the initial magnetic energy, which we attribute to the ubiquitous formation of current sheets. We also show that a quantitatively similar inverse transfer of magnetic energy is observed when the initial condition is a random, small-scale magnetic seed field.


1993 ◽  
Vol 08 (21) ◽  
pp. 3721-3745 ◽  
Author(s):  
K. URBANOWSKI

Approximate formulae are given for the effective Hamiltonian H||(t) governing the time evolution in a subspace ℋ|| of the state space ℋ. The properties of matrix elements of H||(t) and the eigenvalue problem for H||(t) are discussed in the case of two-dimensional ℋ||. The eigenvectors of H||(t) for the short time region are found to be different from those for the long time region. The decay law of particles described by the eigenvectors of H||(t) is shown to have the form of the exponential function multiplied by some time-independent factor, equal to 1 only in the case of the [Formula: see text]-invariant theory. Some general properties of the matrix elements of H||(t) are tested in the Lee model.


2013 ◽  
Vol 9 (2) ◽  
pp. 315-318 ◽  
Author(s):  
C.C. Kuranz ◽  
R.P. Drake ◽  
C.M. Huntington ◽  
C.M. Krauland ◽  
C.A. Di Stefano ◽  
...  

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