On the edge of an inverse cascade.

@article{Seshasayanan2014OnTE,
  title={On the edge of an inverse cascade.},
  author={Kannabiran Seshasayanan and Santiago J. Benavides and Alexandros Alexakis},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2014},
  volume={90 5-1},
  pages={
          051003
        }
}
We demonstrate that systems with a parameter-controlled inverse cascade can exhibit critical behavior for which at the critical value of the control parameter the inverse cascade stops. In the vicinity of such a critical point, standard phenomenological estimates for the energy balance will fail since the energy flux towards large length scales becomes zero. We demonstrate this using the computationally tractable model of two-dimensional (2D) magnetohydrodynamics in a periodic box. In the… 

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