Reference: Physical
Review E 105, L063101 (2022) 
URL: https://link.aps.org/doi/10.1103/PhysRevE.105.L063101
Abstract:
We report on three-dimensional direct numerical simulation of
wave turbulence on the free surface of a magnetic fluid
subjected to an external horizontal magnetic field. A transition
from capillary-wave turbulence to anisotropic magneto-capillary
wave turbulence is observed for an increasing field. At high
enough field, wave turbulence becomes highly anisotropic,
cascading mainly perpendicularly to the field direction, in good
agreement with the prediction of a phenomenological model, and
with anisotropic Alfvén wave turbulence. Although surface waves
on a magnetic fluid are different from Alfvén waves in plasma, a
strong analogy is found with similar wave spectrum scalings and
similar magnetic-field dependent dispersionless wave velocities.