Wave turbulence on the surface of a ferrofluid in a horizontal magnetic field
St\'ephane Dorbolo (GRASP), Eric Falcon (MSC)

TL;DR
This paper investigates wave turbulence on ferrofluid surfaces under horizontal magnetic fields, highlighting differences from normal field cases and confirming theoretical predictions about the inertial zone and dispersion relations.
Contribution
It provides new experimental insights into magnetic wave turbulence on ferrofluids with horizontal fields, contrasting with previous studies on normal fields.
Findings
Inertial zone is significantly larger under horizontal magnetic fields.
Dispersion relation measurements differ from normal field cases.
Theoretical predictions accurately describe the observed inertial zone.
Abstract
We report observations of wave turbulence on the surface of a ferrofluid submitted to a magnetic field parallel to the fluid surface. The magnetic wave turbulence shows several differences compared to the normal field case reported recently. The inertial zone of the magnetic wave turbulence regime is notably found to be strongly increased with respect to the normal field case, and to be well described by our theoretical predictions. The dispersion relation of linear waves is also measured and differs from the normal field case due to the absence of the Rosensweig instability.
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