Hydrodynamic limit of the Kuramoto-Sakaguchi equation with inertia and noise effects

Tina Mai

Hydrodynamic limit of the Kuramoto-Sakaguchi equation with inertia and noise effects

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arxiv 2410.05113 v1 pith:NVKMG7QP submitted 2024-10-07 math.AP math-phmath.MP

Tina Mai This is my paper · ORCID

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keywords equationkuramoto-sakaguchieffectshydrodynamicinertialimitnoiseparabolic

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We consider the Kuramoto-Sakaguchi-Fokker-Planck equation (namely, parabolic Kuramoto-Sakaguchi, or Kuramoto-Sakaguchi equation, which is a nonlinear parabolic integro-differential equation) with inertia and white noise effects. We study the hydrodynamic limit of this Kuramoto-Sakaguchi equation. During showing this main result, as a support, we also prove a Hardy-type inequality over the whole real line.

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Polar chiral active matter as a motile, disordered Josephson array: Information supercurrents and Goldstone spin waves
cond-mat.soft 2025-12 unverdicted novelty 7.0 of 10

Polar chiral active particles map exactly onto a disordered Josephson junction array, and their 3D alignment torque is the damping term of the Landau-Lifshitz-Gilbert equation, giving rise to inertial spin waves.

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