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Updated: Jun 21, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Instability of the Rayleigh-Jeans spectrum in weak wave turbulence theory
Miguel Escobedo1, Manuel A Valle
1Departamento de Matemáticas, Universidad del País Vasco, Apartado 644, E-48080 Bilbao, Spain.
Abstract:
We study the four-wave kinetic equation of weak turbulence linearized around the Rayleigh-Jeans spectrum when the collision integral is associated with short-range interactions between nonrelativistic bosonic quasiparticles. The technique used for the analysis of the stability is based on the properties of the Mellin transform of the kernel in the integral equation. We find that any perturbation of the Rayleigh-Jeans distribution evolves toward low-momentum scales in such a form that when t-->infinity, all the particles occupy a sphere of radius arbitrary small.
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