• Corpus ID: 212675171

Wave Turbulence in Self-Gravitating Bose Gases

@article{Skipp2020WaveTI,
  title={Wave Turbulence in Self-Gravitating Bose Gases},
  author={Jonathan Skipp and Victor S. L’vov and Sergey Nazarenko},
  journal={arXiv: Statistical Mechanics},
  year={2020}
}
We develop the theory of weak wave turbulence in systems described by the Schrodinger-Helmholtz equation in two and three dimensions. This model contains as limits both the familiar cubic nonlinear Schrodinger equation, and the Schrodinger-Newton equations, the latter being a nonrelativistic model of Fuzzy Dark Matter which has a nonlocal gravitational self-potential. We show that in the weakly-nonlinear limit the Schrodinger-Helmholtz equation has a simultaneous inverse cascade of particles… 

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