# 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…

## One Citation

Steady states in dual-cascade wave turbulence

- Physics, MathematicsJournal of Physics A: Mathematical and Theoretical
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We study stationary solutions in the differential kinetic equation, which was introduced in Dyachenko A et al (1992 Physica D 57 96–160) for description of a local dual cascade wave turbulence. We…

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