期刊
PHYSICA D-NONLINEAR PHENOMENA
卷 390, 期 -, 页码 84-88出版社
ELSEVIER
DOI: 10.1016/j.physd.2019.01.007
关键词
Wave turbulence; Diffusion model; Inverse cascade; Cosmology
资金
- Chaire D'Excellence IDEX (Initiative of Excellence)
- Universite de la C8te d'Azur, France
A fourth-order and a second-order nonlinear diffusion model in spectral space are proposed to describe gravitational wave turbulence in the approximation of strongly local interactions. We show analytically that the model equations satisfy the conservation of energy and wave action, and reproduce the power law solutions previously derived from the kinetic equations with a direct cascade of energy and an explosive inverse cascade of wave action. In the latter case, we show numerically by computing the second-order diffusion model that the non-stationary regime exhibits an anomalous scaling which is understood as a self-similar solution of the second kind with a front propagation following the law k(f) similar to (t(*) - t)(3.296) with t < t(*). These results are relevant to better understand the dynamics of the primordial universe where potent sources of gravitational waves may produce space-time turbulence. (C) 2019 Elsevier B.V. All rights reserved.
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