Nonlinear Diffusion Models for Gravitational Wave Turbulence
Résumé
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 kf∼(t∗−t)3.296 , with t
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https://hal.science/hal-01897253
Soumis le : vendredi 22 octobre 2021-11:44:53
Dernière modification le : lundi 26 février 2024-11:22:14
Archivage à long terme le : dimanche 23 janvier 2022-19:26:49
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- HAL Id : hal-01897253 , version 1
- ARXIV : 1809.07623
- DOI : 10.1016/j.physd.2019.01.007
- INSPIRE : 1694825
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Sébastien Galtier, Sergey V. Nazarenko, Éric Buchlin, Simon Thalabard. Nonlinear Diffusion Models for Gravitational Wave Turbulence. Physica D: Nonlinear Phenomena, 2019, 390, pp.84-88. ⟨10.1016/j.physd.2019.01.007⟩. ⟨hal-01897253⟩
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