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Non-linear saturation of g-modes in proto-neutron stars: quieting the acoustic engine

2008/02/29 by Nevin N. Weinberg, Eliot Quataert · 4 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Gamma-ray bursts and supernovae #Pulsars and Gravitational Waves Research #astro-ph

paper · pdf · doi:10.1111/j.1745-3933.2008.00486.x

published as Mon. Not. Roy. Astron. Soc. 387 (2008) L64-68 · 6 pages, 3 figures, fixed minor typos, matches version published in MNRAS Letters

openalex publication_date 2008/05/12 · arxiv created 2008/06/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Abstract According to Burrows et al.'s acoustic mechanism for core-collapse supernova explosions, the primary, l= 1, g-mode in the core of the proto-neutron star is excited to an energy of ∼1050erg and damps by the emission of sound waves. Here we calculate the damping of the primary mode by the parametric instability, i.e. by non-linear, three-mode coupling between the low-order primary mode and pairs of high-order g-modes. We show that the primary mode is strongly coupled to highly resonant, neutrino damped pairs with n≳ 10; such short wavelength interactions cannot be resolved in the simulations. We find that the parametric instability saturates the primary mode energy at ∼1048erg, well below the energy needed to drive an explosion. We therefore conclude that acoustic power is unlikely to be energetically significant in core-collapse supernova explosions.

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