Modification to the Jeans criterion by external tides: Anisotropic fragmentation and formation of filaments
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917604516429824 |
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| author | Li, Guang-Xing |
| author_facet | Li, Guang-Xing |
| contents | The Jeans criterion sets the foundation of our understanding of gravitational collapse. Jog studied the fragmentation of gas under external tides and derived a dispersion relation $$
l' = l_{\rm Jeans} \frac{1} {(1 + λ_0' / 4 πG ρ_0)^{1/2}} \;. $$ She further concludes that the Jeans mass is $m_{\rm incorrect}'=m_{\rm Jeans} ( 1/(1 + λ_0' / 4 πG ρ_0)^{3/2})$. We clarify that due to the inhomogeneous nature of tides, this characteristic mass is incorrect. Under weak tides, the mass is $m \approx ρ\, l_1 l_2 l_3$, where the modifications to Jeans lengths along all three dimensions need to be considered; when the tide is strong enough, collapse can only occur once 1 or 2 dimensions. In the latter case, tides can stretch the gas, leading to the formation of filaments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02612 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modification to the Jeans criterion by external tides: Anisotropic fragmentation and formation of filaments Li, Guang-Xing Astrophysics of Galaxies The Jeans criterion sets the foundation of our understanding of gravitational collapse. Jog studied the fragmentation of gas under external tides and derived a dispersion relation $$ l' = l_{\rm Jeans} \frac{1} {(1 + λ_0' / 4 πG ρ_0)^{1/2}} \;. $$ She further concludes that the Jeans mass is $m_{\rm incorrect}'=m_{\rm Jeans} ( 1/(1 + λ_0' / 4 πG ρ_0)^{3/2})$. We clarify that due to the inhomogeneous nature of tides, this characteristic mass is incorrect. Under weak tides, the mass is $m \approx ρ\, l_1 l_2 l_3$, where the modifications to Jeans lengths along all three dimensions need to be considered; when the tide is strong enough, collapse can only occur once 1 or 2 dimensions. In the latter case, tides can stretch the gas, leading to the formation of filaments. |
| title | Modification to the Jeans criterion by external tides: Anisotropic fragmentation and formation of filaments |
| topic | Astrophysics of Galaxies |
| url | https://arxiv.org/abs/2403.02612 |