Modification to the Jeans criterion by external tides: Anisotropic fragmentation and formation of filaments
arxiv(2024)
摘要
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_ Jeans1/(1 + λ_0' / 4 π G ρ_0)^1/2 .
She further concludes that the Jeans mass is m_ incorrect'=m_ Jeans
( 1/(1 + λ_0' / 4 π G 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 ≈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.
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