Core mass function in view of fractal and turbulent filaments and fibers
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912209290919936 |
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| author | Liu, Xunchuan Liu, Tie Mai, Xiaofeng Cheng, Yu Jiao, Sihan Jiao, Wenyu Liu, Hongli Zhang, Siju |
| author_facet | Liu, Xunchuan Liu, Tie Mai, Xiaofeng Cheng, Yu Jiao, Sihan Jiao, Wenyu Liu, Hongli Zhang, Siju |
| contents | We propose that the core mass function (CMF) can be driven by filament fragmentation. To model a star-forming system of filaments and fibers, we develop a fractal and turbulent tree with a fractal dimension of 2 and a Larson's law exponent ($β$) of 0.5. The fragmentation driven by convergent flows along the splines of the fractal tree yields a Kroupa-IMF-like CMF that can be divided into three power-law segments with exponents $α$ = $-0.5$, $-1.5$, and $-2$, respectively. The turnover masses of the derived CMF are approximately four times those of the Kroupa IMF, corresponding to a star formation efficiency of 0.25. Adopting $β=1/3$, which leads to fractional Brownian motion along the filament, may explain a steeper CMF at the high-mass end, with $α=-3.33$ close to that of the Salpeter IMF. We suggest that the fibers of the tree are basic building blocks of star formation, with similar properties across different clouds, establishing a common density threshold for star formation and leading to a universal CMF. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_17502 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Core mass function in view of fractal and turbulent filaments and fibers Liu, Xunchuan Liu, Tie Mai, Xiaofeng Cheng, Yu Jiao, Sihan Jiao, Wenyu Liu, Hongli Zhang, Siju Astrophysics of Galaxies We propose that the core mass function (CMF) can be driven by filament fragmentation. To model a star-forming system of filaments and fibers, we develop a fractal and turbulent tree with a fractal dimension of 2 and a Larson's law exponent ($β$) of 0.5. The fragmentation driven by convergent flows along the splines of the fractal tree yields a Kroupa-IMF-like CMF that can be divided into three power-law segments with exponents $α$ = $-0.5$, $-1.5$, and $-2$, respectively. The turnover masses of the derived CMF are approximately four times those of the Kroupa IMF, corresponding to a star formation efficiency of 0.25. Adopting $β=1/3$, which leads to fractional Brownian motion along the filament, may explain a steeper CMF at the high-mass end, with $α=-3.33$ close to that of the Salpeter IMF. We suggest that the fibers of the tree are basic building blocks of star formation, with similar properties across different clouds, establishing a common density threshold for star formation and leading to a universal CMF. |
| title | Core mass function in view of fractal and turbulent filaments and fibers |
| topic | Astrophysics of Galaxies |
| url | https://arxiv.org/abs/2501.17502 |