Not so Fast: Revised Calibration of SIDM Core Collapse
- 1Yale University Department of Astronomy, , PO. Box 208101, New Haven, CT 06520-8101
- 2Yale University Department of Physics, , PO. Box 208120, New Haven, CT 06520-8120
Abstract
Self-interacting dark matter (SIDM) haloes undergo gravothermal evolution whose late-time behaviour is central to predictions for dense substructure and black-hole seed formation. We revisit the calibration of this evolution using a new spherical Direct Simulation Monte Carlo code, SphDSMC, which follows spherically symmetric SIDM systems without force softening and to substantially higher central densities than standard N-body simulations. We compare SphDSMC, calculations with conventional N-body simulations and with one-dimensional gravothermal fluid models. We show that N-body results converge to SphDSMC, only for softening lengths significantly smaller than those normally adopted for collisionless simulations, and that allowing multiple scatterings per particle per time step does not introduce significant errors when implemented appropriately. Calibrating the gravothermal fluid equations against SphDSMC, we find that the commonly used harmonic interpolation between the long- and short-mean-free-path conductivities is inaccurate. A gentler transition, however, yields excellent agreement for NFW haloes over a range of concentrations and truncation radii, with a single long-mean-free-path conductivity parameter. The revised calibration gives a long-mean-free-path collapse time that is somewhat shorter than previous estimates, but we show that collapse slows dramatically once the core becomes optically thick. We provide fitting functions for the late-time evolution and argue that black-hole seed formation by SIDM gravothermal collapse has generally been underestimated in duration, making it unlikely to explain the massive high-redshift black holes inferred from JWST observations without additional physics.
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BibTeX
@article{bosch2026fast,
title = {{Not so Fast: Revised Calibration of SIDM Core Collapse}},
author = {Frank C van den Bosch and Yarone M Tokayer},
journal = {Monthly Notices of the Royal Astronomical Society},
year = {2026},
month = oct,
doi = {10.1093/mnras/stag2015},
url = {https://academic.oup.com/mnras/advance-article/doi/10.1093/mnras/stag2015/8979794},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Not so Fast: Revised Calibration of SIDM Core Collapse
AU - Frank C van den Bosch
AU - Yarone M Tokayer
PY - 2026
DA - 2026/10/22
JO - Monthly Notices of the Royal Astronomical Society
DO - 10.1093/mnras/stag2015
UR - https://academic.oup.com/mnras/advance-article/doi/10.1093/mnras/stag2015/8979794
AB - Self-interacting dark matter (SIDM) haloes undergo gravothermal evolution whose late-time behaviour is central to predictions for dense substructure and black-hole seed formation. We revisit the calibration of this evolution using a new spherical Direct Simulation Monte Carlo code, SphDSMC, which follows spherically symmetric SIDM systems without force softening and to substantially higher central densities than standard N-body simulations. We compare SphDSMC, calculations with conventional N-body simulations and with one-dimensional gravothermal fluid models. We show that N-body results converge to SphDSMC, only for softening lengths significantly smaller than those normally adopted for collisionless simulations, and that allowing multiple scatterings per particle per time step does not introduce significant errors when implemented appropriately. Calibrating the gravothermal fluid equations against SphDSMC, we find that the commonly used harmonic interpolation between the long- and short-mean-free-path conductivities is inaccurate. A gentler transition, however, yields excellent agreement for NFW haloes over a range of concentrations and truncation radii, with a single long-mean-free-path conductivity parameter. The revised calibration gives a long-mean-free-path collapse time that is somewhat shorter than previous estimates, but we show that collapse slows dramatically once the core becomes optically thick. We provide fitting functions for the late-time evolution and argue that black-hole seed formation by SIDM gravothermal collapse has generally been underestimated in duration, making it unlikely to explain the massive high-redshift black holes inferred from JWST observations without additional physics.
SN - 0035-8711
SN - 1365-2966
ER -