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Peer-reviewedCC BY 4.0The Open Journal of Astrophysics

The Lumina Project: Intergalactic Clumping and Recombination Sinks

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Abstract

Recombinations during the Epoch of Reionization are intrinsically inhomogeneous, with different regions of the intergalactic medium contributing unevenly depending on their density, temperature, ionization state, and spatial patchiness. We combine the high- and medium-resolution 95.5 cMpc Thesan-1 and Thesan-2 runs with the significantly larger 500 cMpc Lumina simulation to measure clumping factors and recombination rates consistently across different resolutions and box sizes. We consider the standard Δ < 100 ionized hydrogen clumping factor, , and a recombination-weighted clumping factor, . Despite differences in resolution, volume, and reionization history, the simulations show an approximately universal clumping evolution at the 10–20% level when parametrized by the global ionized fraction rather than by redshift. Across all simulations, remains systematically below , with the discrepancy increasing toward lower redshift as photoheating suppresses recombinations. In Lumina, the density-only prescription overpredicts the instantaneous recombination rate by factors of 1.34 at z ≈ 8 and 2.02 at z ≈ 5 , and the cumulative recombination count by a factor of 1.53 by z ≈ 5 . Mapping the recombination budget in the joint overdensity–temperature plane reveals that the dominant recombination ridges closely follow simple analytic thermal equilibrium bands derived from the Hui–Gnedin equation of state. Finally, we introduce a phase-space recombination integral and define a phase-space clumping factor, , which isolates the intrinsic recombination enhancement associated with ionization structure and thermal state at fixed overdensity and temperature while closely reproducing the globally measured recombination rate obtained from direct cell-by-cell calculations. This formulation naturally decomposes the total recombination budget as a function of overdensity, temperature, and ionization state.

Versions

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BibTeX
@article{sadain2026lumina,
  title = {{The Lumina Project: Intergalactic Clumping and Recombination Sinks}},
  author = {Ali Sadain and Aaron Smith and Oliver Zier and Hyunbae Park and Teodora-Elena Bulichi and Xuejian Shen and Rahul Kannan and Rongrong Liu and Yuan Bian and Volker Springel and Mark Vogelsberger and Sonja M. Koehler and Lars Hernquist},
  journal = {The Open Journal of Astrophysics},
  year = {2026},
  month = oct,
  doi = {10.33232/001c.172541},
  url = {https://astro.theoj.org/article/172541-the-lumina-project-intergalactic-clumping-and-recombination-sinks},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - The Lumina Project: Intergalactic Clumping and Recombination Sinks
AU  - Ali Sadain
AU  - Aaron Smith
AU  - Oliver Zier
AU  - Hyunbae Park
AU  - Teodora-Elena Bulichi
AU  - Xuejian Shen
AU  - Rahul Kannan
AU  - Rongrong Liu
AU  - Yuan Bian
AU  - Volker Springel
AU  - Mark Vogelsberger
AU  - Sonja M. Koehler
AU  - Lars Hernquist
PY  - 2026
DA  - 2026/10/15
JO  - The Open Journal of Astrophysics
DO  - 10.33232/001c.172541
UR  - https://astro.theoj.org/article/172541-the-lumina-project-intergalactic-clumping-and-recombination-sinks
AB  - Recombinations during the Epoch of Reionization are intrinsically inhomogeneous, with different regions of the intergalactic medium contributing unevenly depending on their density, temperature, ionization state, and spatial patchiness. We combine the high- and medium-resolution 95.5 cMpc Thesan-1 and Thesan-2 runs with the significantly larger 500 cMpc Lumina simulation to measure clumping factors and recombination rates consistently across different resolutions and box sizes. We consider the standard Δ < 100 ionized hydrogen clumping factor, , and a recombination-weighted clumping factor, . Despite differences in resolution, volume, and reionization history, the simulations show an approximately universal clumping evolution at the 10–20% level when parametrized by the global ionized fraction rather than by redshift. Across all simulations, remains systematically below , with the discrepancy increasing toward lower redshift as photoheating suppresses recombinations. In Lumina, the density-only prescription overpredicts the instantaneous recombination rate by factors of 1.34 at z ≈ 8 and 2.02 at z ≈ 5 , and the cumulative recombination count by a factor of 1.53 by z ≈ 5 . Mapping the recombination budget in the joint overdensity–temperature plane reveals that the dominant recombination ridges closely follow simple analytic thermal equilibrium bands derived from the Hui–Gnedin equation of state. Finally, we introduce a phase-space recombination integral and define a phase-space clumping factor, , which isolates the intrinsic recombination enhancement associated with ionization structure and thermal state at fixed overdensity and temperature while closely reproducing the globally measured recombination rate obtained from direct cell-by-cell calculations. This formulation naturally decomposes the total recombination budget as a function of overdensity, temperature, and ionization state.
SN  - 2565-6120
ER  -