### Abstract

Hydrogen atoms inside virialized minihaloes (with T_{vir} ≤ 10^{4} K) generate a radiation background from redshif ted 21-cm line emission the angular fluctuations of which reflect clustering before and during reionization. We have shown elsewhere that this emission may be detectable with the planned Low-Frequency Array (LOFAR) and Square Kilometer Array (SKA) in a flat cold dark matter universe with a cosmological constant (ACDM). This is a direct probe of structure during the 'Dark Ages' at redshifts z ≳ 6 and down to smaller scales than have previously been constrained. In our original calculation, we used a standard approximation known as the 'linear bias'. Here we improve upon that treatment by considering the effect of non-linear clustering. To accomplish this, we develop a new analytical method for calculating the non-linear Eulerian bias of haloes, which should be useful for other applications as well. Predictions of this method are compared with the results of ACDM N-body simulations, showing significantly better agreement than the standard linear bias approximation. When applied to the 21-cm background from minihaloes, our formalism predicts fluctuations that differ from our original predictions by up to 30 per cent at low frequencies (high-z) and small scales. However, within the range of frequencies and angular scales at which the signal could be observable by LOFAR and SKA as currently planned, the differences are small and our original predictions prove robust. Our results indicate that while a smaller frequency bandwidth of observation leads to a higher signal that is more sensitive to non-linear effects, this effect is counteracted by the lowered sensitivity of the radio arrays. We calculate the best frequency bandwidth for these observations to be δv_{obs} ∼ 2 MHz. Finally we combine our simulations with our previous calculations of the 21-cm emission from individual minihaloes to construct illustrative radio maps at z = 9.

Original language | English (US) |
---|---|

Pages (from-to) | 81-90 |

Number of pages | 10 |

Journal | Monthly Notices of the Royal Astronomical Society |

Volume | 341 |

Issue number | 1 |

DOIs | |

State | Published - May 1 2003 |

Externally published | Yes |

### Fingerprint

### Keywords

- Cosmology: theory
- Diffuse radiation
- Galaxies: formation
- Intergalactic medium
- Large-scale structure of Universe
- Radio lines: galaxies

### ASJC Scopus subject areas

- Space and Planetary Science

### Cite this

*Monthly Notices of the Royal Astronomical Society*,

*341*(1), 81-90. https://doi.org/10.1046/j.1365-8711.2003.06410.x

**Non-linear clustering during the cosmic Dark Ages and its effect on the 21-cm background from minihaloes.** / Hiev, Ilian T.; Scannapieco, Evan; Martel, Hugo; Shapiro, Paul R.

Research output: Contribution to journal › Article

*Monthly Notices of the Royal Astronomical Society*, vol. 341, no. 1, pp. 81-90. https://doi.org/10.1046/j.1365-8711.2003.06410.x

}

TY - JOUR

T1 - Non-linear clustering during the cosmic Dark Ages and its effect on the 21-cm background from minihaloes

AU - Hiev, Ilian T.

AU - Scannapieco, Evan

AU - Martel, Hugo

AU - Shapiro, Paul R.

PY - 2003/5/1

Y1 - 2003/5/1

N2 - Hydrogen atoms inside virialized minihaloes (with Tvir ≤ 104 K) generate a radiation background from redshif ted 21-cm line emission the angular fluctuations of which reflect clustering before and during reionization. We have shown elsewhere that this emission may be detectable with the planned Low-Frequency Array (LOFAR) and Square Kilometer Array (SKA) in a flat cold dark matter universe with a cosmological constant (ACDM). This is a direct probe of structure during the 'Dark Ages' at redshifts z ≳ 6 and down to smaller scales than have previously been constrained. In our original calculation, we used a standard approximation known as the 'linear bias'. Here we improve upon that treatment by considering the effect of non-linear clustering. To accomplish this, we develop a new analytical method for calculating the non-linear Eulerian bias of haloes, which should be useful for other applications as well. Predictions of this method are compared with the results of ACDM N-body simulations, showing significantly better agreement than the standard linear bias approximation. When applied to the 21-cm background from minihaloes, our formalism predicts fluctuations that differ from our original predictions by up to 30 per cent at low frequencies (high-z) and small scales. However, within the range of frequencies and angular scales at which the signal could be observable by LOFAR and SKA as currently planned, the differences are small and our original predictions prove robust. Our results indicate that while a smaller frequency bandwidth of observation leads to a higher signal that is more sensitive to non-linear effects, this effect is counteracted by the lowered sensitivity of the radio arrays. We calculate the best frequency bandwidth for these observations to be δvobs ∼ 2 MHz. Finally we combine our simulations with our previous calculations of the 21-cm emission from individual minihaloes to construct illustrative radio maps at z = 9.

AB - Hydrogen atoms inside virialized minihaloes (with Tvir ≤ 104 K) generate a radiation background from redshif ted 21-cm line emission the angular fluctuations of which reflect clustering before and during reionization. We have shown elsewhere that this emission may be detectable with the planned Low-Frequency Array (LOFAR) and Square Kilometer Array (SKA) in a flat cold dark matter universe with a cosmological constant (ACDM). This is a direct probe of structure during the 'Dark Ages' at redshifts z ≳ 6 and down to smaller scales than have previously been constrained. In our original calculation, we used a standard approximation known as the 'linear bias'. Here we improve upon that treatment by considering the effect of non-linear clustering. To accomplish this, we develop a new analytical method for calculating the non-linear Eulerian bias of haloes, which should be useful for other applications as well. Predictions of this method are compared with the results of ACDM N-body simulations, showing significantly better agreement than the standard linear bias approximation. When applied to the 21-cm background from minihaloes, our formalism predicts fluctuations that differ from our original predictions by up to 30 per cent at low frequencies (high-z) and small scales. However, within the range of frequencies and angular scales at which the signal could be observable by LOFAR and SKA as currently planned, the differences are small and our original predictions prove robust. Our results indicate that while a smaller frequency bandwidth of observation leads to a higher signal that is more sensitive to non-linear effects, this effect is counteracted by the lowered sensitivity of the radio arrays. We calculate the best frequency bandwidth for these observations to be δvobs ∼ 2 MHz. Finally we combine our simulations with our previous calculations of the 21-cm emission from individual minihaloes to construct illustrative radio maps at z = 9.

KW - Cosmology: theory

KW - Diffuse radiation

KW - Galaxies: formation

KW - Intergalactic medium

KW - Large-scale structure of Universe

KW - Radio lines: galaxies

UR - http://www.scopus.com/inward/record.url?scp=0142087573&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0142087573&partnerID=8YFLogxK

U2 - 10.1046/j.1365-8711.2003.06410.x

DO - 10.1046/j.1365-8711.2003.06410.x

M3 - Article

VL - 341

SP - 81

EP - 90

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

SN - 0035-8711

IS - 1

ER -