### Abstract

Simulations have indicated that most of the escaped Lyman continuum (LyC) photons escape through a minority of solid angles with near complete transparency, with the remaining majority of the solid angles largely opaque, resulting in a very broad and skewed probability distribution function (PDF) of the escape fraction when viewed at different angles. Thus, the escape fraction of LyC photons of a galaxy observed along a line of sight merely represents the properties of the interstellar medium along that line of sight, which may be an ill-representation of the true escape fraction of the galaxy averaged over its full sky. Here we study how LyC photons escape from galaxies at z = 4-6, utilizing high-resolution large-scale cosmological radiation-hydrodynamic simulations. We compute the PDF of the mean escape fraction (〈f_{esc,1D}〉) averaged over mock observational samples, as a function of the sample size, compared to the true mean (if an infinite sample size is used). We find that, when the sample size is small, the apparent mean skews to the low end. For example, for a true mean of 6.7%, an observational sample of (2,10,50) galaxies at z = 4 would have have a 2.5% probability of obtaining the sample mean lower than 〈f_{esc,1D}〉 = (0.007%, 1.8%, 4.1%) and a 2.5% probability of obtaining the sample mean greater than (43%, 18%, 11%). Our simulations suggest that at least ∼100 galaxies should be stacked in order to constrain the true escape fraction within 20% uncertainty.

Original language | English |
---|---|

Article number | L25 |

Journal | Astrophysical Journal Letters |

Volume | 801 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2015 Mar 10 |

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### All Science Journal Classification (ASJC) codes

- Astronomy and Astrophysics
- Space and Planetary Science

### Cite this

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*Astrophysical Journal Letters*, vol. 801, no. 2, L25. https://doi.org/10.1088/2041-8205/801/2/L25

**Quantifying distributions of the lyman continuum escape fraction.** / Cen, Renyue; Kimm, Taysun.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Quantifying distributions of the lyman continuum escape fraction

AU - Cen, Renyue

AU - Kimm, Taysun

PY - 2015/3/10

Y1 - 2015/3/10

N2 - Simulations have indicated that most of the escaped Lyman continuum (LyC) photons escape through a minority of solid angles with near complete transparency, with the remaining majority of the solid angles largely opaque, resulting in a very broad and skewed probability distribution function (PDF) of the escape fraction when viewed at different angles. Thus, the escape fraction of LyC photons of a galaxy observed along a line of sight merely represents the properties of the interstellar medium along that line of sight, which may be an ill-representation of the true escape fraction of the galaxy averaged over its full sky. Here we study how LyC photons escape from galaxies at z = 4-6, utilizing high-resolution large-scale cosmological radiation-hydrodynamic simulations. We compute the PDF of the mean escape fraction (〈fesc,1D〉) averaged over mock observational samples, as a function of the sample size, compared to the true mean (if an infinite sample size is used). We find that, when the sample size is small, the apparent mean skews to the low end. For example, for a true mean of 6.7%, an observational sample of (2,10,50) galaxies at z = 4 would have have a 2.5% probability of obtaining the sample mean lower than 〈fesc,1D〉 = (0.007%, 1.8%, 4.1%) and a 2.5% probability of obtaining the sample mean greater than (43%, 18%, 11%). Our simulations suggest that at least ∼100 galaxies should be stacked in order to constrain the true escape fraction within 20% uncertainty.

AB - Simulations have indicated that most of the escaped Lyman continuum (LyC) photons escape through a minority of solid angles with near complete transparency, with the remaining majority of the solid angles largely opaque, resulting in a very broad and skewed probability distribution function (PDF) of the escape fraction when viewed at different angles. Thus, the escape fraction of LyC photons of a galaxy observed along a line of sight merely represents the properties of the interstellar medium along that line of sight, which may be an ill-representation of the true escape fraction of the galaxy averaged over its full sky. Here we study how LyC photons escape from galaxies at z = 4-6, utilizing high-resolution large-scale cosmological radiation-hydrodynamic simulations. We compute the PDF of the mean escape fraction (〈fesc,1D〉) averaged over mock observational samples, as a function of the sample size, compared to the true mean (if an infinite sample size is used). We find that, when the sample size is small, the apparent mean skews to the low end. For example, for a true mean of 6.7%, an observational sample of (2,10,50) galaxies at z = 4 would have have a 2.5% probability of obtaining the sample mean lower than 〈fesc,1D〉 = (0.007%, 1.8%, 4.1%) and a 2.5% probability of obtaining the sample mean greater than (43%, 18%, 11%). Our simulations suggest that at least ∼100 galaxies should be stacked in order to constrain the true escape fraction within 20% uncertainty.

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U2 - 10.1088/2041-8205/801/2/L25

DO - 10.1088/2041-8205/801/2/L25

M3 - Article

AN - SCOPUS:84924861591

VL - 801

JO - Astrophysical Journal Letters

JF - Astrophysical Journal Letters

SN - 2041-8205

IS - 2

M1 - L25

ER -