starting to take shape
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177
introduction.typ
177
introduction.typ
@@ -1,6 +1,4 @@
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#import "importer/main.typ": *
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#import "@preview/physica:0.9.5": *
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#import "@preview/touying:0.6.1": *
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#import "globals.typ": *
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= Simulating the Epoch of Reionization
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@@ -14,67 +12,160 @@
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- Sets the stage for many observables: CMB secondary anisotropies, 21-cm signal, high-z galaxy surveys.
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// reformulate
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== The 21cm signal
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== The 21-cm signal
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The brigthtness temperature describes the difference between the CMB temperature and the spin temperature of neutral hydrogen
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#grid[
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#image("assets/cmb_black_body_spectrum.svg", height: 1fr, fit: "contain") @cmb_spectrum
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#v(1em)
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#grid(columns: 2, align: center)[
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#image("assets/cmb_black_body_spectrum.svg", height: 1fr, fit: "contain") #text(size: 0.8em)[from @cmb_spectrum]
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][
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#pause
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Removing the contribution from the black body spectrum of the CMB yields the explicit 21-cm signal:
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#image("assets/cmb_black_body_spectrum.svg", height: 1fr, fit: "contain")
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]
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#pagebreak()
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#align(center)[
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#image("assets/evolution_of_dtb.png", fit: "contain")
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#image("assets/evolution_of_dtb.png", height: 85%, fit: "contain")
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#text(size: 0.8em)[from @Pritchard2012]
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]
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@Pritchard2012
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#pagebreak()
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== Expression the 21-cm signal
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Expressing the _differential brightness temperature_ (e.g @Pritchard2012):
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$
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d T_"b" (bold(x), z) tilde.eq T_0 (z) dot x_"HI" (bold(x), z) dot (1 + delta_b (bold(x), z)) dot (x_alpha (bold(x), z)) / (1 + x_alpha (bold(x), z) ) dot ((1 - T_"CMB" (z)) / (T_"gas" (bold(x), z)))
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d T_"b" (bold(x), z) tilde.eq T_0 (z) dot
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#pin(1) x_"HI" (bold(x), z) #pin(2) dot
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(1 + delta_b (bold(x), z)) dot
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(x_alpha (bold(x), z)) / (#pin(3) 1 + x_alpha (bold(x), z) #pin(4) ) dot
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((1 - T_"CMB" (z)) / (#pin(5) T_"gas" (bold(x), z) #pin(6)))
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$ <eq:dTb>
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(e.g @Pritchard2012)
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== The halo model of reionization
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Following @Schneider_2021 @schneider2023cosmologicalforecast21cmpower:
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$
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rho_alpha (r bar M, z) = (1 + z)^2 / (4 pi r^2) dot sum_(n=2)^(n_m)f_n dot epsilon_alpha (nu prime) dot f_star dot dot(M)(z prime bar M, z)
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$
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#line(
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length: 100%
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)
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$
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3/2 dot derivative(rho_h (r bar M, z), z) = (3 rho_h (r bar M, z)) / (1 + z) - (rho_"xray" (r bar M, z)) /(k_B (1 + z) H(z))
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$
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#line(
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length: 100%
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)
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$
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x_("HII")(r bar M, z) = theta_"H" lr([R_b (M, z) - r], size: #150%)
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$
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// Explanation
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- further modulation by _RSD_
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== The current state of simulations
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#lorem(20)
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- slow and big
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- radiative transfer // what are the downsides
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$==>$ semi-numerical approaches such as `BEoRN` @Schaeffer_2023
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#layouts.contained(
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[
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*Traditional approaches*
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// keypoints that describe heavy hydro + radiative transfer simulations
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- require hydrodynamics
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- require radiative transfer
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- scale poorly
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$=>$ no reproducibility
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#pause
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],
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[
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#text(weight: "bold")[semi-numerical approaches]
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such as #beorn @Schaeffer_2023, `21cmFAST` [CITATION]
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- approximative treatment
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- link
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- scalable + efficient
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$=>$ reproducible and flexible
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]
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)
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#link(<backup_validation>, "validation")
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// #layouts.two-boxes(
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// [
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// #text(weight: "bold")[Traditional approaches]
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== `BEoRN`
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// // keypoints that describe heavy hydro + radiative transfer simulations
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// - require hydrodynamics
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// - require radiative transfer
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// - scale poorly
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// $=>$ no reproducibility
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// #pause
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// ],
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// [
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// *semi-numerical approaches*
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// such as #beorn @Schaeffer_2023, `21cmFAST` [CITATION]
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// - approximative treatment
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// - link
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// - scalable + efficient
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// $=>$ reproducible and flexible
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// ]
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// )
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#pagebreak()
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== Matrix
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#layouts.matrix((
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brand.wordmark,
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brand.wordmark,
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brand.wordmark,
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brand.wordmark,
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brand.wordmark,
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brand.wordmark
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))
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== Contained
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#layouts.contained(
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columns(2, [
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- #lorem(10)
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- #lorem(15)
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- #lorem(25)
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]),
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brand.wordmark
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)
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== Four columns
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#layouts.four-columns(
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[
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#text(weight: "bold", brand.wordmark)
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#v(1em)
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#text(size: 10.5pt)[#lorem(60)]
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],
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[
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#text(weight: "bold", brand.wordmark)
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#v(1em)
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#text(size: 10.5pt)[#lorem(45)]
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],
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[
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#text(weight: "bold", brand.wordmark)
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#v(1em)
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#text(size: 10.5pt)[#lorem(75)]
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],
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[
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#text(weight: "bold", brand.wordmark)
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#v(1em)
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#text(size: 10.5pt)[#lorem(50)]
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]
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)
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== Two columns
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#layouts.contained(
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columns(2, [
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- #lorem(10)
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- #lorem(15)
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- #lorem(25)
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]),
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brand.wordmark
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)
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