From fdedbdbee258ab8301a1500305c268cf531ae8a0 Mon Sep 17 00:00:00 2001 From: Remy Moll Date: Wed, 17 Sep 2025 18:11:07 +0200 Subject: [PATCH] nearly fully fleshed out now --- assets/brighness_temperature.png | Bin 0 -> 49607 bytes assets/cmb_and_dtb.jpeg | Bin 0 -> 75971 bytes assets/image copy.png | Bin 0 -> 49607 bytes assets/profiles.png | Bin 0 -> 107607 bytes assets/signals.png | Bin 202665 -> 188564 bytes backup.typ | 57 ++++++++++-- beorn.typ | 12 +-- conclusion.typ | 39 ++++++-- halo_model.typ | 15 +++- implementation.typ | 49 ++++++++--- introduction.typ | 147 +++++++++---------------------- main.typ | 3 +- main2.pdf | Bin 59245 -> 0 bytes main2.typ | 147 ------------------------------- references.bib | 6 +- refinements.typ | 41 ++++++++- results.typ | 42 ++++++++- 17 files changed, 260 insertions(+), 298 deletions(-) create mode 100644 assets/brighness_temperature.png create mode 100644 assets/cmb_and_dtb.jpeg create mode 100644 assets/image copy.png create mode 100644 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+$ +with the lookback redshift $z prime$ so $nu prime = nu dot (1+z prime) slash (1+z)$ + +$=>$ coupling coefficient +$ + x_alpha (r bar M, z) = (1.81 dot 10^11) / (1 + z) dot S_alpha (z) dot rho_alpha (r bar M, z) +$ +with a suppression factor $S_alpha (z)$ + + +#pagebreak() +$ + rho_"xray" (r bar M, z) = 1 / r^2 sum_i f_i f_(X,h) dot integral_(nu^i_"th")^oo d nu (nu - nu^i_"th") h_P sigma_i (nu) e^(-tau_nu) f_star dot(M) (z prime bar M, z) +$ +$ + ==> 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)) +$ +with the Boltzmann constant $k_B$ and $H(z)$ is the Hubble parameter +// where i={H, He} and νi thhP ={13.6, 26.5} eV. +// Contribution from both He and H since +// No defined sum but integral due to all radiations being xray + +// Lookback comes from the definition of comoving r: +// $r = integral_(z)^(z prime) c dz dot (1+z) / H(z)$ + +#pagebreak() + +The comoving ionized volume around a source of ionizing photons satisfies the differential equation +$ + derivative(V, t) = dot(N)_"ion"(t) / overline(n)_H^0 - alpha_B dot C / a^3 dot overline(n)_H^0 dot V +$ +bubble radius $R_b = root(3, 3/ (4pi) V(M,z))$ and using the Heaviside step function $theta_H$: +$ + x_("HII")(r bar M, z) = theta_"H" lr([R_b (M, z) - r], size: #150%) +$ + + == Validation -#[ - #set image(height: 45%, fit: "contain") +#line(length: 100%, stroke: 0pt) +#align(center)[ + #set image(height: 43%, fit: "contain") #let notebook = json("../workdir/11_visualization/validation_simple_run.ipynb") #image_cell(notebook, cell_id: "validation_signal_comparison_old_v_new") @@ -13,11 +54,11 @@ -== Backup slides -This is a backup slide -#lorem(50) - -== Another backup slide -#lorem(50) +== Thesan resolution issues +#let notebook = json("../workdir/11_visualization/halo_mass_function_thesan_1_2.ipynb") +#line(length: 100%, stroke: 0pt) +#align(center)[ + #image_cell(notebook, cell_id: "halo_mass_functions") +] diff --git a/beorn.typ b/beorn.typ index 9a3cd92..755372b 100644 --- a/beorn.typ +++ b/beorn.typ @@ -38,9 +38,9 @@ #pinit-point-to( (1, 2), pin-dx: 20pt, - pin-dy: -20pt, + pin-dy: -30pt, body-dx: -70pt, - body-dy: -80pt, + body-dy: -95pt, offset-dx: 20pt, offset-dy: 30pt, )[spherical symmetry] @@ -50,12 +50,12 @@ #pinit-point-to( (3, 4), pin-dx: 20pt, - pin-dy: -20pt, - body-dx: -90pt, - body-dy: -80pt, + pin-dy: -30pt, + body-dx: -70pt, + body-dy: -95pt, offset-dx: 20pt, offset-dy: 30pt, -)[convolution (fft)] +)[convolution (`FFT`)] #pagebreak() diff --git a/conclusion.typ b/conclusion.typ index d0931f0..d2492c3 100644 --- a/conclusion.typ +++ b/conclusion.typ @@ -2,14 +2,37 @@ = Conclusion == Summary -- We presented Beorn, a new code to simulate the 21cm signal from the EoR and Cosmic Dawn. -- Beorn is based on the halo model and uses a novel approach to compute the 21cm signal from 1D profiles around individual sources. -- Beorn is fast, flexible, and easy to use. -- We validated Beorn against numerical simulations and showed that it can reproduce their results with good accuracy. -- Beorn is publicly available and can be used for a variety of applications, including forecasting, parameter estimation, and data analysis. +- #beorn a semi-numerical tool to simulate the 21-cm signal + + - uses the _halo model of reionization_ + - describes sources in terms of their host DM halo + - $=>$ central dependence on halo growth + // since it affects the SFR and thus the emissivity + +- more accurate treatment of *individual* mass accretion + // change in profiles trivially + - leads to significant changes to reionization history + // which could in theory be absorbed by shifting other paremeters + - map-level fluctuations + // which we can hope to observe (although many are subtle) + +// unique position of 21-cm cosmology -> cannot discuss observational constraints + +- #beorn python package: #link("https://github.com/cosmic-reionization/beorn") + // invite you to check out + - simulation-agnostic + - easier to use + - fully parallelized + + +== Outlook +- further validation +// finally ready for direct comparison with c2ray? now that parameters and loading have been properly implemented -== Upcoming improvements - investigation + parameterization of stochasticity -- application to larger volumes -- fully parallel runs +// Assuming other relations related to production of photons is (hopefully by now well motivated) complex +// these cannot directly be inferred => expressed as a distribution as a function of another halo property +- application to larger volumes +// the scale-up -> large volumes with usable merger trees +// comitting to reserving some 100s of node hours (which I would still quantify as fast) diff --git a/halo_model.typ b/halo_model.typ index 43d6c04..aa45c81 100644 --- a/halo_model.typ +++ b/halo_model.typ @@ -3,7 +3,7 @@ == The halo model of reionization -Following @Schneider_2021 @schneider2023cosmologicalforecast21cmpower: +Following @Schneider_2021 @schneider2023cosmologicalforecast21cmpower, the halo model describes (#link(, "derivation")): #line(length: 100%, stroke: color.white.transparentize(100%)) #pause @@ -16,7 +16,11 @@ $ $ 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)) $ - +// From the xray emission +// primordial + heating term +// expansion + deposition by xrays +// => xrays are assumed to be the only source of heating +// #pause $ derivative(V_b, t) = dot(N)_"ion"(t) / overline(n)_H^0 - alpha_B dot C / a^3 dot overline(n)_H^0 dot V_b @@ -26,8 +30,15 @@ $ // $ #pagebreak() +Visually: +#image("assets/profiles.png") +// COMMENTS: +// - contribution from the lyman lines +// - 1/r^2 decrease from spreading photons +// - more steep outwards + sharp drop due to redshifting out of line +#pagebreak() == Revisiting the 21cm signal diff --git a/implementation.typ b/implementation.typ index 2217a20..bcfe96b 100644 --- a/implementation.typ +++ b/implementation.typ @@ -3,21 +3,47 @@ #let notebook = json("../workdir/11_visualization/simple_run_example.ipynb") -= Implementation += Adaptations + + +== Central changes + +- profile generation taking into account halo growth rate + +- reading merger trees + inferring growth rates + +- parallel painting across multiple halo bins +// important since the bins are more now + +- performance and ease of use +// largely through vectorization -> still "native" python +// usage of HDF5 +// solid caching mechanisms -> resume simulations, etc... + +// #v(5em) +// #text( +// size: .7em, +// )[ +// (#link(, "Validated")) +// ] + + == Simplified usage #text( - size: .7em, + size: .65em, )[ - #show raw: it => { - show regex("pin\d"): it => pin(eval(it.text.slice(3))) - it - } - #code-block( - filename: "beorn.py", - language: "python", - code_cell(notebook, cell_id: "code_for_run"), - ) + #columns(2, gutter: 3pt)[ + #show raw: it => { + show regex("pin\d"): it => pin(eval(it.text.slice(3))) + it + } + #code-block( + filename: "beorn.py", + language: "python", + code_cell(notebook, cell_id: "code_for_run"), + ) + ] // #pinit-point-to(1)[Hello] // #pinit-point-to(2)[Hello] // #pinit-point-to(3)[Hello] @@ -27,4 +53,3 @@ ] -#link(, "Validated") diff --git a/introduction.typ b/introduction.typ index 8b6e12d..b5251ff 100644 --- a/introduction.typ +++ b/introduction.typ @@ -9,7 +9,10 @@ - Is strongly linked to the formation and growth of the first galaxies and black holes. -- Sets the stage for many observables: CMB secondary anisotropies, 21-cm signal, high-z galaxy surveys. +- Sets the stage for many observables: + - CMB secondary anisotropies + - 21-cm signal + - high-z galaxy surveys. // reformulate @@ -20,12 +23,19 @@ The brigthtness temperature describes the difference between the CMB temperature #v(1em) -#grid(columns: 2, align: center)[ - #image("assets/cmb_black_body_spectrum.svg", height: 1fr, fit: "contain") #text(size: 0.8em)[from @cmb_spectrum] +#grid(columns: 2, align: center, column-gutter: 1em)[ + #image("assets/cmb_and_dtb.jpeg", height: 1fr, fit: "contain") #text(size: 0.8em)[from @cmb_spectrum] ][ #pause - Removing the contribution from the black body spectrum of the CMB yields the explicit 21-cm signal: - #image("assets/cmb_black_body_spectrum.svg", height: 1fr, fit: "contain") + #set text(size: 0.8em) + remove contribution from the BB spectrum: + + _differential brightness temperature_ + + $==>$ the actual 21-cm signal + + #image("assets/brighness_temperature.png", fit: "contain") + from @Schaeffer_2023 ] #pagebreak() @@ -37,6 +47,9 @@ The brigthtness temperature describes the difference between the CMB temperature #text(size: 0.8em)[from @Pritchard2012] ] +// COMMENTS: + + == Expression the 21-cm signal Expressing the _differential brightness temperature_ (e.g @Pritchard2012): @@ -59,113 +72,37 @@ $ #layouts.contained( [ *Traditional approaches* - - // keypoints that describe heavy hydro + radiative transfer simulations - - require hydrodynamics - - require radiative transfer - - scale poorly + // From first principles + - need to cover large dynamic range + // small scales to resolve sources + sinks + feedback + // large scales to capture statistics + - hydrodynamics & radiative transfer + - hard to scale $=>$ no reproducibility #pause ], [ - #text(weight: "bold")[semi-numerical approaches] + #pad(1em)[ + #align(left)[ + #text(weight: "bold")[semi-numerical approaches] - such as #beorn @Schaeffer_2023, `21cmFAST` [CITATION] - - approximative treatment - - link - - scalable + efficient + such as #beorn @Schaeffer_2023, `21cmFAST` @21cmfast - $=>$ reproducible and flexible + // IF ASKED: difference with `21cmFAST`: + // based on excursion formalistm -> only valid >= 1Mpc, which is ideal for large volumes + statistics => 21-cm forecasts + + $->$ approximative treatment + + $->$ link + + $->$ scalable + efficient + + $=>$ reproducible and flexible + // interesting to build emulators for instance + ] + + ] ] ) - -// #layouts.two-boxes( -// [ -// #text(weight: "bold")[Traditional approaches] - -// // keypoints that describe heavy hydro + radiative transfer simulations -// - require hydrodynamics -// - require radiative transfer -// - scale poorly - -// $=>$ no reproducibility -// #pause -// ], -// [ -// *semi-numerical approaches* - -// such as #beorn @Schaeffer_2023, `21cmFAST` [CITATION] -// - approximative treatment -// - link -// - scalable + efficient - -// $=>$ reproducible and flexible - - -// ] -// ) - -#pagebreak() - -== Matrix - -#layouts.matrix(( - brand.wordmark, - brand.wordmark, - brand.wordmark, - brand.wordmark, - brand.wordmark, - brand.wordmark -)) - -== Contained -#layouts.contained( - columns(2, [ - - #lorem(10) - - #lorem(15) - - #lorem(25) - ]), - brand.wordmark -) - - - -== Four columns - -#layouts.four-columns( - [ - #text(weight: "bold", brand.wordmark) - #v(1em) - #text(size: 10.5pt)[#lorem(60)] - ], - [ - #text(weight: "bold", brand.wordmark) - #v(1em) - #text(size: 10.5pt)[#lorem(45)] - ], - [ - #text(weight: "bold", brand.wordmark) - #v(1em) - #text(size: 10.5pt)[#lorem(75)] - ], - [ - #text(weight: "bold", brand.wordmark) - #v(1em) - #text(size: 10.5pt)[#lorem(50)] - ] -) - - - -== Two columns - -#layouts.contained( - columns(2, [ - - #lorem(10) - - #lorem(15) - - #lorem(25) - ]), - brand.wordmark -) diff --git a/main.typ b/main.typ index fa15dcf..c421532 100644 --- a/main.typ +++ b/main.typ @@ -107,6 +107,7 @@ institution: [ETH Zürich, University of Zürich], // logo: brand.logo, ), + config-common(handout: true) // footer-left: self => [..#padded_logos], ) @@ -126,7 +127,7 @@ = End == Thank you for your attention -#bibliography("references.bib") +#bibliography("references.bib", title: "References") #show: appendix #include("backup.typ") diff --git a/main2.pdf b/main2.pdf deleted file mode 100644 index 8203053c2997aa247ffac258b15830edec6f8171..0000000000000000000000000000000000000000 GIT binary patch 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$->$ #text(weight: "bold")[inconsistent] with the N-body output + + #pause + $->$ stochasticity for a more realistic description? ] ) @@ -31,13 +36,41 @@ #image_cell(notebook, cell_id: "profile_plot_alpha_dependence") +$M_"h" = 6.08 dot 10^11 M_dot.circle$ (fixed) + +$==>$ correction up to $times 5$ + +// COMMENTS +// That will be directly affect the global signal as well +// shifting +// +// Yu-Siu already investigated the more nuanced effect of stochasticity but the approach we propose should supersede that + +#pagebreak() == Inferring growth from #smallcaps[Thesan] data -#lorem(50) +- already includes precomputed merger trees @Springel2005 +// ideal for rapid iterations + +- follow main progenitor branch back in time + +- fit the exponential model to main progrenitor branch +// in a parallelized fashion => want to stay fast +// fix the original mass for max. consistency +// fix the allowed dynamic range + +- use *individual growth* to select profile +// this sort of "breaks the degeneracy" between halos of the same mass but different growth histories + +- *self-consistent*#pause$*$#meanwhile treatment of halo growth leveraging the snapshots + + +#pagebreak() + #let notebook = json("../workdir/11_visualization/show_trees.ipynb") #[ #set image(width: 100%, fit: "contain") #image_cell(notebook, cell_id: "merger_tree_and_fitting") ] - - +// COMMENTS: +// no clear trend between mass and growth rate diff --git a/results.typ b/results.typ index 4536838..39536af 100644 --- a/results.typ +++ b/results.typ @@ -4,10 +4,44 @@ == Map outputs #let notebook = json("../workdir/11_visualization/simulation_maps.ipynb") -#image_cell(notebook, cell_id: "presentation_x_alpha_map") -#image_cell(notebook, cell_id: "presentation_temperature_map") -#image_cell(notebook, cell_id: "presentation_xHII_map") -#image_cell(notebook, cell_id: "presentation_dtb_map") +#grid( + columns: (auto, 10em) +)[ + #image_cell(notebook, cell_id: "presentation_x_alpha_map") +][ + #lorem(20) +] + +#pagebreak() + +#grid( + columns: (auto, 10em) +)[ + #image_cell(notebook, cell_id: "presentation_temperature_map") +][ + #lorem(20) +] + +#pagebreak() + +#grid( + columns: (auto, 10em) +)[ + #image_cell(notebook, cell_id: "presentation_xHII_map") +][ + #lorem(20) +] + +#pagebreak() + +#grid( + columns: (auto, 10em) +)[ + #image_cell(notebook, cell_id: "presentation_dtb_map") +][ + #lorem(20) +] +