Studying the morphology of HI isodensity surfaces during reionization using Shapefinders and percolation analysis

Abstract

Minkowski functionals and Shapefinders shed light on the connectedness of large-scale structure by determining its topology and morphology. We use a sophisticated code, SURFGEN2, to measure the Minkowski functionals and Shapefinders of individual clusters by modelling cluster surfaces using the 'Marching Cube 33' triangulation algorithm. In this paper, we study the morphology of simulated neutral hydrogen (HI) density fields using Shapefinders at various stages of reionization from the excursion set approach. Accompanying the Shapefinders, we also employ the 'largest cluster statistic' (LCS) to understand the percolation process. Percolation curves demonstrate that the non-Gaussianity in the HI field increases as reionization progresses. The large clusters in both the HI overdense and underdense excursion sets possess similar values of "thickness" ($T$), as well as "breadth" ($B$), but their third Shapefinder - "length" ($L$) - becomes almost proportional to their volume. The large clusters in both HI overdense and underdense segments are overwhelmingly filamentary. The 'cross-section' of a filamentary cluster can be estimated using the product of the first two Shapefinders, $T\times B$. Hence the cross sections of the large clusters at the onset of percolation do not vary much with volume and their sizes only differ in terms of their lengths. This feature appears more vividly in HI overdense regions than in underdense regions and is more pronounced at lower redshifts which correspond to an advanced stage of reionization.

arXiv comment19 pages, 15 figures, 1 table, accepted for publication in MNRAS

References in corpus (67)

• Planck 2015 results. XIII. Cosmological parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• LOFAR: The LOw-Frequency ARray
• Evidence for Reionization at z ~ 6: Detection of a Gunn-Peterson Trough in a z=6.28 Quasar
• Cosmic Reionization and Early Star-Forming Galaxies: A Joint Analysis of New Constraints from Planck and Hubble Space Telescope
• 21-cm Tomography of the Intergalactic Medium at High Redshift
• A Survey of z>5.7 Quasars in the Sloan Digital Sky Survey II: Discovery of Three Additional Quasars at z>6
• Statistics of 207 Lya Emitters at a Redshift Near 7: Constraints on Reionization and Galaxy Formation Models
• Hydrogen Epoch of Reionization Array (HERA)
• Recent advances in percolation theory and its applications
• Evidence of patchy hydrogen reionization from an extreme Ly$\alpha$ trough below redshift six
• Planck intermediate results. XLVI. Reduction of large-scale systematic effects in HFI polarization maps and estimation of the reionization optical depth
• Simulating Cosmic Reionization at Large Scales I: the Geometry of Reionization
• Reionization and the Cosmic Dawn with the Square Kilometre Array
• A simulation calibrated limit on the HI power spectrum from the GMRT Epoch of Reionization experiment
• Science with the Murchison Widefield Array
• New Limits on 21cm EoR From PAPER-32 Consistent with an X-Ray Heated IGM at z=7.7
• PAPER-64 Constraints on Reionization: The 21cm Power Spectrum at z=8.4
• Minkowski Functionals used in the Morphological Analysis of Cosmic Microwave Background Anisotropy Maps
• The Evolution of Lyman Limit Absorption Systems to Redshift Six
• Beyond genus statistics: a unifying approach to the morphology of cosmic structure
• Statistical Probes of Reionization With 21 cm Tomography
• Simulating cosmic reionization: How large a volume is large enough?
• Overcoming real-world obstacles in 21 cm power spectrum estimation: A method demonstration and results from early Murchison Widefield Array data
• Inside-out or Outside-in: The topology of reionization in the photon-starved regime suggested by Lyman-alpha forest data
• The Galaxy Luminosity Function during the Reionization Epoch
• Shapefinders: A new shape diagnostic for large scale structure
• On using visibility correlations to probe the HI distribution from the dark ages to the present epoch I: Formalism and the expected signal
• Initial deep LOFAR observations of Epoch of Reionization windows: I. The North Celestial Pole
• First Results from the Lyman Alpha Galaxies in the Epoch of Reionization (LAGER) Survey: Cosmological Reionization at z ~ 7
• Cosmic reionization after Planck
• Primordial Non-Gaussianity and Analytical Formula for Minkowski Functionals of the Cosmic Microwave Background and Large-scale Structure
• Quantifying the non-Gaussianity in the EoR 21-cm signal through bispectrum
• Morphology of the supercluster-void network in LCDM cosmology
• Minkowski Functionals of SDSS galaxies I : Analysis of Excursion Sets
• The bispectrum of redshifted 21-cm fluctuations from the dark ages
• Topology and Sizes of HII Regions during Cosmic Reionization
• On the use of semi-numerical simulations in predicting the 21-cm signal from the epoch of reionization
• Multi-redshift limits on the 21cm power spectrum from PAPER
• The Sloan Great Wall. Morphology and galaxy content
• A New Constraint on Reionization from Evolution of the Ly$\alpha$ Luminosity Function at $z\sim 6-7$ Probed by a Deep Census of $z=7.0$ Ly$\alpha$ Emitter Candidates to 0.3 $L^{\ast }$
• Measuring the Geometry and Topology of Large Scale Structure using SURFGEN: Methodology and Preliminary Results
• Probing non-Gaussian features in the HI distribution at the epoch of reionization
• Evidence for Filamentarity in the Las Campanas Redshift Survey
• Statistics of the epoch of reionization (EoR) 21-cm signal -- II. The evolution of the power spectrum error-covariance
• The effect of non-Gaussianity on error predictions for the Epoch of Reionization (EoR) 21-cm power spectrum
• Reionization Through the Lens of Percolation Theory
• The morphology of cosmological reionization by means of Minkowski Functionals
• Reionization constraints using Principal Component Analysis
• Minkowski Functionals and Cluster Analysis for CMB Maps
• Towards simulating and quantifying the light-cone EoR 21-cm signal
• The Size of the Longest Filaments in the Universe
• The Topology of Cosmological Reionization
• Sensitivity for 21cm Bispectrum from Epoch of Reionization
• Studying topological structure in the epoch of reionization with 3D-Minkowski functionals of 21cm line fluctuations
• Statistics of the epoch of reionization 21-cm signal - I. Power spectrum error-covariance
• Universality of the Network and Bubble Topology in Cosmological Gravitational Simulations
• Morphology of Clusters and Superclusters in N-body simulations of Cosmological Gravitational Clustering
• Probing Large Scale Structure using Percolation and Genus Curves
• The Shape and Size distribution of HII Regions near the percolation transition
• Large-Scale Non-Gaussianities in the 21 cm Background Anisotropies From the Era of Reionization
• Exploring star formation using the filaments in the Sloan Digital Sky Survey Data Release Five (SDSS DR5)
• A Gunn-Peterson test with a QSO at z=6.4
• Morphology of Mock SDSS Catalogues
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: higher-order correlations revealed by germ-grain Minkowski Functionals
• Studying neutral hydrogen structures during the epoch of reionization using fractal dimensions
• The richest superclusters. I. Morphology

Cited by in corpus (24)

• Large scale simulations of H and He reionization and heating driven by stars and more energetic sources
• Exploring the cosmic 21-cm signal from the Epoch of Reionisation using the Wavelet Scattering Transform
• Stages of Reionization as revealed by the Minkowski Functionals
• The Shape and Size distribution of HII Regions near the percolation transition
• Prospects of constraining reionization model parameters using Minkowski tensors and Betti numbers
• Morphology of 21cm brightness temperature during the Epoch of Reioinization using Contour Minkowski Tensor
• Weakly non-Gaussian formula for the Minkowski functionals in general dimensions
• Studying Cosmic Dawn using redshifted HI 21-cm signal: A brief review
• The impact of non-Gaussianity on the Epoch of Reionization parameter forecast using 21-cm power spectrum measurements
• Detecting the non-Gaussianity of the 21-cm signal during reionisation with the Wavelet Scattering Transform
• Probing early universe through redshifted 21-cm signal: Modelling and observational challenges
• MEDUSA: Minkowski functionals estimated from Delaunay tessellations of the three-dimensional large-scale structure
• The monopole and quadrupole moments of the Epoch of Reionization (EoR) 21-cm bispectrum
• A Study on the Baryon Acoustic Oscillation with Topological Data Analysis
• Distinguishing reionization models using the largest cluster statistics of the 21-cm maps
• A morphological analysis of the substructures in radio relics
• The shape distribution of superclusters in SDSS DR 12
• The maximum extent of the filaments and sheets in the cosmic web: an analysis of the SDSS DR17
• Interpreting the HI 21-cm cosmology maps through Largest Cluster Statistics -- I: Impact of the synthetic SKA1-Low observations
• Probing the Epoch of Reionization using synergies of line intensity mapping
• Reionization Parameter Inference from 3D Minkowski Functionals of the 21 cm Signals
• On the saturation mechanism of the fluctuation dynamo at ${\text{Pr}}_{\mathrm{M}}\ge 1$
• Power spectrum multipoles and clustering wedges during the Epoch of Reionization
• Interpreting the HI 21-cm cosmology maps through Largest Cluster Statistics. Part II. Impact of the realistic foreground and instrumental noise on synthetic SKA1-Low observations