Morphology of 21cm brightness temperature during the Epoch of Reioinization using Contour Minkowski Tensor

Abstract

We use morphological descriptors, Betti numbers and Contour Minkowski Tensor (CMT) on 21cm brightness temperature excursion sets, to study the ionization and heating history of the intergalactic medium (IGM) during and before the Epoch of Reionization (EoR). The ratio of eigenvalues of the CMT denoted by $\beta$, gives shape information while it's trace gives the contour length of holes and connected regions. We simulate the matter density, neutral hydrogen fraction, spin temperature and brightness temperature field using the publicly available code 21cmFAST in a redshift range of $z=20.22$ to $z=6$. We study the redshift evolution of three quantities - the Betti number counts $N_{con,hole}$, the characteristic size $r_{con,hole}^{ch}$ and shape anisotropy parameter ${\beta }_{con,hole}^{ch}$ of connected regions and holes for these fields and investigate the different physical origins of their evolution. We make a qualitative comparison of different models of heating and ionization during the EoR. We obtain different regimes of morphological evolution of brightness temperature, depending upon how the shapes and sizes of connected regions and holes change with redshift for different astrophysical settings affecting the ionization and heating history of the IGM during and before the EoR. We find that the morphology of the brightness temperature field traces the morphology of ionized regions below a certain redshift value depending upon the model, where $\Delta r_{hole}^{ch}<10\%$ and $\Delta {\beta }_{hole}^{ch}<1\%$ relative to the $x_{HI}$ field. This difference decreases with redshift. Therefore, the ionization history of the IGM can be reconstructed using the morphological description of $\delta T_b$ in real space.

arXiv comment31 Pages, 15 figures

References in corpus (47)

• LOFAR: The LOw-Frequency ARray
• Cosmology at Low Frequencies: The 21 cm Transition and the High-Redshift Universe
• An absorption profile centred at 78 megahertz in the sky-averaged spectrum
• 21-cm cosmology
• Observational constraints on Cosmic Reionization
• 21cmFAST: A Fast, Semi-Numerical Simulation of the High-Redshift 21-cm Signal
• The Growth of HII Regions During Reionization
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• The Precision Array for Probing the Epoch of Reionization: 8 Station Results
• The Global 21 Centimeter Background from High Redshifts
• Minkowski Functionals used in the Morphological Analysis of Cosmic Microwave Background Anisotropy Maps
• Beyond genus statistics: a unifying approach to the morphology of cosmic structure
• The observable signature of late heating of the Universe during cosmic reionization
• Inside-out or Outside-in: The topology of reionization in the photon-starved regime suggested by Lyman-alpha forest data
• The GMRT-EoR Experiment: A new upper limit on the neutral hydrogen power spectrum at z~8.6
• Inhomogeneous recombinations during cosmic reionization
• Robust Morphological Measures for Large-Scale Structure in the Universe
• Minkowski Tensors of Anisotropic Spatial Structure
• Secondary ionization and heating by fast electrons
• 21 cm signal from cosmic dawn: Imprints of spin temperature fluctuations and peculiar velocities
• Topology and Sizes of HII Regions during Cosmic Reionization
• Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals
• Betti numbers of Gaussian fields
• Reionization Through the Lens of Percolation Theory
• The morphology of cosmological reionization by means of Minkowski Functionals
• The Topology of Cosmological Reionization
• On the detection and tracking of space debris using the Murchison Widefield Array. I. Simulations and test observations demonstrate feasibility
• Studying topological structure in the epoch of reionization with 3D-Minkowski functionals of 21cm line fluctuations
• Model-independent analyses of non-Gaussianity in Planck CMB maps using Minkowski Functionals
• The Shape and Size distribution of HII Regions near the percolation transition
• Studying the morphology of HI isodensity surfaces during reionization using Shapefinders and percolation analysis
• Search for anomalous alignments of structures in Planck data using Minkowski Tensors
• Persistent topology of the reionisation bubble network. I: Formalism & Phenomenology
• Tensor Minkowski Functionals: first application to the CMB
• Minkowski Tensors in Two Dimensions - Probing the Morphology and Isotropy of the Matter and Galaxy Density Fields
• Cosmology with the SKA -- overview
• On Minkowski Functionals of CMB polarization
• Tensor Minkowski Functionals for random fields on the sphere
• A novel probe of bubble size statistics and time scales of the epoch of reionization using the contour Minkowski Tensor
• Minkowski Tensors in Three Dimensions - Probing the Anisotropy Generated by Redshift Space Distortion
• Hot and cold spots counts as probes of non-Gaussianity in the CMB
• Primordial non-Gaussian signatures in CMB polarization
• Residual foreground contamination in the WMAP data and bias in non-Gaussianity estimation
• Measuring Shapes of Galaxy Images I: Ellipticity and Orientation
• Two-dimensional Topology of Cosmological Reionization
• Measuring Shapes of Galaxy Images II: Morphology of 2MASS Galaxies
• An Analytic Formulation of 21-cm Signal from Early Phase of Epoch of Reionization

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• Prospects of constraining reionization model parameters using Minkowski tensors and Betti numbers
• Minkowski Functionals of SDSS-III BOSS : Hints of Possible Anisotropy in the Density Field?
• Inferring the properties of the sources of reionization using the morphological spectra of the ionized regions
• Deep learning approach for identification of HII regions during reionization in 21-cm observations -- II. foreground contamination
• The impact of non-Gaussianity on the Epoch of Reionization parameter forecast using 21-cm power spectrum measurements
• How informative are summaries of the cosmic 21-cm signal?
• Probing early universe through redshifted 21-cm signal: Modelling and observational challenges
• Detecting the non-Gaussianity of the 21-cm signal during reionisation with the Wavelet Scattering Transform
• Persistent topology of the reionization bubble network. II: Evolution & Classification
• Tracking down the origin of superbubbles and supergiant shells in the Magellanic Clouds with Minkowski tensor analysis
• The nature of non-Gaussianity and statistical isotropy of the 408 MHz Haslam synchrotron map
• Cosmological Parameter Estimation from the Two-Dimensional Genus Topology -- Measuring the Expansion History using the Genus Amplitude as a Standard Ruler
• Ensemble Average of Three-Dimensional Minkowski Tensors of a Gaussian Random Field in Redshift Space
• Morphology of CMB fields -- effect of weak gravitational lensing
• Minkowski Tensors in Redshift Space -- Beyond the Plane Parallel Approximation
• Distinguishing reionization models using the largest cluster statistics of the 21-cm maps
• The geometrical meaning of statistical isotropy of smooth random fields in two dimensions
• 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
• Topology of Reionisation times: concepts, measurements and comparisons to gaussian random field predictions
• Geometric Interpretations of the $k$-Nearest Neighbour Distributions
• Reionization Parameter Inference from 3D Minkowski Functionals of the 21 cm Signals