A novel probe of bubble size statistics and time scales of the epoch of reionization using the contour Minkowski Tensor

Abstract

We employ the rank-2 {\em contour} Minkowski Tensor in two dimensions to probe length and time scales of ionized bubbles during the epoch of reionization. We demonstrate that the eigenvalues of this tensor provide excellent probes of the distribution of the sizes of ionized bubbles, and from it the characteristic bubble sizes, at different redshifts. We show that ionized bubbles are not circular, and hence not spherical in three dimensions, as is often assumed for simplified analytic arguments. We quantify their shape anisotropy by using the ratio of the two eigenvalues. The shape parameter provides the characteristic time epochs when bubble mergers begin and end. Our method will be very useful to reconstruct the reionization history using data of the brightness temperature field.

22 pages, matches published version, factor of 2 typo in definition of CMT corrected

References in corpus (13)

• 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
• The morphology of HII regions during reionization
• Quantifying the non-Gaussianity in the EoR 21-cm signal through bispectrum
• Bubble size statistics during reionization from 21-cm tomography
• The morphology of cosmological reionization by means of Minkowski Functionals
• The Topology of Cosmological Reionization
• Sensitivity for 21cm Bispectrum from Epoch of Reionization
• Model-independent analyses of non-Gaussianity in Planck CMB maps using Minkowski Functionals
• Minkowski Tensors in Two Dimensions - Probing the Morphology and Isotropy of the Matter and Galaxy Density Fields
• Tensor Minkowski Functionals for random fields on the sphere
• Primordial non-Gaussian signatures in CMB polarization
• Source Mergers and Bubble Growth During Reionization

Cited by in corpus (21)

• Measuring the topology of reionization with Betti numbers
• Stages of Reionization as revealed by the Minkowski Functionals
• 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
• Search for anomalous alignments of structures in Planck data using Minkowski Tensors
• Minkowski Functionals of SDSS-III BOSS : Hints of Possible Anisotropy in the Density Field?
• The impact of non-Gaussianity on the Epoch of Reionization parameter forecast using 21-cm power spectrum measurements
• The HI-halo mass relation at redshift $z\sim 1$ from the Minkowski functionals of 21 cm intensity maps
• Probing early universe through redshifted 21-cm signal: Modelling and observational challenges
• Characterization of Anisotropic Gaussian Random Fields by Minkowski Tensors
• Persistent topology of the reionization bubble network. II: Evolution & Classification
• The nature of non-Gaussianity and statistical isotropy of the 408 MHz Haslam synchrotron map
• Opening Reionization: Quantitative Morphology of the Epoch of Reionization and Its Connection to the Cosmic Density Field
• Ensemble Average of Three-Dimensional Minkowski Tensors of a Gaussian Random Field in Redshift Space
• Cosmological Parameter Estimation from the Two-Dimensional Genus Topology -- Measuring the Expansion History using the Genus Amplitude as a Standard Ruler
• Minkowski Tensors in Redshift Space -- Beyond the Plane Parallel Approximation
• Morphology of CMB fields -- effect of weak gravitational lensing
• The geometrical meaning of statistical isotropy of smooth random fields in two dimensions
• Probing the Epoch of Reionization using synergies of line intensity mapping
• Topology of Reionisation times: concepts, measurements and comparisons to gaussian random field predictions
• Particle production during inflation: constraints expected from redshifted 21 cm observations from the epoch of reionization