A novel probe of bubble size statistics and time scales of the epoch of reionization using the contour Minkowski Tensor. (arXiv:1712.09195v2 [astro-ph.CO] UPDATED)

<a href="http://arxiv.org/find/astro-ph/1/au:+Kapahtia_A/0/1/0/all/0/1">Akanksha Kapahtia</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Chingangbam_P/0/1/0/all/0/1">Pravabati Chingangbam</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Appleby_S/0/1/0/all/0/1">Stephen Appleby</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Park_C/0/1/0/all/0/1">Changbom Park</a>

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.

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.

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