Abstract:
We study the evolution of the configuration entropy of HI distribution in the post-reionization era
assuming different time evolution of HI bias. We describe time evolution of linear bias of HI distribution
using a simple form b(a) = b0a
n with different index n. The derivative of the configuration entropy rate is
known to exhibit a peak at the scale factor corresponding to the Λ-matter equality in the unbiased ΛCDM
model. We show that in the ΛCDM model with time-dependent linear bias, the peak shifts to smaller scale
factors for negative values of n. This is related to the fact that the growth of structures in the HI density field
can significantly slow down even before the onset of Λ domination in the presence of a strong time evolution
of the HI bias. We find that the shift is linearly related to the index n. We obtain the best fit relation between
these two parameters and propose that identifying the location of this peak from observations would allow
us to constrain the time evolution of HI bias within the framework of the ΛCDM model
