A comprehensive analysis of Barrow holographic Chaplygin gas model reconstruction and its cosmological consequences

In the current study, we have reconstructed variable modified Chaplygin gas in the Barrow holographic dark energy framework motivated by many recent studies. We have validated the generalized second law of thermodynamics for the reconstructed model. The permissible values of the reconstructed model have been determined by the recent astrophysical and cosmological observational data. The Hubble parameter is presented in terms of the observable parameters and redshift $z$ and other model parameters. From the Stern data set and joint data set of Stern with BAO and CMB observations, the bounds of the model parameters $(B_0,{\Omega }_{bhd0})$ are obtained by the ${\chi }^2$ minimization procedure. The best-fit value of the distance modulus $\mu \left(z\right)$ against redshift $z$ is obtained for the reconstructed model and it is consistent with the SNe Ia union2 sample data.