Power Law f ( Q ) $f(Q)$ Cosmology with Bulk Viscous Fluid

In this work, a power law $f\left(Q\right)$ model is explored, specifically, $f\left(Q\right)=\alpha Q^n$, along with viscous matter fluid having transport coefficient $\zeta ={\zeta }_0\sqrt{\Omega }+{\zeta }_1\Omega H$. The corresponding analytical solution is derived and then confronted with recent cosmic data. The Markov Chain Monte Carlo (MCMC) sampling technique is utilized to estimate the mean value of arbitrary parameters, by incorporating Cosmic Chronometers and recently published Pantheon+Analysis samples. In addition, some cosmological parameters are reconstructed by resampling the chains obtained by emcee, incorporating 6000 samples. It is found that the matter-energy density depicts the expected positive behavior, whereas the effective pressure indicates the negative behavior that is leading the accelerating expansion, which is further predicted in the effective EoS parameter. Further, the asymptotic nature of the assumed model is investigated by invoking phase-space analysis. It is concluded that the assumed viscous $f\left(Q\right)$ model successfully predicts an evolution of the universe from decelerated epoch to stable accelerated de-Sitter epoch.