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Anisotropic flows $i.e.$ azimuthal anisotropies in particle production areone of the important probes in characterizing the properties of the stronglyinteracting matter created in the relativistic heavy-ion collisions. Theseobservables are sensitive to both the transport properties as well as theequation of state (EOS) of Quantum Chromodynamics (QCD) matter. We have adoptedthe Boltzmann transport equation (BTE) in the relaxation time approximation(RTA) to describe the experimental data for harmonic flows such as ellipticflow ($v_2$), triangular flow ($v_3$), quadrangular flow ($v_4$) obtained inheavy-ion collisions at Large Hadron Collider (LHC) energies. In this analysis,we have used Tsallis statistics as an initial distribution and the TsallisBlast wave (TBW) description is used as the equilibrium distribution functionwhile describing the evolution of the particle production in BTE. We havefitted the transverse momentum spectra, $v_2$, $v_3$, and $v_4$ of identifiedhadrons such as pion, kaon, and proton for Pb-Pb and Xe-Xe collisions at theLHC energies of $\sqrt{s_{NN}}$ = 5.02 TeV and $\sqrt{s_{NN}}$ = 5.44 TeV,respectively for various centralities. Our study offers a comparative analysisbetween the two distinct collision systems operating at comparable collisionenergies. The present formulation successfully fits the experimental data for$p_T$-spectra upto $p_T$ = 8 GeV and effectively explains the anisotropic flowsdata upto $p_T$ = 10 GeV with a very favourable $\chi^2/ndf$. We observe thatthe average transverse flow velocity ($<\beta_r>$) and the kinetic freeze-outtemperature ($T$) extracted in our analysis decrease as we go towards theperipheral collisions. The azimuthal modulation amplitudes ($\rho_a$) exhibitan increasing pattern as one moves from central to peripheral collisions inboth the Pb-Pb and Xe-Xe nuclei interactions.

Exploring Anisotropic flow via the Boltzmann Transport Equation Employing the Tsallis Blast Wave Description at LHC energies