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We investigate the identified hadrons transverse momentum ($p_{\rm T}$)spectra in Pb-Pb (Pb-Pb, Xe-Xe, p-Pb) collisions at $\sqrt{s_{\rm NN}}=$ 2.76(5.02, 5.44, 5.02) TeV in the framework of Tsallis-blast wave (TBW) model witha linear transverse velocity profile and with a constant velocity profile. Inthis model, the Tsallis temperature ($T$), the average radial flow velocity($\langle \beta \rangle$) and the degree of non-equilibrium ($q$) of the systemare common for all hadrons when a combined fit is performed to the $p_{\rm T}$spectra of different particles at a given centrality. It is found that themodel can describe the particle spectra well up to 3 GeV/c. For both profiles,the transverse flow velocity decreases from central to peripheral collisionswhile the non-extensive parameter $q$ exhibits the opposite behavior,indicating a more rapid expansion and less off-equilibrium of the system inmore central collisions. Moreover, we observe that in central collisions$\langle \beta \rangle$ and $q$ ($T$) from the fit with the linear profile aresmaller (is slightly larger) than those (that) with the constant profile, whilein peripheral collisions $\langle \beta \rangle$, $T$ and $q$ from the formerare compatible with those from the latter. We also derived and discussed therelation between the Tsallis temperature and the thermal temperature. Inaddition, to check whether a scenario of an early freeze-out of strangeparticles at the LHC exists, the particle spectra are investigated by groupingthem into strange and non-strange hadrons. The combined fit gives an insight onthe degree of non-equilibrium, the radial flow and the Tsallis temperature ofthe system at the kinetic decoupling. It provides a comparison between theresults at different energies in the same collision system and the results indifferent collision systems at the same or similar energy.

Identified particle spectra in Pb-Pb, Xe-Xe and p-Pb collisions with Tsallis blast-wave model