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In the present work, we study the recent collision energy and multiplicitydependence of the charged particle transverse momentum spectra as measured bythe ALICE collaboration in $pp$ collisions at $\sqrt{s}$ = 5.02 and 13 TeVusing the non-extensive Tsallis distribution and the Boltzmann-Gibbs Blast Wave(BGBW) model. A thermodynamically consistent form of the Tsallis distributionis used to extract the kinetic freeze-out parameters from the transversemomentum spectra of charged particles at mid-rapidity. In addition, acomprehensive study of fitting range dependence of transverse momentum spectraon the freeze-out parameters is done using Tsallis statistics. Theapplicability of BGBW model is verified by fitting the transverse momentumspectra of the bulk part ($\sim 2.5~ {\rm GeV}/c$)for both 5.02 and 13 TeVenergies and also in different multiplicity classes. The radial flow, $<\beta>$is almost independent of collision energy and multiplicity whereas the behaviorof kinetic freeze-out temperature significantly depends on multiplicityclasses. It is found that the Tsallis distribution generally leads to a betterdescription for the complete transverse momentum spectra whereas the BGBW modelexplains the bulk part of the system.

journal of physics. g, nuclear and particle physics

Event multiplicity, transverse momentum and energy dependence of charged  particle production, and system thermodynamics in $pp$ collisions at the  Large Hadron Collider