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A detailed study of the transverse momentum distributions of chargedparticles produced in proton - proton collisions at LHC energies is presented.This is done using a thermodynamically consistent form of the Tsallisdistribution. All variables used are thermodynamical and in particular, thetemperature $T$ follows from the standard thermodynamic definition as being thederivative of the energy with respect to the (Tsallis) entropy. The momentumdistribution of the final state particles obtained describe the transversemomentum distributions very well. The values of the parameters are determinedfrom measurements by the ALICE, ATLAS and CMS collaborations and are discussedin detail. In particular, the Tsallis parameter, $q$ is found with consistentvalues for all the transverse momentum distributions despite large differencesin kinematic regions and shows a slight increase with beam energy, reaching avalue of 1.15 at 7 TeV. It is concluded that the hadronic system created inhigh-energy p - p collisions can be seen as obeying Tsallis thermodynamics.

Transverse Momentum Distributions in proton - proton Collisions at LHC Energies and Tsallis Thermodynamics