  We present an overview of a proposal in relativistic proton-proton ($pp$)
collisions emphasizing the thermal or kinetic freeze-out stage in the framework
of the Tsallis distribution. In this paper we take into account the chemical
potential present in the Tsallis distribution by following a two step
procedure. In the first step we used the redundancy present in the variables
such as the system temperature, $T$, volume, $V$, Tsallis exponent, $q$,
chemical potential, $\mu$, and performed all fits by effectively setting to
zero the chemical potential. In the second step the value $q$ is kept fixed at
the value determined in the first step. This way the complete set of variables
$T, q, V$ and $\mu$ can be determined. The final results show a weak energy
dependence in $pp$ collisions at the centre-of-mass energy $\sqrt{s}= 6$ GeV to
13 TeV. The chemical potential $\mu$ at kinetic freeze-out shows an increase
with beam energy. This simplifies the description of the thermal freeze-out
stage in $pp$ collisions as the values of $T$ and of the freeze-out radius $R$
vary only mildly over a wide range of beam energies.
