  The kinetic freeze-out temperatures, $T_0$, in nucleus-nucleus collisions at
the Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC)
energies are extracted by four methods: i) the Blast-Wave model with
Boltzmann-Gibbs statistics (the BGBW model), ii) the Blast-Wave model with
Tsallis statistics (the TBW model), iii) the Tsallis distribution with flow
effect (the improved Tsallis distribution), and iv) the intercept in
$T=T_0+am_0$ (the alternative method), where $m_0$ denotes the rest mass and
$T$ denotes the effective temperature which can be obtained by different
distribution functions. It is found that the relative sizes of $T_0$ in central
and peripheral collisions obtained by the conventional BGBW model which uses a
zero or nearly zero transverse flow velocity, $\beta_T$, are contradictory in
tendency with other methods. With a re-examination for $\beta_T$ in the first
method in which $\beta_T$ is taken to be $\sim(0.40\pm0.07)c$, a recalculation
presents a consistent result with others. Finally, our results show that the
kinetic freeze-out temperature in central collisions is larger than that in
peripheral collisions.

Nuclear Theory;High Energy Physics - Experiment;High Energy Physics - Phenomenology;Nuclear Experiment