Fingerprint of Tsallis statistics in cosmic ray showers
  We investigate the impact of the Tsallis non extensive statistics introduced by intrinsic temperature fluctuations in p-Air ultra high energy interactions on observables of cosmic ray showers, such as the slant depth of the maximum Xmax and the muon number on the ground $n_{\mu}$. The results show that these observables are significantly affected by temperature fluctuations and agree qualitatively with the Heitler model predictions. 
M. Abrah\~ao, W. G. Dantas, R. M. de Almeida, D. R. Gratieri, T. J. P.   Penna
hep-ph