The multiplicity per rapidity of the well-identified particles p, pþ , k  , k þ, p,
 p, and p  p  measured in different
high-energy experiments, at energies ranging from 6.3 to 5500 GeV, is successfully compared with the Cosmic Ray Monte
Carlo event generator. For these rapidity distributions, we introduce a theoretical approach based on fluctuations and
correlations (Carruthers approach) and another one based on statistical thermal assumptions (hadron resonance gas
approach). Both approaches are fitted to both sets of results deduced from experiments and simulations. We found thatCarruthers approach reproduces well the full range of multiplicity per rapidity for all produced particles, at the various
energies, while the HRG approach fairly describes the results within a narrower rapidity range. While the Carruthers
approach seems to match well with the Gaussian normal distribution, ingredients such as flow and interactions shouldfirst incorporated in the HRG approach. We conclude that fluctuations, correlations, interactions, and flow, especially infinal state, assure that the produced particles become isotropically distributed.