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The current studies of cosmic rays are focused on most energetic particlesentering the atmosphere and producing a single Extensive Air Shower (EAS).There are, however, models predicting that interactions of high energyparticles may result in Cosmic-Ray Ensembles (CRE) created far from the Earth.They could be observed as some number of correlated air showers of relativelylow energies spread over a large area. The objective of the Cosmic RayExtremely Distributed Observatory (CREDO) is to search for CRE using allavailable data from different detectors and observatories including even smallbut numerous detectors spread over large areas.  Interpretation of such measurements require precise information on propertiesof EAS in a very wide energy spectrum. Low energy EAS are analysed using eventsfrom CORSIKA, the program performing air shower simulations. The primary cosmicray particle energy range extends from 1TeV up to 4000TeV. The secondaryparticles at the ground level are studied in order to obtain their densityfluctuations and correlations in location. Although the fluctuations observedin multiplicity distributions are consistent with random the more detailedanalysis reveals that near a selected particle the density of other particlesis enhanced over that expected in the absence of correlations. The results ofthis analysis may be useful in further calculations, for example to obtainprobability of detection of an EAS without special simulations.

Particle density fluctuations and correlations in low energy Cosmic-Ray showers simulated with CORSIKA