We study the nonequilibrium spatial correlations of the density fluctuations for a selected reagent as well as the spatial correlations of its energetic states in a stationary state of a model chemical system. In the considered model the reagent of interest appears as a product of a binary process and vanishes as the result of a fast unimolecular decay. We present analytical formulae for all correlation functions for the case when the lifetime of the reagent is short enough to treat the motion of its molecules as a ballistic rather than a diffusive one. We demonstrate that the results obtained from these formulae agree well with correlations directly measured in molecular dynamics simulations.

PACS numbers: 05.40.-a, 82.20.Wt