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We present an analysis of the pairwise velocity statistics from a suite ofcosmological N-body simulations describing the "RunningFriedmann-Lema\^itre-Robertson-Walker" (R-FLRW) cosmological model. This modelis based on quantum field theory in a curved space-time and extends{\Lambda}CDM with a time-evolving vacuum energy density. To enforce localconservation of matter a time-evolving gravitational coupling is also included.Our results constitute the first study of velocities in the R-FLRW cosmology,and we also compare with other dark energy simulations suites, repeating thesame analysis. We find a strong degeneracy between the pairwise velocity and{\sigma}_8 at z=0 for almost all scenarios considered, which remains even whenwe look back to epochs as early as z=2. We also investigate various CoupledDark Energy models, some of which show minimal degeneracy, and revealinteresting deviations from {\Lambda}CDM which could be readily exploited byfuture cosmological observations to test and further constrain ourunderstanding of dark energy.

Pairwise velocities in the "Running FLRW" cosmological model