  Non-reciprocal interactions are present in many systems out of equilibrium.
The rate of entropy production is a measure that quantifies the time
irreversibility of a system, and thus how far it is from equilibrium. In this
work, we introduce a non-motile active particle system where activity
originates from asymmetric, pairwise interaction forces that result in an
injection of energy at the microscopic scale. We calculate stationary
correlation functions and entropy production rate in three exactly solvable
cases, and analyse a more general case in a perturbation theory as an expansion
in weak interactions using a fully microscopic description. Our results show
that equilibrium may be recovered by adjusting the diffusion constants despite
non-reciprocity, revealing an equivalence in the absolute amplitude of the
force and diffusivity. We support our analytical results with numerical
simulations.
