Entropy production of non-reciprocal interactions

Non-reciprocal interactions are very common in natural systems. They can be used to explain the emergence of certain patterns such as bird flocking. Generally, systems with non-reciprocal interactions are out of equilibrium, although they can obey detailed balance under certain conditions. In this talk, I will present a particle model with non-reciprocal pair interactions between two species of drift-diffusive particles, say dogs and sheep. Following a path integral approach, I will discuss the stationary two-point correlation function and the entropy production. Even in the absence of drift, detailed balance is broken by non-reciprocity except for a particular choice of pair interactions.

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