Rosalba Garcia Milan
(Cambridge)

 
 
Abstract:
 
Non-reciprocal interactions are very common in natural systems. They can be used to explain the emergence of certain patterns such as bird flocking ^[1]. Generally, systems with non-reciprocal interactions are out of equilibrium, although they can obey detailed balance under certain conditions ^[2]. 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.