1 selected entry has been cited at least 2 times (SCI, 04-05-2024)

Article	E.N.M. Cirillo, M. Colangeli, A. Di Francesco, M. Kröger, L. Rondoni Transport and nonequilibrium phase transitions in polygonal urn models Chaos 32 (2022) 093127
We study the deterministic dynamics of N point particles moving at a constant speed in a 2D table made of two polygonal urns connected by an active rectangular channel, which applies a feedback control on the particles, inverting the horizontal component of their velocities when their number in the channel exceeds a fixed threshold. Such a bounce-back mechanism is non-dissipative: it preserves volumes in phase space. An additional passive channel closes the billiard table forming a circuit in which a stationary current may flow. Under specific constraints on the geometry and on the initial conditions, the large N limit allows nonequilibrium phase transitions between homogeneous and inhomogeneous phases. The role of ergodicity in making a probabilistic theory applicable is discussed for both rational and irrational urns. The theoretical predictions are compared with the numerical simulation results. Connections with the dynamics of feedback-controlled biological systems are highlighted. for LaTeX users @article{ENMCirillo2022-32,  author = {E. N. M. Cirillo and M. Colangeli and A. Di Francesco and M. Kr\"oger and L. Rondoni},  title = {Transport and nonequilibrium phase transitions in polygonal urn models},  journal = {Chaos},  volume = {32},  pages = {093127},  year = {2022} } \bibitem{ENMCirillo2022-32} E.N.M. Cirillo, M. Colangeli, A. Di Francesco, M. Kr\"oger, L. Rondoni, Transport and nonequilibrium phase transitions in polygonal urn models, Chaos {\bf 32} (2022) 093127. ENMCirillo2022-32 E.N.M. Cirillo, M. Colangeli, A. Di Francesco, M. Kr\"oger, L. Rondoni Transport and nonequilibrium phase transitions in polygonal urn models Chaos,32,2022,093127