1 selected entry

Article	E.N.M. Cirillo, M. Colangeli, A. Di Francesco, M. Kröger, L. Rondoni Particle traps and stationary currents captured by an active 1D model Physica A 642 (2024) 129763
We investigate the onset of a non-equilibrium phase transition in a one-dimensional ring, constituted by two urns connected by two strands, called active and passive channels. A set of .. particles move inside the ring with constant individual speeds; collisions against the channel entries produce reflections with certain probabilities, that differ between active and passive channels. The microscopic dynamics differs from a classical 1D billiard owing to the presence of an interaction mechanism acting inside the active channel, which potentially reverses velocities of its particles. We outline a general theory for the feedback-controlled system which describes quantitatively the phase diagram of the model, based on a mixing property, that is analytically predicted and numerically verified. The probability distributions we define and evolve in time are 1D projections of uniform distributions on ..-dimensional spherical surfaces, with d≥1 and d=∞ Consequently results that apply to higher dimensional systems are recovered. for LaTeX users @article{ENMCirillo2024-642,  author = {E. N. M. Cirillo and M. Colangeli and A. Di Francesco and M. Kr\"oger and L. Rondoni},  title = {Particle traps and stationary currents captured by an active 1D model},  journal = {Physica A},  volume = {642},  pages = {129763},  year = {2024} } \bibitem{ENMCirillo2024-642} E.N.M. Cirillo, M. Colangeli, A. Di Francesco, M. Kr\"oger, L. Rondoni, Particle traps and stationary currents captured by an active 1D model, Physica A {\bf 642} (2024) 129763. ENMCirillo2024-642 E.N.M. Cirillo, M. Colangeli, A. Di Francesco, M. Kr\"oger, L. Rondoni Particle traps and stationary currents captured by an active 1D model Physica A,642,2024,129763