| 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 |
mk@mat.ethz.ch
1 out of 813 entries requested
[H-factor to-date: > 0]
