| 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},
doi = {10.1016/j.physa.2024.129763}
}
\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 |
mk@mat.ethz.ch
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