Nonequilibrium phase transitions in feedback-controlled three-dimensional particle dynamics

We consider point particles moving inside spherical urns connected by cylindrical channels whose axes both lie along the horizontal direction. The microscopic dynamics differ from that of standard 3D billiards because of a kind of Maxwell's demon that mimics clogging in one of the two channels,...

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Main Authors: Emilio N. M. Cirillo, Matteo Colangeli, Martin Kröger, Lamberto Rondoni
Format: Article
Language:English
Published: American Physical Society 2023-10-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.043063
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author Emilio N. M. Cirillo
Matteo Colangeli
Martin Kröger
Lamberto Rondoni
author_facet Emilio N. M. Cirillo
Matteo Colangeli
Martin Kröger
Lamberto Rondoni
author_sort Emilio N. M. Cirillo
collection DOAJ
description We consider point particles moving inside spherical urns connected by cylindrical channels whose axes both lie along the horizontal direction. The microscopic dynamics differ from that of standard 3D billiards because of a kind of Maxwell's demon that mimics clogging in one of the two channels, when the number of particles flowing through it exceeds a fixed threshold. Nonequilibrium phase transitions, measured by an order parameter, arise. The coexistence of different phases and their stability, as well as the linear relationship between driving forces and currents, typical of the linear regime of irreversible thermodynamics, are obtained analytically within the proposed kinetic theory framework, and are confirmed with remarkable accuracy by numerical simulations. This purely deterministic dynamical system describes a kind of experimentally realizable Maxwell's demon, that may unveil strategies to obtain mass separation and stationary currents in a conservative particle model.
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spelling doaj.art-d8a1ab38f01e45a29e55aa3b2cef837e2024-04-12T17:35:12ZengAmerican Physical SocietyPhysical Review Research2643-15642023-10-015404306310.1103/PhysRevResearch.5.043063Nonequilibrium phase transitions in feedback-controlled three-dimensional particle dynamicsEmilio N. M. CirilloMatteo ColangeliMartin KrögerLamberto RondoniWe consider point particles moving inside spherical urns connected by cylindrical channels whose axes both lie along the horizontal direction. The microscopic dynamics differ from that of standard 3D billiards because of a kind of Maxwell's demon that mimics clogging in one of the two channels, when the number of particles flowing through it exceeds a fixed threshold. Nonequilibrium phase transitions, measured by an order parameter, arise. The coexistence of different phases and their stability, as well as the linear relationship between driving forces and currents, typical of the linear regime of irreversible thermodynamics, are obtained analytically within the proposed kinetic theory framework, and are confirmed with remarkable accuracy by numerical simulations. This purely deterministic dynamical system describes a kind of experimentally realizable Maxwell's demon, that may unveil strategies to obtain mass separation and stationary currents in a conservative particle model.http://doi.org/10.1103/PhysRevResearch.5.043063
spellingShingle Emilio N. M. Cirillo
Matteo Colangeli
Martin Kröger
Lamberto Rondoni
Nonequilibrium phase transitions in feedback-controlled three-dimensional particle dynamics
Physical Review Research
title Nonequilibrium phase transitions in feedback-controlled three-dimensional particle dynamics
title_full Nonequilibrium phase transitions in feedback-controlled three-dimensional particle dynamics
title_fullStr Nonequilibrium phase transitions in feedback-controlled three-dimensional particle dynamics
title_full_unstemmed Nonequilibrium phase transitions in feedback-controlled three-dimensional particle dynamics
title_short Nonequilibrium phase transitions in feedback-controlled three-dimensional particle dynamics
title_sort nonequilibrium phase transitions in feedback controlled three dimensional particle dynamics
url http://doi.org/10.1103/PhysRevResearch.5.043063
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AT martinkroger nonequilibriumphasetransitionsinfeedbackcontrolledthreedimensionalparticledynamics
AT lambertorondoni nonequilibriumphasetransitionsinfeedbackcontrolledthreedimensionalparticledynamics