Interacting particle systems*

We present in this paper a number of recent and various works of statistical physics, which involve an interacting particle system. In kinetically constrained models, the particles are placed on ℤd, with local constraints on the dynamics, that can slow down the evolution and reproduce the behaviour...

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Main Authors: Jacob Emmanuel, Luçon Éric, Ménard Laurent, Toninelli Cristina, Zeng Xiaolin
Format: Article
Language:English
Published: EDP Sciences 2017-01-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://doi.org/10.1051/proc/201760246
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spelling doaj-262dfe7bccd94645a91f86c762cc89492021-07-15T14:13:46ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592017-01-016024626510.1051/proc/201760246proc186013Interacting particle systems*Jacob EmmanuelLuçon ÉricMénard LaurentToninelli CristinaZeng XiaolinWe present in this paper a number of recent and various works of statistical physics, which involve an interacting particle system. In kinetically constrained models, the particles are placed on ℤd, with local constraints on the dynamics, that can slow down the evolution and reproduce the behaviour of glassy systems. The contact process (or Suspected-Infected-Susceptible) is a simple model for the spread of an infection on a (general) graph. In the Kuramoto model, the motion of the particles is determined by a diffusion system with mean-field interaction. Finally, in the modeling of the vertex reinforced jump process (a particle that interacts with itself via its path), we show an unexpected link with an interacting particle system.https://doi.org/10.1051/proc/201760246
collection DOAJ
language English
format Article
sources DOAJ
author Jacob Emmanuel
Luçon Éric
Ménard Laurent
Toninelli Cristina
Zeng Xiaolin
spellingShingle Jacob Emmanuel
Luçon Éric
Ménard Laurent
Toninelli Cristina
Zeng Xiaolin
Interacting particle systems*
ESAIM: Proceedings and Surveys
author_facet Jacob Emmanuel
Luçon Éric
Ménard Laurent
Toninelli Cristina
Zeng Xiaolin
author_sort Jacob Emmanuel
title Interacting particle systems*
title_short Interacting particle systems*
title_full Interacting particle systems*
title_fullStr Interacting particle systems*
title_full_unstemmed Interacting particle systems*
title_sort interacting particle systems*
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2017-01-01
description We present in this paper a number of recent and various works of statistical physics, which involve an interacting particle system. In kinetically constrained models, the particles are placed on ℤd, with local constraints on the dynamics, that can slow down the evolution and reproduce the behaviour of glassy systems. The contact process (or Suspected-Infected-Susceptible) is a simple model for the spread of an infection on a (general) graph. In the Kuramoto model, the motion of the particles is determined by a diffusion system with mean-field interaction. Finally, in the modeling of the vertex reinforced jump process (a particle that interacts with itself via its path), we show an unexpected link with an interacting particle system.
url https://doi.org/10.1051/proc/201760246
work_keys_str_mv AT jacobemmanuel interactingparticlesystems
AT luconeric interactingparticlesystems
AT menardlaurent interactingparticlesystems
AT toninellicristina interactingparticlesystems
AT zengxiaolin interactingparticlesystems
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