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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2017-01-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | https://doi.org/10.1051/proc/201760246 |
| _version_ | 1797967081878061056 |
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| author | Jacob Emmanuel Luçon Éric Ménard Laurent Toninelli Cristina Zeng Xiaolin |
| author_facet | Jacob Emmanuel Luçon Éric Ménard Laurent Toninelli Cristina Zeng Xiaolin |
| author_sort | Jacob Emmanuel |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-11T02:24:29Z |
| format | Article |
| id | doaj.art-262dfe7bccd94645a91f86c762cc8949 |
| institution | Directory Open Access Journal |
| issn | 2267-3059 |
| language | English |
| last_indexed | 2024-04-11T02:24:29Z |
| publishDate | 2017-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj.art-262dfe7bccd94645a91f86c762cc89492023-01-02T22:52:04ZengEDP 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 |
| spellingShingle | Jacob Emmanuel Luçon Éric Ménard Laurent Toninelli Cristina Zeng Xiaolin Interacting particle systems* ESAIM: Proceedings and Surveys |
| title | Interacting particle systems* |
| title_full | Interacting particle systems* |
| title_fullStr | Interacting particle systems* |
| title_full_unstemmed | Interacting particle systems* |
| title_short | Interacting particle systems* |
| title_sort | interacting particle systems |
| 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 |