Simulation d'un système à N corps

Résumé

vignette| Une simulation à N corps de la formation cosmologique d'un amas de galaxies dans un univers en expansion. En physique et en astronomie, une simulation à N corps est une simulation d'un système dynamique de particules, généralement sous l'influence de forces physiques, telles que la gravité (voir problème à N corps pour d'autres applications). Les simulations à N corps sont des outils largement utilisés en astrophysique, depuis l'étude de la dynamique de systèmes à quelques corps comme le système Terre - Lune - Soleil, jusqu'à la compréhension de l'évolution de la structure à grande échelle de l'univers observable. En cosmologie, les simulations à N corps sont utilisées pour étudier les processus de formation de structures non linéaires tels que les filaments de galaxies et les halos de galaxies sous l'influence de la matière noire. Des simulations directes à N corps sont utilisées pour étudier l'évolution dynamique des amas d'étoiles. Nature des particules Les «

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https://fr.wikipedia.org/wiki/Simulation_d'un_syst%C3%A8me_%C3%A0_N_corps

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This class combines an analytical and finite elements modeling (FEM) simulations approach to scaling laws in MEMS/NEMS. The dominant physical effects and scaling effects when downsizing sensors and actuators in microsystems are discussed, across a broad range of actuation principles.

Cosmology is the study of the structure and evolution of the universe as a whole. This course describes the principal themes of cosmology, as seen from the point of view of observations.

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Séances de cours associées (35)

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ACACIA: a new method to produce on-the-fly merger trees in the RAMSES code

Mladen Ivkovic

The implementation of ACACIA, a new algorithm to generate dark matter halo merger trees with the Adaptive Mesh Refinement code RAMSES, is presented. The algorithm is fully parallel and based on the Message Passing Interface. As opposed to most available merger tree tools, it works on the fly during the course of the N-body simulation. It can track dark matter substructures individually using the index of the most bound particle in the clump. Once a halo (or a sub-halo) merges into another one, the algorithm still tracks it through the last identified most bound particle in the clump, allowing to check at later snapshots whether the merging event was definitive, or whether it was only temporary, with the clump only traversing another one. The same technique can be used to track orphan galaxies that are not assigned to a parent clump anymore because the clump dissolved due to numerical overmerging. We study in detail the impact of various parameters on the resulting halo catalogues and corresponding merger histories. We then compare the performance of our method using standard validation diagnostics, demonstrating that we reach a quality similar to the best available and commonly used merger tree tools. As a proof of concept, we use our merger tree algorithm together with a parametrized stellar-mass-to-halo-mass relation and generate a mock galaxy catalogue that shows good agreement with observational data.

OXFORD UNIV PRESS2022

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A multi-class framework for a pedestrian cell transmission model accounting for population heterogeneity

Guy Alexander Cooper

This work is an extension of PedCTM, an aggregate and transient cell transmission model for multidirectional pedestrian flows in which pedestrian characteristics are assumed to be homogeneous across the population considered. Critically, one fundamental diagram relating pedestrian speed and flow to local pedestrian density is employed across the entire population. This work extends the model to population heterogeneity with a multi-class approach wherein each sub-population is assigned its own characteristic fundamental diagram. The model presented requires the implementation of an update cycle to minimize numerical dis- persion of pedestrians across all classes. In addition, multi-class dynamics introduces an element of competition in determining the flow constraints of the various classes. A priority scheme is implemented that allows for static, dynamic and stochastic determination of flow priorities throughout the network over the course of simulation. An attempt was made to base the class-specific fundamental diagrams off of inference from a dataset related to the PedFlux collaboration. Ultimately, however, the implementation made use of the Kladek formula for the speed-density relation. Preliminary simulations and results are presented to serve as a proof of concept.

2014

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Simulations of galactic disks including a dark baryonic component

Daniel Pfenniger, Yves Revaz

The near proportionality between HI and dark matter in outer galactic disks prompted us to run N-body simulations of galactic disks in which the observed gas content is supplemented by a dark gas component representing between zero and five times the visible gas content. While adding baryons in the disk of galaxies may solve some issues, it poses the problem of disk stability. We show that the global stability is ensured if the ISM is multiphased, composed of two partially coupled phases, a visible warm gas phase and a weakly collisionless cold dark phase corresponding to a fraction of the unseen baryons. The phases are subject to stellar and UV background heating and gas cooling, and their transformation into each other is studied as a function of the coupling strength. This new model, which still possesses a dark matter halo, fits the rotation curves as well as the classical CDM halos, but is the only one to explain the existence of an open and contrasting spiral structure, as observed in the outer HI disks

2009

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