Méthodes convexes de dynamique des contacts avec friction : flux granulaire et génération d’ondes élastiques

Ces travaux concernent la modélisation des milieux granulaires denses et leurs interactions avec des phénomènes acoustiques à l’échelle du laboratoire.Les modèles modélisant le mouvement des grains qui ont été développés se classent dans la catégorie des méthodes aux éléments discrets de type non régulières, souvent référencée sous la dénomination de “dynamique des contacts”. Lorsque l’on considère des forces de frottement entre particules dans ces modèles, on obtient des problèmes d’optimisation sous contraintes qui ont la particularité d’être non-convexes. On propose ici deux approches convexes de la modélisation des forces de frottement en dynamique des contacts.Les liens entre écoulements granulaires et propagations d’ondes élastiques sont encore mal connus. En particulier, le signal acoustique émis par ces écoulements ainsi que la propagation des ondes au sein du milieu même sont des sujets de recherches actuels. On propose deux études autour de ces thématiques. Un modèle de propagation d’ondes est notamment construit, dont les variables sont les perturbations infinitésimales des positions des grains, autour de configurations supposées à l’équilibre.This work concerns the modeling of dense granular media and their interactions with acoustic phenomena at the laboratory scale.The models that are developed in order to describe the movement of grains can be range into the category of non-smooth discrete methods, often referred to as "contact dynamics". When we consider the friction forces between particles in these models, we obtain constrained optimization problems which are not convex in general. Two convex approaches to the modeling of friction forces in contact dynamics are proposed here.The links between granular flows and the elastic wave propagation are an important topic nowadays. In particular, the acoustic signal emitted by these flows as well as the wave propagation within the medium itself are current research topics. Two studies are proposed here that concerns the relations between granular assembly and generated elastic waves propagation. In particular, a wave propagation model is proposed, whith its variables defined as the infinitesimal perturbations of the grain positions around equilibrium configurations

Two-particle Bose-Einstein correlations and their Lévy parameters in PbPb collisions at sNN\sqrt{s_\mathrm{NN}} = 5.02 TeV

Two-particle Bose-Einstein momentum correlation functions are studied for charged-hadron pairs in lead-lead collisions at a center-of-mass energy per nucleon pair of $\sqrt{s_\mathrm{NN}}$ = 5.02 TeV. The data sample, containing 4.27$\times10^{9}$ minimum bias events corresponding to an integrated luminosity of 0.607 nb$^{-1}$, was collected by the CMS experiment in 2018. The experimental results are discussed in terms of a L\'evy-type source distribution. The parameters of this distribution are extracted as functions of particle pair average transverse mass and collision centrality. These parameters include the L\'evy index or shape parameter ($\alpha$), the L\'evy scale parameter ($R$), and the correlation strength parameter ($\lambda$). The source shape, characterized by $\alpha$, is found to be neither Cauchy nor Gaussian, implying the need for a full L\'evy analysis. Similarly to what was previously found for systems characterized by Gaussian source radii, a hydrodynamical scaling is observed for the L\'evy $R$ parameter. The $\lambda$ parameter is studied in terms of the core-halo model.Comment: Submitted to Physical Review C. All figures and tables can be found at http://cms-results.web.cern.ch/cms-results/public-results/publications/HIN-21-011 (CMS Public Pages

Search for high-mass resonances decaying to a jet and a Lorentz-boosted resonance in proton-proton collisions at $\sqrt{s}=13\text{ }\text{ }\mathrm{TeV}

Physics letters / B 832, 137263 (2022). doi:10.1016/j.physletb.2022.137263 Published by North-Holland Publ., Amsterda