Séminaire / Seminar GReCO |
| « Stellar Dynamics and Statistical Closure Theory » |
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Sofia Flores Morales |
| In this talk, I present stellar dynamics as a testbed for statistical closure theory. I focus on the process of "Vector Resonant Relaxation," a long-range, non-linear, and correlated relaxation mechanism that drives the reorientation of stellar orbital planes around a supermassive black hole. This process provides a natural setting to evaluate the predictive power of generic statistical closure schemes for dynamical correlation functions, in the fully non-linear and non-perturbative regime. I develop a numerical scheme that explicitly implements the seminal "Martin-Siggia-Rose" formalism at one-loop order via an iterative fixed-point approach. Using this framework, I quantitatively validate the ability of the formalism to predict (i) the two-point two-time correlation function; (ii) the renormalised three-point interaction vertex; (iii) the three-point three-time correlation function. I further compare these predictions to direct measurements from numerical simulations, and show that renormalisation techniques can successfully capture the statistical behaviour of strongly non-linear gravitational dynamics. |
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lundi 5 janvier 2026 - 11:00 Salle des séminaires Évry Schatzman Institut d'Astrophysique de Paris |
| Pages web du séminaire / Seminar's webpage |