Where the Wild Ones Go: Modeling Black-Hole Flares using Hybrid Drift-Kinetic Particle Simulations in GRMHD Backgrounds

The supermassive black hole at the center of our galaxy, Sagittarius A* (Sgr A*), undergoes multiple bright flaring events daily, characterized by significant luminosity increases across various wavelengths. These flares are believed to result from light emitted by non-thermal electrons generated through episodic magnetic reconnection events within the accretion flow of Sgr A*. In this presentation, I will introduce a novel hybrid numerical algorithm that integrates drift-kinetic with general relativistic magnetohydrodynamic (GRMHD) simulations of black hole accretion flows, enabling first-principles simulation of non-thermal electron dynamics. The algorithm leverages recently developed general relativistic covariant guiding-center equations of motion that lead to unprecedented simulation path lengths for charged particles in curved spacetimes. I will show results from simulations of integrating the trajectories of particle ensembles in background GRMHD accretion flows and discuss the implications of these simulations for interpreting Sgr A* flaring events.