  We compute the Lyapunov exponents for test particles orbiting in unstable
circular trajectories around D-dimensional Reissner-Nordstr\"om (RN) black
holes, scrutinizing instances of the chaos bound violation. Notably, we
discover that an increase in particle angular momentum exacerbates the breach
of the chaos bound. Our research centrally investigates the correlation between
black hole thermodynamic phase transitions and the breaking of the chaos limit.
Findings suggest that the chaos bound can only be transgressed within
thermodynamically stable phases of black holes. Specifically, in the
four-dimensional scenario, the critical point of the thermodynamic phase
transition aligns with the threshold condition that delineates the onset of
chaos bound violation. These outcomes underscore a deep-rooted link between the
thermodynamic stability of black holes and the constraints imposed by the chaos
bound on particle dynamics.
