Animations for 'Bosonic excitations of the AdS₄ Reissner-Nordström black hole'

From left to right, the animations show the poles in the complex frequency plane, the energy density spectral function, and the charge density spectral function. As the temperature increases, the sound and diffusion-like modes both become more stable. The sound mode dominates the energy density spectral function at all temperatures, whereas there is a crossover in the charge density spectral function from sound domination at low temperatures to diffusion domination at high temperatures.