Abstract: Blazars are luminous active galaxies with a jet pointed along our line of sight. They give us a unique view into one of the most extreme particle acceleration regions in the Universe, with observations across the entire electromagnetic spectrum. Blazars are the most numerous extragalactic sources in the gamma-rays, and can have variability timescales on the order of minutes. However, the particle acceleration mechanisms that give rise to the power in these observed signals are not well understood. One method of addressing this problem intuitively is to simulate the particle energies from first principles, and then carefully calculate observables, like time lags, spectra, and polarization fraction, to compare with or predict signatures in data. In particular, Fermi-I and Fermi-II acceleration produce different distributions of particle energy, and therefore different broadband spectra.