Implications of multi-axion dark matter on structure formation

Axions are candidates for dark matter in the universe.We develop an accurate Boltzmann code to calculate linear growth of plasma. As interesting example, we investigate a mixed model consisting cold (CDM) and two-axion matter. We analyze structure numerically analytically. find that effective single axion with mass abundance is useful characterize cosmology. Moreover, generalize description multi-axion also compare results those warm (WDM) model. halo functions by using Press-Schechter perturbations then determine function as masses abundance.