The Boltzmann distribution is primarily applicable at high temperatures where classical physics dominates. At low temperatures, quantum effects become significant, leading to the need for Bose-Einstein or Fermi-Dirac statistics, depending on the particle type. In high-temperature scenarios, the kinetic energy of particles overshadows quantum mechanical influences. This shift in statistical behavior is crucial for accurately describing particle distributions in different thermal conditions. Understanding these distinctions is essential for studying thermodynamic systems.