The value of the cosmological constant obtained according to the quantum field theory is 10120 times greater than the observed small value of the cosmological constant. Such huge discrepancy with the cosmological constant would cause a vacuum catastrophe. Since the discrepancy involved with the cosmological constant is unimaginably very large, therefore, molecular diffusion model has been introduced in this paper as an alternative to dark energy in order to explain the accelerated expansion of the Universe. The molecular diffusion model considers the distribution of large-scale structures as molecules inside a vacuum chamber. Since large-scale structures are ensemble of atoms, therefore, they can be treated as molecules possessing finite am...