A relation between diffusion, temperature and the cosmological constant

摘要

We show that the temperature of a diffusing fluid with the diffusion constant kappa(2) in an expanding universe approaches a constant limit T infinity = kappa(2)/H in its final de Sitter stage characterized by the horizon 1/H determined by the Hubble constant. If de Sitter surface temperature in the final equilibrium state coincides with the fluid temperature, then the cosmological constant Lambda = 3H(2) = 6 pi kappa(2).