  We investigate the Friedmann-Robertson-Walker (FRW) universe (containing dark
energy) as a non-equilibrium (irreversible) thermodynamical system by
considering the power-law correction to the horizon entropy. By taking
power-law entropy area law which appear in dealing with the entanglement of
quantum fields in and out the horizon, we determine the power-law entropy
corrected apparent horizon of the FRW universe.
