A holographic model of dark energy and the thermodynamics of a non-flat accelerated expanding universe

Motivated by recent results on non-vanishing spatial curvature [ 1] we employ a holographic model of dark energy to investigate the validity of the first and second laws of thermodynamics in a non-flat ( closed) universe enclosed by the apparent horizon RA and the event horizon measured from the sphere of the horizon named L. We show that for the apparent horizon the first law is roughly respected for different epochs while the second law of thermodynamics is respected, while for L as the system's IR cut-off the first law is broken and the second law is respected for the special range of the deceleration parameter. It is also shown that for the late-time universe L is equal to RA and the thermodynamic laws hold when the universe has non-vanishing curvature. De. ning the fluid temperature as being proportional to the horizon temperature the range for the coefficient of proportionality is obtained, provided that the generalized second law of thermodynamics holds.