Thermodynamical Behaviors of Nonflat Brans-Dicke Gravity with Interacting New Agegraphic Dark Energy

The dynamical behaviors of Brans–Dicke gravity with the interacting new agegraphic dark energy (NADE) model are studied in this paper. First of all, by considering the dark energy density ρde = 3n2Φη-2, the evolutions of the equation of state and the deceleration parameter can be described in the framework of Friedmann–Robertson–Walker universe. Moreover, the field equations of the Brans–Dicke gravity can be cast to the form of the first law of thermodynamics with the so-called entropy production term . Furthermore, the generalized second law of thermodynamics can be given in nonflat Brans–Dicke gravity with the interacting NADE enclosed by the dynamical apparent horizon with Hawking temperature. Finally, when the interaction between NADE and dark matter is considered as a fluctuation around the thermal equilibrium, it can be written to a form of logarithmic correction, and the expression of the interaction term can be obtained.