Thermodynamics of general scalar-tensor theory with non-minimally
  derivative coupling
  With the usual definitions for the entropy and the temperature associated
with the apparent horizon, we discuss the first law of the thermodynamics on
the apparent in the general scalar-tensor theory of gravity with the kinetic
term of the scalar field non-minimally coupling to Einstein tensor. We show the
equivalence between the first law of thermodynamics on the apparent horizon and
Friedmann equation for the general models, by using a mass-like function which
is equal to the Misner-Sharp mass on the apparent horizon. The results further
support the universal relationship between the first law of thermodynamics and
Friedmann equation.
