I dont know of any online paper but usually general chemistry or pchem books offer a qualitative explanation of the VDW equation of state. Some books even use statistical mechanics and a hybrid of a hard-sphere and Lennard-Jones potential model to give a clearer meaning of the constants a and b. The berthelot eq is the same as VDW except the attractive forces become temperature dependent.
Patt = a / V2 ( VDW )
Patt = a / TV2 ( Berthelot )
At very high temperatures, the attractive forces vanish. Therefore Berthelot included the T factor in the denominator.