coaxial cables and displacement current

Hi All,

Consider a situation in which a coaxial cable have electric current i(t) = Imax * cos(w*t) flowing through its cilindrical inner cylindrical core (with radius a) and the inverse current flowing on its surface cover (with radius b).
I would like to know if it is correct to say that, outside de cable (r > b), we will see not only zero current effects (due to obvious cancelation) but also zero displacement current effects.

I hope my explanation could have achieved the necessary clarity.

Best wishes,

DaTario