  We study the asymptotics of the higher dimensional Reidemeister torsion for
torus knot exteriors, which is related to the results by W. M\"uller and P.
Menal-Ferrer and J. Porti on the asymptotics of the Reidemeister torsion and
the hyperbolic volumes for hyperbolic 3-manifolds. We show that the sequence of
log |the higher dimensional Reidemeister torsion of a torus knot exterior with
SL(2N,C)-representation| / (2N)^2 converges to zero when N goes to infinity. We
also give a classification for SL(2,C)-representations of torus knot groups,
which induce acyclic SL(2N,C)-representations.
