  Recent experimental findings on a protein showed the diffusion of vibrational
energy does not occur along the backbone interaction,as it might be expected,
but prevalently on non-bonded contacts. These results are explained presenting
a theoretical picture, supported by computational calculations, that accounts
for these different behaviors in vibrational energy exchange process showing
the collective motions on the backbone present a $superlocalized$ nature as
their decay with the distance $r$ is $exp(-r^{d})$ with $d \sim 1.8$, whereas
those associated to non-bonded contacts result simply localized with $d \sim
1$.
