How superlocalization affects Vibrational Energy Exchange process in proteins

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 $d \sim 1$.