  The some dynamic properties of a random heteropolymer in the condensed state
are studied in the mode coupling approximation. In agreement with recent report
a dynamic friction increasing is predicted for the random heteropolymer with
power-law correlations in comparison with exponential correlations. In the case
of strong power-law correlations the dynamic friction function diverge in the
thermodynamic limit. The qualitative explanation is given for the monomer's
dynamics slowing down and diverged energetic barrier between the frozen and
random coil states. The possible relations with protein's function and
evolution are discussed.
