Dynamic Properties of Random Heteropolymer with Correlations in Sequence

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.