  We consider force-induced unzipping transition for a heterogeneous DNA model
with a long-range correlated base-sequence. It is shown that as compared to the
uncorrelated situation, long-range correlations smear the unzipping
phase-transition, change its universality class and lead to non-self-averaging:
the averaged behavior strongly differs from the typical ones. Several basic
scenarios for this typical behavior are revealed and explained. The results can
be relevant for explaining the biological purpose of long-range correlations in
DNA.
