  Kramers escape rate in the overdamped systems with the power-law distribution
is studied. By using the mean first passage time, we derive the escape rate for
the power-law distribution and obtain the Kramers' infinite barrier escape rate
in this case. It is shown that the escape rate for the power-law distribution
extends the Kramers' overdamped result to the relatively low barrier.
Furthermore, we apply the escape rate for the power-law distribution to the
unfolding of titin and show a better agreement with the experimental rate than
the traditional escape rate.
