Kramers escape rate in overdamped systems with the power-law distribution

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