Accuracy of the analytical escape rate for a cusp barrier in the overdamping regime

A V Zakharov, M V Chushnyakova, I I Gontchar
2020 Journal of Physics, Conference Series  
For the first time, the accuracy of the approximate analytical Kramers formula for the thermal decay rate over a cusp barrier, R_K, is checked numerically for the overdamping regime. The numerical quasistationary rate, R_D, which is believed to be exact within the statistical errors is evaluated by means of computer modeling of the stochastic Langevin-type dynamical equations. The agreement between R_K and R_D significantly depends upon the friction strength and the height of the barrier in
more » ... arison to the thermal energy. The difference between R_K and R_D decreases with the dimensionless damping parameter ϕ, however, does not become smaller than 10-20 unexpected growth of the difference between R_K and R_D with the governing parameter is observed.
doi:10.1088/1742-6596/1441/1/012181 fatcat:w7diw4q5ovdnpngl5sucwp2pne