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Thermally activated escape rate for a Brownian particle in a tilted periodic potential for all values of the dissipation
Physical Review E
The translational Brownian motion of a particle in a tilted washboard potential is considered. The dynamic structure factor and longest relaxation time are evaluated from the solution of the governing Langevin equation by using the matrix continued fraction method. The longest relaxation time is compared with the Kramers theory of the escape rate of a Brownian particle from a potential well as extended to the Kramers turnover region by Mel'nikov ͓Physics Reports 209, 1 ͑1991͔͒. It is shown thatdoi:10.1103/physreve.73.061101 pmid:16906803 fatcat:ezxuuftspbhgnhdmpxceheeg2e