TY - JOUR
T1 - Resonant enhancement of the jump rate in a double-well potential
AU - Zolotaryuk, Yaroslav
AU - Ermakov, V. N.
AU - Christiansen, Peter Leth
PY - 2004
Y1 - 2004
N2 - We study the overdamped dynamics of a Brownian particle in the double-well potential under the influence of an external periodic (AC) force with zero mean. We obtain a dependence of the jump rate on the frequency of the external force. The dependence shows a maximum at a certain driving frequency. We explain the phenomenon as a switching between different time scales of the system: interwell relaxation time (the mean residence time) and the intrawell relaxation time. Dependence of the resonant peak on the system parameters, namely the amplitude of the driving force A and the noise strength (temperature) D has been explored. We observe that the effect is well pronounced when A/D > 1 and if A/D ≫ 1 the enhancement of the jump rate can be of the order of magnitude with respect to the Kramers rate.
AB - We study the overdamped dynamics of a Brownian particle in the double-well potential under the influence of an external periodic (AC) force with zero mean. We obtain a dependence of the jump rate on the frequency of the external force. The dependence shows a maximum at a certain driving frequency. We explain the phenomenon as a switching between different time scales of the system: interwell relaxation time (the mean residence time) and the intrawell relaxation time. Dependence of the resonant peak on the system parameters, namely the amplitude of the driving force A and the noise strength (temperature) D has been explored. We observe that the effect is well pronounced when A/D > 1 and if A/D ≫ 1 the enhancement of the jump rate can be of the order of magnitude with respect to the Kramers rate.
U2 - 10.1088/0305-4470/37/23/006
DO - 10.1088/0305-4470/37/23/006
M3 - Journal article
SN - 0305-4470
VL - 37
SP - 6043
EP - 6051
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 23
ER -