Rn. Mantegna et B. Spagnolo, PROBABILITY-DISTRIBUTION OF THE RESIDENCE TIMES IN PERIODICALLY FLUCTUATING METASTABLE SYSTEMS, International journal of bifurcation and chaos in applied sciences and engineering, 8(4), 1998, pp. 783-790
We investigate experimentally and numerically the probability distribu
tion of the residence times in periodically fluctuating metastable sys
tems. The experiments are performed in a physical metastable system wh
ich is the series of a biasing resistor with a tunnel diode in paralle
l to a capacitor. The numerical simulations are performed in an overda
mped model system with a time-dependent potential. We investigate both
the cases where the system is deterministically overall-stable and ov
erall-unstable. In the overall-unstable regime, the experimental and t
he numerically investigated systems show noise enhanced stability in t
he presence of a finite amount of noise. The determined P(T) is multi-
peaked with an exponentially decaying envelop. We note that the shape
of the nth peak in the P(T) is roughly fitted by a Gaussian function w
ith standard deviation independent of n.