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Dynamical properties of an asymmetric bistable system with quantum fluctuations in the strong-friction limit

100%
Zeng C., Gong A., Xie C.
Open Physics
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2011
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vol. 9
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issue 1
198-204
EN
The dynamical properties of an overdamped Brownian particle moving in an asymmetric bistable system with quantum fluctuations are investigated. Within the strong-friction limit (the quantum Smoluchowski regime), the analytic expression for the relaxation time of the system is derived by means of the projection-operator method, in which the effects of the memory kernels are taken into account. Based on the relaxation time, we consider both the overdamped quantum case and its classical counterpart.In these contexts, the effects of the quantum fluctuations and the asymmetry of the potential are discussed. It is found that: (i) The quantum effects in an asymmetric bistable system on time scales of the relaxation process are more prominent for lower temperatures and smaller asymmetries of the potential. (ii) The quantum effects speed up the rate of fluctuation decay of the state-space variable for lower temperatures. (iii) The asymmetry of the potential first slows down the rate of fluctuation decay of the state-space variable and then increases it.
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Effects of time delay on the statistical fluctuations for a bistable system driven by cross-correlated noises

100%
Zeng C.-h., Zhou X.-f., Tao S.-f.
Open Physics
|
2009
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vol. 7
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issue 3
534-540
EN
We study the effects of time delay on the normalized correlation function C(s) and the associated relaxation time T c for a bistable system with correlations between multiplicative and additive white noises under the condition of small time delay. Using the projection operator method, the expressions of T c and C(s) are obtained. Based on numerical computations, it is found that the delay time τ slows down the rate of fluctuation decay of dynamical variable for the presence of positive feedback intensity (∈ > 0), while speeds up the rate of fluctuation decay of dynamical variable for the presence of negative feedback intensity (∈ < 0). The effects of the delay time τ on the T c and C(s) are entirely opposite for ∈ 〉 0 and ∈ < 0.
3
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Selected aspects of computer modeling of reinforced concrete structures

62%
Szczecina M., Winnicki A., Szczecina M., Winnicki A.
Archives of Civil Engineering
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2016
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issue 1
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