On the resonant activation and inhibition of activation in fluctuating barrier problems

2000 ◽  
Author(s):  
J. Iwaniszewski
Keyword(s):  
Barrier Problems ◽  
Resonant Activation

scholarly journals Resonant activation of resistive switching in ZrO2(Y) based memristors

2020 ◽  
Vol 1695 ◽  
pp. 012151
Author(s):  
V N Baranova ◽  
D O Filatov ◽  
D A Antonov ◽  
I N Antonov ◽  
O N Gorshkov
Keyword(s):  
Resistive Switching ◽  
Resonant Activation

Resonant activation through effective temperature oscillation in a Josephson tunnel junction

2009 ◽  
Vol 79 (3) ◽  
Author(s):  
Cheng Pan ◽  
Xinsheng Tan ◽  
Yang Yu ◽  
Guozhu Sun ◽  
Ling Kang ◽  
...  
Keyword(s):  
Tunnel Junction ◽  
Effective Temperature ◽  
Temperature Oscillation ◽  
Josephson Tunnel ◽  
Resonant Activation

scholarly journals Resonant activation of population extinctions

2017 ◽  
Vol 96 (4) ◽  
Author(s):  
Christopher Spalding ◽  
Charles R. Doering ◽  
Glenn R. Flierl
Keyword(s):  
Resonant Activation

Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process

2020 ◽  
Vol 6 (4) ◽  
Author(s):  
Mario Di Paola ◽  
Gioacchino Alotta
Keyword(s):  
Path Integral ◽  
Path Integration ◽  
Integral Method ◽  
Degrees Of Freedom ◽  
Kolmogorov Equation ◽  
Integral Methods ◽  
Alternative Approach ◽  
Path Integration Method ◽  
Path Integral Method ◽  
Barrier Problems

Abstract In this paper, the widely known path integral method, derived from the application of the Chapman–Kolmogorov equation, is described in details and discussed with reference to the main results available in literature in several decades of contributions. The most simple application of the method is related to the solution of Fokker–Planck type equations. In this paper, the solution in the presence of normal, α-stable, and Poissonian white noises is first discussed. Then, application to barrier problems, such as first passage problems and vibroimpact problems is described. Further, the extension of the path integral method to problems involving multi-degrees-of-freedom systems is analyzed. Lastly, an alternative approach to the path integration method, that is the Wiener Path integration (WPI), also based on the Chapman–Komogorov equation, is discussed. The main advantages and the drawbacks in using these two methods are deeply analyzed and the main results available in literature are highlighted.

EFFECT OF ASYMMETRY IN A BISTABLE SYSTEM WITH QUANTUM FLUCTUATIONS: STRONG FRICTION LIMIT

2011 ◽  
Vol 25 (32) ◽  
pp. 4331-4338
Author(s):  
CHUNHUA ZENG ◽  
AILING GONG ◽  
YUHUI LUO
Keyword(s):  
Signal To Noise Ratio ◽  
First Passage Time ◽  
Quantum Fluctuations ◽  
Quantum Effects ◽  
Passage Time ◽  
Bistable System ◽  
Original Position ◽  
Classical Counterpart ◽  
The Mean ◽  
Resonant Activation

In this paper, we study the effect of asymmetry of the potential in a bistable system with quantum fluctuations. Within the quantum Smoluchowski regime, the expressions for the mean first passage time (MFPT) and signal-to-noise ratio (SNR) of the system are obtained, respectively. Based on the MFPT and SNR, we consider both, the overdamped quantum case and its classical counterpart, the effects of the quantum fluctuations and the asymmetry of the potential on the MFPT and SNR are discussed. Our main results show that (i) the quantum fluctuations facilitate the particle to reach the destination from its original position, (ii) the resonant activation (RA) phenomena can be observed with varying asymmetry of the potential, and (iii) the quantum effects in an asymmetric bistable system about SNR are prominent for lower temperatures and smaller asymmetry of the potential. Moreover, the quantum effects enhance the stochastic resonance (SR) of the system.

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