Influence of Gaussian white noise on the frequency-dependent first nonlinear polarizability of doped quantum dot

2014 ◽  
Vol 115 (17) ◽  
pp. 174313 ◽  
Author(s):  
Jayanta Ganguly ◽  
Manas Ghosh
Keyword(s):  
Quantum Dot ◽  
White Noise ◽  
Gaussian White Noise ◽  
Frequency Dependent ◽  
Nonlinear Polarizability

scholarly journals Excitation Kinetics of Impurity Doped Quantum Dot Triggered by Gaussian White Noise

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Suvajit Pal ◽  
Sudarson Sekhar Sinha ◽  
Jayanta Ganguly ◽  
Manas Ghosh
Keyword(s):  
Quantum Dot ◽  
White Noise ◽  
Multiplicative Noise ◽  
Gaussian White Noise ◽  
Noise Strength ◽  
Complex Interplay ◽  
Additive And Multiplicative Noise ◽  
Impurity Doped ◽  
Dopant Location ◽  
Kinetics Of

We investigate the excitation kinetics of a repulsive impurity doped quantum dot initiated by the application of Gaussian white noise. In view of a comprehensive research we have considered both additive and multiplicative noise (in Stratonovich sense). The noise strength and the dopant location have been found to fabricate the said kinetics in a delicate way. Moreover, the influences of additive and multiplicative nature of the noise on the excitation kinetics have been observed to be prominently different. The investigation reveals emergence of maximization and saturation in the excitation kinetics as a result of complex interplay between various parameters that affect the kinetics. The present investigation is believed to provide some useful perceptions of the functioning of mesoscopic systems where noise plays some profound role.

Excitation kinetics of impurity doped quantum dot driven by Gaussian white noise: Interplay with external field

2013 ◽  
Vol 426 ◽  
pp. 54-58 ◽  
Author(s):  
Suvajit Pal ◽  
Sudarson Sekhar Sinha ◽  
Jayanta Ganguly ◽  
Manas Ghosh
Keyword(s):  
Quantum Dot ◽  
External Field ◽  
White Noise ◽  
Gaussian White Noise ◽  
Impurity Doped ◽  
Kinetics Of

scholarly journals Stochastic P-bifurcation in a bistable Van der Pol oscillator with fractional time-delay feedback under Gaussian white noise excitation

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Yajie Li ◽  
Zhiqiang Wu ◽  
Guoqi Zhang ◽  
Feng Wang ◽  
Yuancen Wang
Keyword(s):  
Time Delay ◽  
White Noise ◽  
Gaussian White Noise ◽  
Singularity Theory ◽  
Van Der Pol Oscillator ◽  
Order System ◽  
Damping Force ◽  
Van Der Pol ◽  
Restoring Force ◽  
White Noise Excitation

Abstract The stochastic P-bifurcation behavior of a bistable Van der Pol system with fractional time-delay feedback under Gaussian white noise excitation is studied. Firstly, based on the minimal mean square error principle, the fractional derivative term is found to be equivalent to the linear combination of damping force and restoring force, and the original system is further simplified to an equivalent integer order system. Secondly, the stationary Probability Density Function (PDF) of system amplitude is obtained by stochastic averaging, and the critical parametric conditions for stochastic P-bifurcation of system amplitude are determined according to the singularity theory. Finally, the types of stationary PDF curves of system amplitude are qualitatively analyzed by choosing the corresponding parameters in each area divided by the transition set curves. The consistency between the analytical solutions and Monte Carlo simulation results verifies the theoretical analysis in this paper.

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