Anomalous barrier escaping in an externally modulated environment of system-reservoir coupling

2015 ◽  
Vol 29 (04) ◽  
pp. 1550012
Author(s):  
Chun-Yang Wang
Keyword(s):  
Transmission Coefficient ◽  
Heat Bath ◽  
Time Dependent ◽  
Correlated Noise ◽  
Rate Process ◽  
Flux Method ◽  
Uhlenbeck Process ◽  
External Modulation ◽  
Net Flux ◽  
Effective Transmission

The time-dependent barrier passage of an activated rate process is studied where the heat bath in the system-reservoir coupling environment is modulated by an external fluctuation. For a thorough inspection on the barrier recrossing dynamics, the Kramers rate and effective transmission coefficient are calculated of the reactive flux method. In the particular case of a δ-correlated noise activated Ornstein–Uhlenbeck process, it is found that, the external modulation can in some cases result in an maximum effective transmission coefficient. This reveals a maximum net flux and can be obtained from the minimum barrier recrossing resulted from appropriate external modulation.

Time-dependent barrier passage of one-dimensional fractional damping reactive system

2018 ◽  
Vol 32 (26) ◽  
pp. 1850285
Author(s):  
Chun-Yang Wang ◽  
Zhao-Peng Sun ◽  
Ming Qing ◽  
Yu-Qing Xu
Keyword(s):  
Transmission Coefficient ◽  
Brownian Particle ◽  
Time Dependent ◽  
Reactive System ◽  
Damping Properties ◽  
Flux Method ◽  
Fractional Damping ◽  
One Dimensional ◽  
Reactive Process ◽  
Insight Into

The time-dependent barrier passage of a Brownian particle diffusing in the fractional damping environment is studied by using the reactive flux method. Characteristic quantities such as the rate constant and stationary transmission coefficient are computed for a thimbleful of insight into the barrier escaping dynamics. Results show that the barrier recrossing of the fractional damping reactive system is obviously weakened. And the nonmonotonic varying of the stationary transmission coefficient reveals a close dependence of the escaping process on the fractional damping properties. The time-dependent barrier passage of one-dimensional fractional damping reactive process is found very similar to the two-dimensional non-Ohmic case.

scholarly journals INTERNAL AND EXTERNAL FLUCTUATION ACTIVATED NONEQUILIBRIUM REACTIVE RATE PROCESS

2013 ◽  
Vol 27 (10) ◽  
pp. 1350072 ◽  
Author(s):  
CHUN-YANG WANG
Keyword(s):  
Saddle Point ◽  
Transmission Coefficient ◽  
Rate Process ◽  
External Fluctuations ◽  
Effective Transmission ◽  
External Activation ◽  
Reactive Flux

An externally activated nonequilibrium anomalous reactive rate process is studied by taking into account both internal and external fluctuations in a unified way. The probability of diffusion passing over the saddle point and the reactive rate together with the effective transmission coefficient are calculated by the method of reactive flux. It is found that the fierceness of internal fluctuation is always harmful to the diffusion of particles. However, the external activation may be beneficial to the rate process.

Modeling of Mutually Coupled Switched Reluctance Motors Based on Net Flux Method

2020 ◽  
Vol 56 (3) ◽  
pp. 2451-2461
Author(s):  
Siddharth Mehta ◽  
Md Ashfanoor Kabir ◽  
Iqbal Husain ◽  
Prerit Pramod
Keyword(s):  
Switched Reluctance Motors ◽  
Flux Method ◽  
Switched Reluctance ◽  
Net Flux

scholarly journals Planning of experiments for a nonautonomous ornstein-uhlenbeck process

2012 ◽  
Vol 51 (1) ◽  
pp. 101-113 ◽  
Author(s):  
Vladimír Lacko
Keyword(s):  
Sampling Design ◽  
Information Matrix ◽  
Mean Reversion ◽  
Time Dependent ◽  
Optimal Designs ◽  
Optimal Sampling ◽  
Uhlenbeck Process ◽  
Optimal Sampling Design ◽  
Ornstein Uhlenbeck Process ◽  
Planning Of Experiments

ABSTRACT We study exact optimal designs for processes governed by mean- -reversion stochastic differential equations with a time dependent volatility and known mean-reversion speed. It turns out that any mean-reversion It¯o process has a product covariance structure.We prove the existence of a nondegenerate optimal sampling design for the parameter estimation and derive the information matrix corresponding to the observation of the full path. The results are demonstrated on a process with exponential volatility.

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