scholarly journals Flow-equation approach to quantum systems driven by an amplitude-modulated time-periodic force

2022 ◽  
Vol 105 (1) ◽  
Author(s):  
Viktor Novičenko ◽  
Giedrius Žlabys ◽  
Egidijus Anisimovas
2019 ◽  
Vol 9 (2) ◽  
Author(s):  
Michael Vogl ◽  
Pontus Laurell ◽  
Aaron D. Barr ◽  
Gregory A. Fiete

2015 ◽  
Vol 29 (12) ◽  
pp. 1550069
Author(s):  
T. F. Gao ◽  
L. F. Wang ◽  
R. Z. Huang ◽  
Z. G. Zheng

The transport performance of two feedback-coupled Brownian particles, which are subjected to the external force, the unbiased time-periodic force and thermal noise, is investigated in the double-well ratchet potential. The average velocity, the average diffusion coefficient and the Pe number are calculated, respectively. The results demonstrate that the transport characteristic of Brownian particles is different under the action of two factors of unbiased time-periodic force, amplitude and frequency. The former factor induces the increase of the average velocity and the average diffusion coefficient with the decrease of thermal noise intensity within certain limits, whereas the latter makes the average velocity decrease in the transport of coupled particles. Moreover, it is found there is an optimal value of the driving frequency at which the Pe number reaches its maximum. Remarkably, it is shown that the current reversal can be achieved by increasing the external force, and the directed transport can be enhanced by varying the structure of the ratchet potential and the intensity of noise.


2018 ◽  
Vol 855 (1) ◽  
pp. L7
Author(s):  
Xing Wei
Keyword(s):  

2004 ◽  
Vol 10 (10) ◽  
pp. 1517-1533 ◽  
Author(s):  
V. S. Deshmukh ◽  
S. C. Sinha

We address the problem of designing controllers that guarantee asymptotic stability of a class of linear as well as nonlinear dynamical systems with time-periodic coefficients. Using a repeated procedure consisting of the Lyapunov-Floquet transformation, the backstepping technique, and Floquet theory, the asymptotic stability of the closed-loop linearized system is guaranteed. Further, a Lyapunov matrix for the closed-loop asymptotically stable linearized system is constructed. This Lyapunov function is then used to design a combination of linear and nonlinear controllers in order to guarantee the asymptotic stability of the nonlinear system. The methodology is illustrated by designing linear and nonlinear control laws for a system consisting of two statically coupled pendula, each subjected to a time-periodic force acting in the axial direction.


Sign in / Sign up

Export Citation Format

Share Document