Dynamical Response of Particles in Asymmetric Ratchet Potential

Symmetry

Usman A. Marte²  Uchechukwu E. Vincent³  Abdulahi N. Njah¹ 

[1] Department of Physics, Federal University of Agriculture, P.M.B. 2240 Abeokuta, Nigeria; E-Mails:;Department of Mathematics and Statistics, University of Maiduguri, P.M.B. 1069 Maiduguri, Nigeria;Department of Physics, Lancaster University of Lancaster, Lancaster LA1 4YB, UK

关键词: ratchets;    asymmetry potential;    resonance;    multiple time scale;    chaos;   

DOI  :  10.3390/sym6040896

来源: mdpi

【 摘 要 】

The dynamics and response of particles in an asymmetric potential of the ratchet type is considered. An approximate asymmetric ratchet potential, which allows us to apply an analytical approach to investigate the systems’ response, is proposed based on the power series interpolation scheme. The method of multiple scales (MMS) is then employed to obtain an approximate solution at the principal resonance. Comparison between results obtained from the approximated and exact potentials show excellent agreement. The frequency response curves (FRCs) for different forcing are presented. The numerically computed FRCs were compared with the theoretical result to show the extent of agreement. Furthermore, by using perturbation methods, the stable and unstable domains of the solution were obtained.

【 授权许可】

CC BY   
© 2014 by the authors; licensee MDPI, Basel, Switzerland