Dynamical Response of Particles in Asymmetric Ratchet Potential

Autor: Usman A. Marte, Uchechukwu E. Vincent, Abdulahi N. Njah, Biodun S. Badmus
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Symmetry, Vol 6, Iss 4, Pp 896-908 (2014)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym6040896
Popis: 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.
Databáze: Directory of Open Access Journals