Ratchet models using driving forces generated by deterministic chaotic maps.
This study investigates how ratchets perform under driving forces generated by the circle, baker, and logistic maps with varying driving frequencies. The markedly different unidirectional net transports induced by distinct maps and frequencies are clarified by vector field analysis of the ratchet equations. Analysis results indicate that both the deterministic property of the driving forces and the asymmetric effect due to the ratchet potential impact the transport. Moreover, the driving frequency determines which factor suppresses the other one and dominates the ratchet transport.
Chang
Cheng-Hung
CH
National Center for Theoretical Sciences, Physics Division, 101, Section 2 Kuang-Fu Road, Hsinchu 300, Taiwan.