RT Journal Article
T1 Threshold feedback control for a collective flashing ratchet: Threshold dependence
A1 Feito, M.
A1 Cao García, Francisco Javier
AB We study the threshold control protocol for a collective flashing ratchet. In particular, we analyze the dependence of the current on the values of the thresholds. We have found analytical expressions for the small threshold dependence both for the few and for the many particle cases. For few particles the current is a decreasing function of the thresholds, thus, the maximum current is reached for zero thresholds. In contrast, for many particles the optimal thresholds have a nonzero finite value. We have numerically checked the relation that allows to obtain the optimal thresholds for an infinite number of particles from the optimal period of the periodic protocol. These optimal thresholds for an infinite number of particles give good results for many particles. In addition, they also give good results for few particles due to the smooth dependence of the current up to these threshold values.
PB American Physical Society
SN 2470-0045
YR 2006
FD 2006-10-09
LK https://hdl.handle.net/20.500.14352/104643
UL https://hdl.handle.net/20.500.14352/104643
LA eng
NO Feito, M., & Cao, F. J. (2006). Threshold feedback control for a collective flashing ratchet: Threshold dependence. Physical review E, 74(4), 041109.
NO Ministerio de Ciencia y Tecnología (España)
NO Universidad Complutense de Madrid
NO European Science Foundation
DS Docta Complutense
RD 15 dic 2025