Brownian particles interacting sequentially with distinct temperatures and
driving forces at each stroke have been tackled as a reliable alternative for
the construction of engine setups. However they can behave very inefficiently
depending on the driving used for the worksource and/or when temperatures of
each stage are very different from each other. Inspired by some models for
molecular motors and recent experimental studies, a coupling between driving
and velocities is introduced as an alternative ingredient for enhancing the
system performance. Here, the role of this new ingredient for levering the
engine performance is detailed investigated from stochastic thermodynamics.
Exact expressions for quantities and distinct maximization routes have been
obtained and investigated. The search of an optimal coupling provides a
substantial increase of engine performance (mainly efficiency), even for large
ΔT. A simple and general argument for the optimal coupling can be
estimated, irrespective the driving and other model details.Comment: 10 pages, 8 figures, comments are welcom