TY - JOUR
T1 - Investigation on Energetic Optimization Problems of Stochastic Thermodynamics with Iterative Dynamic Programming
AU - Linchen Gong, Ming Li & Zhong-can Ou-Yang
JO - Communications in Computational Physics
VL - 5
SP - 904
EP - 926
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/10.4208/cicp.2009.09.123
UR - https://global-sci.org/intro/article_detail/cicp/7659.html
KW - 
AB - <p style="text-align: justify;">The energetic optimization problem, e.g., searching for the optimal switching
protocol of certain system parameters to minimize the input work, has been extensively
studied by stochastic thermodynamics. In this work, we study this problem
numerically using iterative dynamic programming. The model systems under investigation
are toy actuators consisting of spring-linked beads with loading force imposed
on both ending beads. For the simplest case, i.e., a one-spring actuator driven by tuning
the stiffness of the spring, we compare the optimal control protocol of the stiffness
for both the overdamped and the underdamped situations, and discuss how inertial
effects alter the irreversibility of the driven process and thus modify the optimal protocol.
Then, we study the systems with multiple degrees of freedom by constructing
oligomer actuators, in which the harmonic interaction between the two ending beads is
tuned externally. With the same rated output work, actuators of different constructions
demand different minimal input work, reflecting the influence of the internal degrees
of freedom on the performance of the actuators.</p>