Volume 7, Issue 5
Investigation on Energetic Optimization Problems of Stochastic Thermodynamics with Iterative Dynamic Programming

Linchen Gong, Ming Li & Zhong-can Ou-Yang

Commun. Comput. Phys., 7 (2010), pp. 904-926.

Published online: 2010-07

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  • Abstract

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.

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@Article{CiCP-7-904, author = {}, title = {Investigation on Energetic Optimization Problems of Stochastic Thermodynamics with Iterative Dynamic Programming}, journal = {Communications in Computational Physics}, year = {2010}, volume = {7}, number = {5}, pages = {904--926}, abstract = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.2009.09.123}, url = {http://global-sci.org/intro/article_detail/cicp/7659.html} }
TY - JOUR T1 - Investigation on Energetic Optimization Problems of Stochastic Thermodynamics with Iterative Dynamic Programming 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 -

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.

Linchen Gong, Ming Li & Zhong-can Ou-Yang. (2020). Investigation on Energetic Optimization Problems of Stochastic Thermodynamics with Iterative Dynamic Programming. Communications in Computational Physics. 7 (5). 904-926. doi:10.4208/cicp.2009.09.123
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