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- W135097 abstract "Abstract We treat the general problem of transferring a system from a given initial state to a given final state in a given finite time such that the produced entropy or the loss of availability is minimized. This problem leads to a second-order differential equation similar to the Euler–Lagrange equation. However, while mechanical systems naturally follow the trajectory that minimizes the action, a thermodynamic system does not tend to minimize dissipation, rather an external control is required, for which we give the equations. We give exact equations for the optimal process for the general case of a nonlinear system with several state variables, and show solved examples for the case of two state variables. Not only the speed but also the path depends on the available time. For linear processes, e.g. in the limit of slow processes or if the Onsager coefficients do not depend on the fluxes, we find a constant entropy-production rate or a constant loss rate of availability and an optimal path independent of the available time ." @default.
- W135097 created "2016-06-24" @default.
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- W135097 date "2005-01-01" @default.
- W135097 modified "2023-10-16" @default.
- W135097 title "Optimal Finite-Time Endoreversible Processes—General Theory and Applications" @default.
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- W135097 doi "https://doi.org/10.1016/b978-008044488-8/50033-3" @default.
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