Finite-time thermodynamics of port-Hamiltonian systems
2014 (English)In: Physica D: Non-linear phenomena, ISSN 0167-2789, Vol. 267, 123-132 p.Article in journal (Refereed) Published
In this paper, we identify a class of time-varying port-Hamiltonian systems that is suitable for studying problems at the intersection of statistical mechanics and control of physical systems. Those port-Hamiltonian systems are able to modify their internal structure as well as their interconnection with the environment over time. The framework allows us to prove the First and Second Laws of thermodynamics, but also lets us apply results from optimal and stochastic control theory to physical systems. In particular, we show how to use linear control theory to optimally extract work from a single heat source over a finite time interval in the manner of Maxwell's demon. Furthermore, the optimal controller is a time-varying port-Hamiltonian system, which can be physically implemented as a variable linear capacitor and transformer. We also use the theory to design a heat engine operating between two heat sources in finite-time Carnot-like cycles of maximum power, and we compare those two heat engines.
Place, publisher, year, edition, pages
2014. Vol. 267, 123-132 p.
Hamiltonian systems, Statistical mechanics, Thermodynamics, Optimal control theory, Stochastic control theory
IdentifiersURN: urn:nbn:se:kth:diva-140659DOI: 10.1016/j.physd.2013.07.017ISI: 000329269300013ScopusID: 2-s2.0-84889099141OAI: oai:DiVA.org:kth-140659DiVA: diva2:692527
FunderSwedish Research Council, 2007-6350 2009-4565
QC 201401312014-01-312014-01-302014-01-31Bibliographically approved