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Optimization of thermodynamic systems

This thesis compiles the publications I coauthored during my doctoral studies at
University of Leipzig on the subject of optimizing thermodynamic systems, focusing on three optimization perspectives: maximum efficiency, maximum power,
and maximum efficiency at given power. We considered two currently intensely
studied models in finite-time thermodynamics, i.e., low-dissipation models and
Brownian systems. The low-dissipation model is used to derive general bounds
on the performance of real-world machines, while Brownian systems allow us to
better understand the practical limits and features of small systems. First, we derived maximum efficiency at given power for various low-dissipation setups, with
a particular focus on the behavior close to maximum power, which helps us to
determine whether it is more beneficial to operate the system at maximum power,
near maximum power or in a different regime. Then, we move to the design of
maximum-efficiency and maximum-power protocols for Brownian systems under
different boundary conditions. Particularly, when the constraints on control parameters are experimentally motivated, we presented a geometric method yielding
maximum-efficiency and maximum-power protocols valid for systems with periodically scaled energy spectrum and otherwise arbitrary dynamics. Each chapter
contains a short informal introduction to the matter as well as an outlook, pointing
out the direction for our research in the future.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:89024
Date16 January 2024
CreatorsYe, Zhuolin
ContributorsUniversität Leipzig
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/acceptedVersion, doc-type:doctoralThesis, info:eu-repo/semantics/doctoralThesis, doc-type:Text
Rightsinfo:eu-repo/semantics/openAccess

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