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Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems

  • We characterize finite-time thermodynamic processes of multidimensional quadratic overdamped systems. Analytic expressions are provided for heat, work, and dissipation for any evolution of the system covariance matrix. The Bures-Wasserstein metric between covariance matrices naturally emerges as the local quantifier of dissipation. General principles of how to apply these geometric tools to identify optimal protocols are discussed. Focusing on the relevant slow-driving limit, we show how these results can be used to analyze cases in which the experimental control over the system is partial.

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Author details:Paolo AbiusoORCiD, Viktor Holubec, Janet AndersORCiD, Zhuolin Ye, Federico Cerisola, Marti Perarnau-Llobet
DOI:https://doi.org/10.1088/2399-6528/ac72f8
ISSN:2399-6528
Title of parent work (English):Journal of physics communications
Publisher:IOP Publ. Ltd.
Place of publishing:Bristol
Publication type:Article
Language:English
Date of first publication:2022/06/13
Publication year:2022
Release date:2024/06/17
Tag:overdamped brownian systems; stochastic thermodynamics; thermodynamic control; thermodynamic length
Volume:6
Issue:6
Article number:063001
Number of pages:15
Funding institution:Humboldt foundation; Czech Science Foundation [20-02955J]; la Caixa'; Foundation [100 010 434, LCF/BQ/DI19/11730023]; Government of Spain; [CEX2019-000910-S]; Fundacio Cellex; Fundacio Mir-Puig, Generalitat de; Catalunya (CERCA) [AGAUR SGR 1381]; Fundational Questions Institute Fund; [FQXi-IAF19-01]; EPSRC [EP/R045577/1]; China Scholarship Council (CSC); [201 906 310 136]; Swiss National Science Foundation [PZ00P2-186067]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
DDC classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Peer review:Referiert
Publishing method:Open Access / Gold Open-Access
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License (German):License LogoCC-BY - Namensnennung 4.0 International
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