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• W3133685742 abstract "We study a relationship between optimal transport theory and stochastic thermodynamics for the Fokker-Planck equation. We show that the lower bound on the entropy production is the action measured by the path length of the $L^2$-Wasserstein distance, which is a measure of optimal transport. Using the geometrical interpretation of the entropy production by the $L^2$-Wasserstein distance, we obtain a trade-off relation between the transition time and the entropy production as a variant of thermodynamic speed limits. We also discuss stochastic thermodynamics for the subsystem. We derive a lower bound on the partial entropy production by the $L^2$-Wasserstein distance as a generalization of the second law of information thermodynamics. We focus on a stochastic heat engine and show a geometrical constraint by the $L^2$-Wasserstein distance. Because the $L^2$-Wasserstein distance is a measure of the optimal transport, our formalism leads to the optimal protocol to minimize the entropy production. We illustrate these results by the Brownian particle in a harmonic trap." @default.
• W3133685742 created "2021-03-15" @default.
• W3133685742 creator A5046473271 @default.
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• W3133685742 date "2021-02-28" @default.
• W3133685742 modified "2023-10-01" @default.
• W3133685742 title "Geometrical aspects of entropy production in stochastic thermodynamics based on Wasserstein distance" @default.
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• W3133685742 hasPublicationYear "2021" @default.
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